Keyword Index

A

  • Abel equation Some new families of definite polynomials and the composition conjectures [Volume 5, Issue 3, 2017, Pages 214-223]
  • Abelian integral An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system [Volume 6, Issue 4, 2018, Pages 438-447]
  • Abel integral equation Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for Abel Volterra integral equation of the second kind [Volume 8, Issue 4, 2020, Pages 770-780]
  • Abel’s equation Solving Abel’s equations with the shifted Legendre polynomials [Volume 11, Issue 4, 2023, Pages 865-875]
  • ABS Algorithm An ABC algorithm based approach to solve a nonlinear inverse reaction-diffusion problem associate with the ecological invasions [Volume 11, Issue 1, 2023, Pages 143-160]
  • Accelerator parameter Efficient family of three-step with-memory methods and their dynamics [Volume 12, Issue 3, 2024, Pages 599-609]
  • Activated sludge Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Adams methods Nordsieck representation of high order predictor-corrector Obreshkov methods and their implementation [Volume 7, Issue 1, 2019, Pages 16-27]
  • Adaptive mesh refinement An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Adaptive methods A two-step method adaptive with memory with eighth-order for solving nonlinear equations and its dynamic [Volume 10, Issue 4, 2022, Pages 1007-1026]
  • Adaptive Monte Carlo algorithm An adaptive Monte Carlo algorithm for European and American options [Volume 10, Issue 2, 2022, Pages 489-501]
  • Adaptive Monte Carlo algorithm A generalized adaptive Monte Carlo algorithm based on a two-step iterative method for linear systems and its application to option pricing [Volume 12, Issue 4, 2024, Pages 687-702]
  • Adaptive Moving Mesh A numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growth [Volume 9, Issue 2, 2021, Pages 327-346]
  • Adaptive Neuro-Fuzzy Inference System Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure [Volume 9, Issue 4, 2021, Pages 919-939]
  • Adaptive Runge-Kutta Method A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation [Volume 11, Issue 1, 2023, Pages 130-142]
  • ADI method Two-Dimensional Nonlinear Schrödinger Equation Using an Alternating Direction Implicit Method [(Articles in Press)]
  • Adjoints A novel local meshless scheme based on the radial basis function for pricing multi-asset options [Volume 10, Issue 3, 2022, Pages 716-725]
  • Adjustment of hat basis functions Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Adomian Decomposition Method Solving The Stefan Problem with Kinetics [Volume 2, Issue 1, 2014, Pages 37-49]
  • Adomian Decomposition Method Numerical solution of time-dependent foam drainage equation (FDE) [Volume 3, Issue 2, 2015, Pages 111-122]
  • Adomian Decomposition Method Solution of time-fractional equations via Sumudu-Adomian decomposition method [Volume 11, Issue 2, 2023, Pages 345-356]
  • Adomian’s polynomial Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]
  • Advection-diffusion A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation [(Articles in Press)]
  • Advection-diffusion problems Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
  • Advection-diffusion reaction equation Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations [Volume 2, Issue 4, 2014, Pages 256-267]
  • Advection-dispersion equation Simulations of transport in one dimension [Volume 5, Issue 3, 2017, Pages 189-200]
  • A generalized three-dimensional KP-BBM equation On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation [(Articles in Press)]
  • Airy function Fractional Ostrovsky equation [Volume 8, Issue 4, 2020, Pages 648-660]
  • Algebraic equations Optimal control of Volterra integro-differential equations based on interpolation polynomials and collocation method [Volume 11, Issue 1, 2023, Pages 52-64]
  • Almost conjugate Jordan homomorphism Automatic continuity of almost conjugate Jordan homomorphism on Fr$cute{ ext{e}}$chet $Q$-algebras [Volume 7, Issue 4 (Special Issue), 2019, Pages 601-607]
  • Almost homomorphism Automatic continuity of almost conjugate Jordan homomorphism on Fr$cute{ ext{e}}$chet $Q$-algebras [Volume 7, Issue 4 (Special Issue), 2019, Pages 601-607]
  • Almost Jordan homomorphism Automatic continuity of almost conjugate Jordan homomorphism on Fr$cute{ ext{e}}$chet $Q$-algebras [Volume 7, Issue 4 (Special Issue), 2019, Pages 601-607]
  • Almost Ricci solitons Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [Volume 12, Issue 4, 2024, Pages 710-718]
  • Almost sure exponential stability Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks [Volume 12, Issue 1, 2024, Pages 136-148]
  • Alpert‎ ‎wavelet system Alpert wavelet system for solving fractional nonlinear Fredholm integro-differential equations [Volume 9, Issue 3, 2021, Pages 762-773]
  • Alternating direction implicit approach Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • American option A compact difference scheme for time-fractional Black-Scholes equation with time-dependent parameters under the CEV model: American options [Volume 9, Issue 2, 2021, Pages 523-552]
  • American option price An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Analysis hierarchical processing Using AHP to complex network analysis tools selection [Volume 7, Issue 4 (Special Issue), 2019, Pages 635-645]
  • Analytical method New analytical soliton type solutions for double layers structure model of extended KdV equation [Volume 5, Issue 4, 2017, Pages 256-270]
  • Analytical solution Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation [Volume 4, Issue 4, 2016, Pages 261-275]
  • Analytical solution Numerical analysis of fractional order model of HIV-1 infection of CD4+ T-cells [Volume 5, Issue 1, 2017, Pages 1-11]
  • Analytical solution A novel analytical approximation approach for strongly nonlinear oscillation systems based on the energy balance method and He's Frequency-Amplitude formulation [Volume 11, Issue 3, 2023, Pages 464-477]
  • Ananthaswamy-Sivasankari method (ASM) A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid [Volume 11, Issue 4, 2023, Pages 696-715]
  • Ananthaswamy-Sivasankari method (ASM) A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]
  • Ananthaswamy-Sivasankari method (ASM) A NEW APPROXIMATE ANALYTICAL METHOD FOR SOLVING SOME NON-LINEAR BOUNDARY VALUE PROBLEMS IN REACTION-DIFFUSION MODEL [(Articles in Press)]
  • Android permissions Short message service remotely mobile device control [Volume 7, Issue 4 (Special Issue), 2019, Pages 545-565]
  • A new exact solution Application of the invariant subspace method in conjunction with the fractional Sumudu’s transform to a nonlinear conformable time-fractional dispersive equation of the fifth order [Volume 7, Issue 3, 2019, Pages 359-369]
  • Anisotropic Lebesgue-Sobolev space Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [(Articles in Press)]
  • Ansatz method Solving nonlinear space-time fractional differential equations via ansatz method [Volume 6, Issue 1, 2018, Pages 1-11]
  • Ansatz method New exact solutions and numerical approximations of the generalized KdV equation [Volume 9, Issue 3, 2021, Pages 670-691]
  • Ansatz method Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods [Volume 10, Issue 3, 2022, Pages 674-685]
  • Applying the collocation method ON THE NUMERICAL SOLUTION OF BAGLEY-TORVIK EQUATION USING THE M ¨UNTZ-LEGENDRE WAVELET COLLOCATION METHOD [(Articles in Press)]
  • Approximate function High-order numerical solution for a class of nonlinear Fredholm integro-differential equations [(Articles in Press)]
  • Approximate invariant solutions Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation [Volume 7, Issue 2, 2019, Pages 266-275]
  • Approximate Lie symmetry analysis Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter [Volume 8, Issue 1, 2020, Pages 111-118]
  • Approximate long water wave equations Solitary Wave solutions of the BK equation and ALWW system by using the first integral method [Volume 1, Issue 2, 2013, Pages 146-157]
  • Approximately invariant solution Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation [Volume 11, Issue 1, 2023, Pages 175-182]
  • Approximate Moving Least Squares Choosing the best value of shape parameter in radial basis functions by Leave-P-Out Cross Validation [Volume 11, Issue 1, 2023, Pages 108-129]
  • Approximate quadratures Solving singular integral equations by using orthogonal polynomials [Volume 6, Issue 4, 2018, Pages 411-425]
  • Approximate solution Bernoulli wavelet method for numerical solutions of system of fuzzy integral equations [Volume 9, Issue 3, 2021, Pages 846-857]
  • Approximate solutions Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]
  • Approximate symmetry Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation [Volume 7, Issue 2, 2019, Pages 266-275]
  • Approximate symmetry Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation [Volume 11, Issue 1, 2023, Pages 175-182]
  • Approximation Extremal solutions for multi-term nonlinear fractional differential equations with nonlinear boundary conditions [Volume 11, Issue 1, 2023, Pages 32-41]
  • Arbitrary order derivative Study of new monotone iterative technique for a class of arbitrary order differential equations [Volume 8, Issue 4, 2020, Pages 639-647]
  • Arithmetic mean Comparing present and accumulated value of annuities with different interest rates [Volume 7, Issue 4 (Special Issue), 2019, Pages 621-625]
  • Artificial Neural Networks Solving initial value problems using multilayer perceptron artificial neural networks [Volume 13, Issue 1, 2025, Pages 13-24]
  • Arzel\`a-Ascoli's theorem Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions [Volume 12, Issue 3, 2024, Pages 438-453]
  • Asymptotic Adomian decomposition method Asymptotic decomposition method for fractional order Riccati differential equation [Volume 9, Issue 1, 2021, Pages 63-78]
  • Asymptotically stable On asymptotic stability of Prabhakar fractional differential systems [Volume 4, Issue 4, 2016, Pages 276-284]
  • Asymptotically stable On asymptotic stability of Weber fractional differential systems [Volume 6, Issue 1, 2018, Pages 30-39]
  • Asymptotic behavior Fractional Ostrovsky equation [Volume 8, Issue 4, 2020, Pages 648-660]
  • Asymptotic behaviour Numerical computation of exponential functions in frame of Nabla fractional calculus [Volume 11, Issue 2, 2023, Pages 291-302]
  • Asymptotic distribution Asymptotic distributions of Neumann problem for Sturm-Liouville equation [Volume 2, Issue 1, 2014, Pages 19-25]
  • Asymptotic mean-square stability Preserving asymptotic mean-square stability of stochastic theta scheme for systems of stochastic delay differential equations [Volume 8, Issue 3, 2020, Pages 468-479]
  • Asymtotic stability Linear B-spline finite element Method for solving delay reaction diffusion equation [Volume 11, Issue 1, 2023, Pages 161-174]
  • Attractors Analysis of a chaotic and a non-chaotic 3D dynamical system: The Quasi-Geostrophic Omega Equation and the Lorenz-96 model [(Articles in Press)]
  • Avascular Tumor Growth A numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growth [Volume 9, Issue 2, 2021, Pages 327-346]
  • Axisymmetric flow Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]

B

  • B"{a}cklund transformation method of Riccati equation The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations [Volume 2, Issue 4, 2014, Pages 216-226]
  • Back-propagation algorithm Solving initial value problems using multilayer perceptron artificial neural networks [Volume 13, Issue 1, 2025, Pages 13-24]
  • Backward bifurcation Backward bifurcation in a two strain model of heroin addiction [Volume 10, Issue 3, 2022, Pages 656-673]
  • Backward bifurcation An epidemic model for drug addiction [Volume 10, Issue 4, 2022, Pages 876-893]
  • Backward bifurcation SEIaIsQRS EPIDEMIC MODEL FOR COVID-19 BY USING COMPARTMENTAL ANALYSIS AND NUMERICAL SIMULATION [(Articles in Press)]
  • Backward differential formula Application of the block backward differential formula for numerical solution of Volterra integro-differential equations [Volume 3, Issue 2, 2015, Pages 99-100]
  • Backward differentiation formula A hybrid method with optimal stability properties for the numerical solution of stiff differential systems [Volume 4, Issue 3, 2016, Pages 217-229]
  • Backward Euler method Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel [Volume 7, Issue 3, 2019, Pages 497-510]
  • Bagley-Torvik equation Sinc operational matrix method for solving the Bagley-Torvik equation [Volume 5, Issue 1, 2017, Pages 56-66]
  • Bakhvalov mesh A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition [Volume 8, Issue 2, 2020, Pages 236-250]
  • Bakhvalov-Shishkin mesh A second order numerical scheme for solving mixed type boundary value problems involving singular perturbation [Volume 11, Issue 4, 2023, Pages 822-833]
  • Banach algebra Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations [Volume 1, Issue 2, 2013, Pages 120-134]
  • Banach Space Analytical solution for descriptor system in partial differential equations [Volume 9, Issue 2, 2021, Pages 467-479]
  • Bang-Bang control Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials [Volume 3, Issue 3, 2015, Pages 177-191]
  • Barenblatt–Zheltov–Kochina differential equation Inverse optimization problem for a fractional analog of the Barenblatt–Zheltov–Kochina equation [(Articles in Press)]
  • Basic reproduction number A mathematical analysis of Zika virus transmission with optimal control strategies [Volume 9, Issue 1, 2021, Pages 117-145]
  • Basic reproduction number Dynamics of an SEIR epidemic model with saturated incidence rate including stochastic influence [Volume 12, Issue 2, 2024, Pages 350-360]
  • Basic reproduction number Rumor spread dynamics and its sensitivity analysis under the influence of the Caputo fractional derivatives [Volume 12, Issue 2, 2024, Pages 236-265]
  • Basic reproduction number SEIaIsQRS EPIDEMIC MODEL FOR COVID-19 BY USING COMPARTMENTAL ANALYSIS AND NUMERICAL SIMULATION [(Articles in Press)]
  • Basic reproduction number Stability analysis of SAIR mathematical model with general incidence rates and temporary immunity [(Articles in Press)]
  • Basin of attraction A two-step method adaptive with memory with eighth-order for solving nonlinear equations and its dynamic [Volume 10, Issue 4, 2022, Pages 1007-1026]
  • Basin of attraction Efficient family of three-step with-memory methods and their dynamics [Volume 12, Issue 3, 2024, Pages 599-609]
  • Basin of attraction A New Three-Step Optimal Without Memory Iterative Scheme for Solving Non-Linear Equations with Basins of Attraction [(Articles in Press)]
  • BBMB equation An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation [Volume 5, Issue 4, 2017, Pages 301-309]
  • BBM equation Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations [Volume 8, Issue 3, 2020, Pages 597-609]
  • Behrens-Fisher problem Statistical inference for Functional data: two sample Behrens-Fisher problem [Volume 7, Issue 4 (Special Issue), 2019, Pages 608-615]
  • Bellman’s optimality principle A Bernoulli Tau method for numerical solution of feedback Nash differential games with an error estimation [Volume 10, Issue 4, 2022, Pages 894-904]
  • Bell polynomials Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials [Volume 5, Issue 2, 2017, Pages 88-102]
  • Benjamin-Ono equations extensions On the new extensions to the Benjamin-Ono equation [Volume 8, Issue 3, 2020, Pages 424-445]
  • Berger metric Symmetries and conservation laws of the Berger metric on a squashed three-sphere [(Articles in Press)]
  • Bernoulli functions A numerical scheme for solving time-fractional Bessel differential equations [Volume 10, Issue 4, 2022, Pages 1097-1114]
  • Bernoulli operational matrix A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components [Volume 9, Issue 2, 2021, Pages 446-466]
  • Bernoulli Tau method A Bernoulli Tau method for numerical solution of feedback Nash differential games with an error estimation [Volume 10, Issue 4, 2022, Pages 894-904]
  • Bernoulli wavelets Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets [Volume 7, Issue 2, 2019, Pages 163-176]
  • Bernoulli wavelets Bernoulli wavelet method for numerical solutions of system of fuzzy integral equations [Volume 9, Issue 3, 2021, Pages 846-857]
  • Bernstein operational matrix A novel Bernstein operational matrix: applications for conformable fractional calculus [(Articles in Press)]
  • Bernstein polynomial Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials [Volume 1, Issue 2, 2013, Pages 78-95]
  • Bernstein polynomials Residual Method for Nonlinear System of Initial Value Problems [Volume 8, Issue 4, 2020, Pages 733-744]
  • Bernstein polynomials A new Bernstein-reproducing kernel method for solving forced Duffing equations with integral boundary conditions [Volume 12, Issue 2, 2024, Pages 329-337]
  • Bernstein technique Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]
  • Best approximating Solving Optimal Control Problems by using Hermite polynomials [Volume 8, Issue 2, 2020, Pages 314-329]
  • Best approximation Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials [Volume 3, Issue 3, 2015, Pages 177-191]
  • Beta-fractional derivative Dynamics of combined soliton solutions of unstable nonlinear fractional-order Schrödinger equation by beta-fractional derivative [Volume 10, Issue 2, 2022, Pages 549-566]
  • Bezier curves Improved residual method for approximating Bratu problem [Volume 11, Issue 3, 2023, Pages 535-547]
  • Bezier polynomials family Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials [Volume 3, Issue 3, 2015, Pages 177-191]
  • Bifurcation Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]
  • Bifurcation Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos [Volume 6, Issue 2, 2018, Pages 248-265]
  • Bifurcation A mathematical analysis of Zika virus transmission with optimal control strategies [Volume 9, Issue 1, 2021, Pages 117-145]
  • Bifurcation control Dynamics and bifurcation control of a fractional-order delayed predator–prey model with an omnivore [(Articles in Press)]
  • Bilinear Backlund transformations Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension [Volume 3, Issue 2, 2015, Pages 134-146]
  • Binary model FLOW OF GAS-CONDENSATE SYSTEM IN A TIME-DEPENDENT DEFORMABLE RESERVOIR WITH ROCK CREEP EFFECT IN THE WELL BOTTOMHOLE ZONE [(Articles in Press)]
  • Bioconvection Bioconvective Flow Surrounding a Thin Surgical Needle in Blood Incorporating Ternary Hybrid Nanoparticles [(Articles in Press)]
  • Biorthogonal cubic Hermite spline multiwavelets Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems [Volume 4, Issue 2, 2016, Pages 99-115]
  • Biorthogonal system Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • Biorthogonal wavelet On the wavelet Galerkin method for solving the fractional Fredholm integro-differential equations [(Articles in Press)]
  • BKE Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model [Volume 12, Issue 3, 2024, Pages 561-570]
  • Black-Scholes equation Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • Black Scholes formulas PDTM approach to solve Black Scholes equation for powered ML-Payoff function [Volume 10, Issue 2, 2022, Pages 320-326]
  • Black-Scholes inequality An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Black Scholes model An adaptive Monte Carlo algorithm for European and American options [Volume 10, Issue 2, 2022, Pages 489-501]
  • Black Scholes model A generalized adaptive Monte Carlo algorithm based on a two-step iterative method for linear systems and its application to option pricing [Volume 12, Issue 4, 2024, Pages 687-702]
  • Black-Scholes model Valuation of installment option by penalty method [Volume 3, Issue 4, 2015, Pages 298-310]
  • Black-Scholes models Exact solutions and numerical simulation for Bakstein-Howison model [Volume 10, Issue 2, 2022, Pages 461-474]
  • Black-Scholes PDE European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]
  • Blasius ‎equation‎‎ N‎umerical ‎q‎uasilinearization scheme ‎for the integral equation form of the Blasius equation [Volume 6, Issue 2, 2018, Pages 141-156]
  • Block methods Application of the block backward differential formula for numerical solution of Volterra integro-differential equations [Volume 3, Issue 2, 2015, Pages 99-100]
  • Block-pulse wavelet Numerical analysis of fractional differential equation by TSI-wavelet method [Volume 9, Issue 3, 2021, Pages 659-669]
  • Block tridiagonal system Two-Dimensional Nonlinear Schrödinger Equation Using an Alternating Direction Implicit Method [(Articles in Press)]
  • Blow-up Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay [Volume 9, Issue 2, 2021, Pages 623-636]
  • Bogdanov-Takens bifurcation Dynamics of a predator-prey system with prey refuge [Volume 7, Issue 3, 2019, Pages 454-474]
  • Bogdanov-Takens bifurcation Global dynamics and numerical bifurcation of a bioeconomic system [Volume 9, Issue 2, 2021, Pages 427-445]
  • Boundary formula Application of spline to approximate the solution of singularly perturbed boundary-value problems [Volume 8, Issue 2, 2020, Pages 373-388]
  • Boundary laye Accurate splitting approach to characterize the solution set of boundary layer problems [Volume 7, Issue 2, 2019, Pages 206-223]
  • Boundary layer A method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers [Volume 6, Issue 3, 2018, Pages 295-311]
  • Boundary layer A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems involving mixed space shifts [Volume 11, Issue 1, 2023, Pages 42-51]
  • Boundary layers New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [(Articles in Press)]
  • Boundary value method Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]
  • Boundary value problem Existence and uniqueness of positive and nondecreasing solution for nonlocal fractional boundary value problem [Volume 3, Issue 2, 2015, Pages 123-133]
  • Boundary value problem Existence of positive solution to a class of boundary value problems of fractional differential equations [Volume 4, Issue 1, 2016, Pages 19-29]
  • Boundary value problem Numerical solution of variational problems via Haar wavelet quasilinearization technique [Volume 4, Issue 3, 2016, Pages 249-260]
  • Boundary value problem Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]
  • Boundary value problem Accurate splitting approach to characterize the solution set of boundary layer problems [Volume 7, Issue 2, 2019, Pages 206-223]
  • Boundary value problem Second order boundary value problems of nonsingular type on time scales [Volume 9, Issue 4, 2021, Pages 1214-1222]
  • Boundary value problem A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions [Volume 11, Issue 2, 2023, Pages 241-253]
  • Boundary value problem To study existence of unique solution and numerically solving for a kind of three-point boundary fractional high-order problem subject to Robin condition [Volume 11, Issue 2, 2023, Pages 332-344]
  • Boundary value problem Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method [Volume 11, Issue 3, 2023, Pages 643-663]
  • Boundary value problem Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem [Volume 12, Issue 4, 2024, Pages 741-748]
  • Boundary value problem The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Boundary value problem A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]
  • Boundary value problem Quintic B-Spline Method for Numerical Solution of Second Order Singularly Perturbed Delay Differential Equations [(Articles in Press)]
  • Boundary value problem(BVP) Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem [Volume 9, Issue 4, 2021, Pages 1042-1058]
  • Boundary value problems Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations [Volume 5, Issue 2, 2017, Pages 158-169]
  • Boundary value problems Study of new monotone iterative technique for a class of arbitrary order differential equations [Volume 8, Issue 4, 2020, Pages 639-647]
  • Boundary value problems Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]
  • Boundary value problems Numerical analysis of fluid flow behaviour in two sided deep lid driven cavity using the finite volume technique [Volume 10, Issue 4, 2022, Pages 986-1006]
  • Boundary value problems Modified Lucas polynomials for the numerical treatment of second-order boundary value problems [Volume 11, Issue 1, 2023, Pages 12-31]
  • Boundary value problems Non-polynomial cubic spline method for solution of higher order boundary value problems [Volume 11, Issue 2, 2023, Pages 225-240]
  • Boundary value problems EFFICIENT NUMERICAL SOLUTION OF SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS ByYDOUBLE EXPONENTIAL NON-CLASSICAL SINC-COLLOCATION METHOD [(Articles in Press)]
  • Boundary value problems of fractional order Numerical solution for boundary value problem of fractional order with approximate Integral and derivative [Volume 2, Issue 3, 2014, Pages 195-204]
  • Bounds Bounds of Riemann-Liouville fractional integral operators [Volume 9, Issue 2, 2021, Pages 637-648]
  • Boussinesq Solitary waves with two new nonlocal boussinesq types equations using a couple of integration schemes [Volume 12, Issue 4, 2024, Pages 749-762]
  • Boussinesq equation Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
  • Bratu differential equation Spectral Collocation Algorithm for the Fractional Bratu Equation via Hexic Shifted Chebyshev Polynomials [(Articles in Press)]
  • Bratu equations Modified Lucas polynomials for the numerical treatment of second-order boundary value problems [Volume 11, Issue 1, 2023, Pages 12-31]
  • Bratu Problem Improved residual method for approximating Bratu problem [Volume 11, Issue 3, 2023, Pages 535-547]
  • Bratu's problem Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem [Volume 7, Issue 4 (Special Issue), 2019, Pages 580-588]
  • Brenstien polynomials,Coupled system Brenstien polynomials and its application to fractional differential equation [Volume 3, Issue 1, 2015, Pages 14-35]
  • Broadcast receiver Short message service remotely mobile device control [Volume 7, Issue 4 (Special Issue), 2019, Pages 545-565]
  • Broer-Kaup equations Solitary Wave solutions of the BK equation and ALWW system by using the first integral method [Volume 1, Issue 2, 2013, Pages 146-157]
  • Broer-Kaup equations Explicit exact solutions for variable coefficient Broer-Kaup equations [Volume 3, Issue 3, 2015, Pages 192-199]
  • Brownian Motion A wavelet method for stochastic Volterra integral equations and its application to general stock model [Volume 5, Issue 2, 2017, Pages 170-188]
  • Brownian Motion A numerical technique for solving nonlinear fractional stochastic integro-differential equations with n-dimensional Wiener process [Volume 10, Issue 1, 2022, Pages 61-76]
  • Brusselator model Numerical investigation based on a local meshless radial point interpolation for solving coupled nonlinear reaction-diffusion system [Volume 9, Issue 2, 2021, Pages 358-374]
  • B-Spline Application of cubic B-spline collocation method for reaction diffusion Fisher's equation [Volume 9, Issue 1, 2021, Pages 22-35]
  • B-Spline A new application for numerical computations of the modified equal width equation (MEW) based on Lumped Galerkin method with the cubic B-spline [Volume 11, Issue 1, 2023, Pages 95-107]
  • B-spline collocation Parameter-uniform robust scheme for singularly perturbed parabolic convection-diffusion problems with large time-lag [Volume 10, Issue 4, 2022, Pages 954-968]
  • B-spline function Development of non polynomial spline and New B-spline with application to solution of Klein-Gordon equation [Volume 8, Issue 4, 2020, Pages 794-814]
  • B-splines A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation [Volume 12, Issue 3, 2024, Pages 544-560]
  • B-splines collocation method Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem [(Articles in Press)]
  • Buckmaster equation‎ Self-adjointness‎, ‎conservation laws and invariant solutions of the Buckmaster equation [Volume 8, Issue 1, 2020, Pages 85-98]
  • Buoyancy effect MATHEMATICAL STUDY ON INFINITE BOUNDARY VALUE PROBLEM FOR MHD FLOW OF A MICROPOLAR NANOFLUID [(Articles in Press)]
  • Burger’s Non-polynomial Spline Method for Solving Coupled Burgers Equations [Volume 3, Issue 3, 2015, Pages 218-230]
  • Burgers equation Applications of the Newton-Raphson method in a SDFEM for inviscid Burgers equation [Volume 8, Issue 4, 2020, Pages 708-732]
  • Burgers equation Obtaining soliton solutions of equations combined with the Burgers and equal width wave equations using a novel method [Volume 10, Issue 3, 2022, Pages 826-836]
  • Burgers’ Equation Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme [Volume 12, Issue 3, 2024, Pages 425-437]
  • Burgers-Fisher's equation Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem [(Articles in Press)]
  • BVP Solution of Troesch's problem through double exponential Sinc-Galerkin method [Volume 5, Issue 2, 2017, Pages 141-157]

C

  • CADNA library The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • Caffarelli-Kohn-Nirenberg inequalities Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities [Volume 9, Issue 2, 2021, Pages 589-603]
  • Calculus of variation An analytic study on the Euler-Lagrange equation arising in calculus of variations [Volume 2, Issue 3, 2014, Pages 140-152]
  • Calculus of variation Numerical solution of variational problems via Haar wavelet quasilinearization technique [Volume 4, Issue 3, 2016, Pages 249-260]
  • Calderon-Zygmund theory THE BEHAVIOUR OF SOLUTIONS BOUNDARY PROBLEM TO NONLINEAR ELLIPTIC EQUATIONS [(Articles in Press)]
  • Calogero–Bogoyavlenskii–Schiff equation Multi-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation [Volume 7, Issue 1, 2019, Pages 86-95]
  • Caputo and Rieman-Liouville fractional derivative and integral A numerical scheme for solving time-fractional Bessel differential equations [Volume 10, Issue 4, 2022, Pages 1097-1114]
  • Caputo and Riemann–Liouville fractional derivative An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Caputo derivative Analytical solutions for the fractional Klein-Gordon equation [Volume 2, Issue 2, 2014, Pages 99-114]
  • Caputo derivative Sinc operational matrix method for solving the Bagley-Torvik equation [Volume 5, Issue 1, 2017, Pages 56-66]
  • Caputo derivative Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions [Volume 5, Issue 2, 2017, Pages 117-140]
  • Caputo derivative A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells [Volume 6, Issue 3, 2018, Pages 353-371]
  • Caputo derivative Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets [Volume 7, Issue 2, 2019, Pages 163-176]
  • Caputo derivative On a novel modification of the Legendre collocation method for solving fractional diffusion equation [Volume 7, Issue 3, 2019, Pages 480-496]
  • Caputo derivative The solving integro-differential equations of fractional order with the ultraspherical functions [Volume 8, Issue 1, 2020, Pages 205-211]
  • Caputo derivative Exact solutions and numerical simulations of time-fractional Fokker-Plank equation for special stochastic process [Volume 9, Issue 1, 2021, Pages 258-272]
  • Caputo derivative Collocation method based on Chebyshev polynomials for solving distributed order fractional differential equations [Volume 9, Issue 3, 2021, Pages 858-873]
  • Caputo derivative Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials [Volume 10, Issue 2, 2022, Pages 431-444]
  • Caputo derivative Numerical solution for solving fractional parabolic partial differential equations [Volume 10, Issue 1, 2022, Pages 121-143]
  • Caputo derivative Analysis of non-hyperbolic equilibria for Caputo fractional system [Volume 10, Issue 2, 2022, Pages 298-306]
  • Caputo derivative A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials [Volume 10, Issue 3, 2022, Pages 755-773]
  • Caputo derivative A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]
  • Caputo derivative Existence and Uniqueness Theorems for Fractional Differential Equations with Proportional Delay [(Articles in Press)]
  • Caputo-derivative Solution of time-fractional equations via Sumudu-Adomian decomposition method [Volume 11, Issue 2, 2023, Pages 345-356]
  • Caputo differential operator Solving Abel’s equations with the shifted Legendre polynomials [Volume 11, Issue 4, 2023, Pages 865-875]
  • Caputo-Fabrizio derivative COMPACT FINITE DIFFERENCE SCHEME FOR NUMERICAL SOLUTION OF CAPUTO-FABRIZIO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS [(Articles in Press)]
  • Caputo-Fabrizio fractional derivative Interval fractional integrodifferential equations without singular kernel by fixed point in partially ordered sets [Volume 5, Issue 1, 2017, Pages 12-29]
  • Caputo-Fabrizio fractional derivative A new numerical fractional differentiation formula to approximate the Caputo-Fabrizio fractional derivative: error analysis and stability [Volume 10, Issue 1, 2022, Pages 12-27]
  • Caputo Fabrizio Fractional Derivative Modeling and Simulation of COVID-19 Disease Dynamics via Caputo Fabrizio Fractional Derivative [(Articles in Press)]
  • Caputo-Fabrizio operator Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations [Volume 11, Issue 3, 2023, Pages 440-463]
  • Caputo factional derivative Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem [Volume 9, Issue 4, 2021, Pages 1042-1058]
  • Caputo fractional derivative Numerical solution for boundary value problem of fractional order with approximate Integral and derivative [Volume 2, Issue 3, 2014, Pages 195-204]
  • Caputo fractional derivative Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems [Volume 4, Issue 2, 2016, Pages 99-115]
  • Caputo fractional derivative Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs [Volume 5, Issue 3, 2017, Pages 246-255]
  • Caputo fractional derivative An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order [Volume 6, Issue 3, 2018, Pages 339-352]
  • Caputo fractional derivative On using topological degree theory to investigate a coupled system of non linear hybrid differential equations [Volume 7, Issue 2, 2019, Pages 224-234]
  • Caputo fractional derivative Linear fractional fuzzy differential equations with Caputo derivative [Volume 7, Issue 2, 2019, Pages 252-265]
  • Caputo fractional derivative Asymptotic decomposition method for fractional order Riccati differential equation [Volume 9, Issue 1, 2021, Pages 63-78]
  • Caputo fractional derivative On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions [Volume 9, Issue 1, 2021, Pages 36-51]
  • Caputo fractional derivative Solving fractional optimal control problems using Genocchi polynomials [Volume 9, Issue 1, 2021, Pages 79-93]
  • Caputo fractional derivative Conformable double Laplace transform method for solving conformable fractional partial differential equations [Volume 9, Issue 3, 2021, Pages 908-918]
  • Caputo fractional derivative Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative [Volume 10, Issue 1, 2022, Pages 200-214]
  • Caputo fractional derivative Extremal solutions for multi-term nonlinear fractional differential equations with nonlinear boundary conditions [Volume 11, Issue 1, 2023, Pages 32-41]
  • Caputo fractional derivative On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems [Volume 11, Issue 4, 2023, Pages 811-821]
  • Caputo fractional derivative To study existence of unique solution and numerically solving for a kind of three-point boundary fractional high-order problem subject to Robin condition [Volume 11, Issue 2, 2023, Pages 332-344]
  • Caputo fractional derivative Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions [Volume 12, Issue 3, 2024, Pages 438-453]
  • Caputo fractional derivative Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type [Volume 12, Issue 4, 2024, Pages 638-650]
  • Caputo fractional derivative SEMI-ANALYTICAL SOLUTIONS FOR TIME-FRACTIONAL CAUCHY REACTION -DIFFUSION EQUATIONS VIA NEW ELZAKI TRASFORM ITERATIVE METHOD [(Articles in Press)]
  • Caputo fractional derivative A Mathematical Analysis of Non-linear Smoking Model via Fractional Operators [(Articles in Press)]
  • Caputo-Prabhakar fractional derivative A numerical approach for solving Caputo-Prabhakar distributed-order time-fractional partial differential equation [Volume 12, Issue 3, 2024, Pages 571-584]
  • Caputo’s derivative A numerical technique for solving nonlinear fractional stochastic integro-differential equations with n-dimensional Wiener process [Volume 10, Issue 1, 2022, Pages 61-76]
  • Caputo's fractional derivative Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems [Volume 2, Issue 1, 2014, Pages 56-61]
  • Caputo's fractional derivative Two-dimensional temporal fractional advection-diffusion problem resolved through the Sinc-Galerkin method [(Articles in Press)]
  • Caratheodory map Existence of solution for nonlinear integral inclusions [Volume 10, Issue 1, 2022, Pages 215-224]
  • Carbon dioxide The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Carbon substrate Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Cauchy problem Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations [Volume 8, Issue 1, 2020, Pages 212-221]
  • Cauchy reaction-diffusion equations SEMI-ANALYTICAL SOLUTIONS FOR TIME-FRACTIONAL CAUCHY REACTION -DIFFUSION EQUATIONS VIA NEW ELZAKI TRASFORM ITERATIVE METHOD [(Articles in Press)]
  • Cauchy type The Legendre Wavelet Method for Solving Singular Integro-differential Equations [Volume 2, Issue 2, 2014, Pages 62-68]
  • Cauchy-type problem Qualitative analysis of fractional differential equations with ψ-Hilfer fractional derivative [Volume 10, Issue 1, 2022, Pages 1-11]
  • Center manifold Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]
  • Center manifold Analysis of non-hyperbolic equilibria for Caputo fractional system [Volume 10, Issue 2, 2022, Pages 298-306]
  • Central finite method A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]
  • CESTAC method The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • CEV model A compact difference scheme for time-fractional Black-Scholes equation with time-dependent parameters under the CEV model: American options [Volume 9, Issue 2, 2021, Pages 523-552]
  • CFL condition On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations [Volume 13, Issue 1, 2025, Pages 95-106]
  • Chaos theory An interval chaos insight to iterative decomposition method for Rossler differential equation by considering stable uncertain coefficients [Volume 10, Issue 4, 2022, Pages 1115-1122]
  • Chaotic Hopf Bifurcation and Chaotic Attractors in Two Special Jerk System Cases [(Articles in Press)]
  • Chaotic System Optimal fractional order PID controller performance in chaotic system of HIV disease: particle swarm and genetic algorithms optimization method [Volume 11, Issue 2, 2023, Pages 207-224]
  • Chaotic systems Optimal control of satellite attitude and its stability based on quaternion parameters [Volume 10, Issue 1, 2022, Pages 168-178]
  • Chaotic systems An interval chaos insight to iterative decomposition method for Rossler differential equation by considering stable uncertain coefficients [Volume 10, Issue 4, 2022, Pages 1115-1122]
  • Characteristics method ‎ Exact solutions of a linear fractional partial differential equation via characteristics method [Volume 6, Issue 1, 2018, Pages 12-18]
  • Characterization theorem Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure [Volume 9, Issue 4, 2021, Pages 919-939]
  • Chebyshev cardinal functions An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order [Volume 6, Issue 3, 2018, Pages 339-352]
  • Chebyshev cardinal wavelets An efficient numerical approach for solving nonlinear Volterra integral equations [Volume 11, Issue 3, 2023, Pages 615-629]
  • Chebyshev finite difference method Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Chebyshev-Gauss-Lobbato points An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations [Volume 6, Issue 3, 2018, Pages 280-294]
  • Chebyshev polynomial A novel technique for a class of singular boundary value problems [Volume 6, Issue 1, 2018, Pages 40-52]
  • Chebyshev polynomials A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations [Volume 1, Issue 2, 2013, Pages 96-107]
  • Chebyshev polynomials The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications [Volume 5, Issue 1, 2017, Pages 67-87]
  • Chebyshev polynomials Collocation method based on Chebyshev polynomials for solving distributed order fractional differential equations [Volume 9, Issue 3, 2021, Pages 858-873]
  • Chebyshev polynomials An efficient approximate solution of Riesz fractional advection-diffusion equation [Volume 10, Issue 2, 2022, Pages 307-319]
  • Chebyshev polynomials Spectral Collocation Algorithm for the Fractional Bratu Equation via Hexic Shifted Chebyshev Polynomials [(Articles in Press)]
  • Chebyshev property An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system [Volume 6, Issue 4, 2018, Pages 438-447]
  • Chebyshev pseudo-spectral method A Chebyshev pseudo-spectral based approach for solving Troesch’s problem with convergence analysis [Volume 12, Issue 4, 2024, Pages 827-841]
  • Chebyshev spectral collocation method Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation [Volume 1, Issue 1, 2013, Pages 16-29]
  • Chebyshev spectral collocation method Error analysis and Kronecker implementation of Chebyshev spectral collocation method for solving linear PDEs [Volume 10, Issue 4, 2022, Pages 914-927]
  • Chebyshev systems Solving singular integral equations by using orthogonal polynomials [Volume 6, Issue 4, 2018, Pages 411-425]
  • Chebyshev wavelets An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Chest X-ray A U-Net Framework Using Differential Equations for Enhanced Computer Vision in Lung Disease Diagnosis [(Articles in Press)]
  • Christov functions Numerical solution of Troesch's problem using Christov rational functions [Volume 3, Issue 4, 2015, Pages 247-257]
  • Circular cylindrical conduit A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials [Volume 5, Issue 4, 2017, Pages 280-300]
  • Classical fixed point theorem Existence of positive solution to a class of boundary value problems of fractional differential equations [Volume 4, Issue 1, 2016, Pages 19-29]
  • Clique polynomial A study on homotopy analysis method and clique polynomial method [Volume 10, Issue 3, 2022, Pages 774-788]
  • Closed-form solution A Finite Difference Approach to Solve the Nonlinear Model of Electro-Osmotic Flow in Nano-Channels [(Articles in Press)]
  • Coefficient inverse problem Inverse coefficient problem in hyperbolic partial differential equations: An analytical and computational exploration [Volume 12, Issue 2, 2024, Pages 304-313]
  • Collocation Numerical solution of Troesch's problem using Christov rational functions [Volume 3, Issue 4, 2015, Pages 247-257]
  • Collocation A numerical study using finite element method for generalized Rosenau-Kawahara-RLW equation [Volume 7, Issue 3, 2019, Pages 319-333]
  • Collocation On a novel modification of the Legendre collocation method for solving fractional diffusion equation [Volume 7, Issue 3, 2019, Pages 480-496]
  • Collocation Application of cubic B-spline collocation method for reaction diffusion Fisher's equation [Volume 9, Issue 1, 2021, Pages 22-35]
  • Collocation An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation [Volume 9, Issue 4, 2021, Pages 1109-1127]
  • Collocation method Solving high-order partial differential equations in unbounded domains by means of double exponential second kind Chebyshev approximation [Volume 3, Issue 3, 2015, Pages 147-162]
  • Collocation method A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations [Volume 3, Issue 4, 2015, Pages 284-297]
  • Collocation method Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation [Volume 4, Issue 3, 2016, Pages 191-204]
  • Collocation method Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials [Volume 5, Issue 2, 2017, Pages 88-102]
  • Collocation method Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions [Volume 5, Issue 2, 2017, Pages 117-140]
  • Collocation method An improved collocation method based on deviation of the error for solving BBMB equation [Volume 6, Issue 2, 2018, Pages 238-247]
  • Collocation method Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]
  • Collocation method Hermite wavelets method for the numerical solution of linear and nonlinear singular initial and boundary value problems [Volume 7, Issue 2, 2019, Pages 177-198]
  • Collocation method Spectral solution of fractional fourth order partial integro-differential equations [Volume 7, Issue 2, 2019, Pages 289-301]
  • Collocation method Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem [Volume 7, Issue 3, 2019, Pages 434-453]
  • Collocation method Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]
  • Collocation method Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation [Volume 8, Issue 2, 2020, Pages 347-363]
  • Collocation method A Laguerre approach for solving of the systems of linear differential equations and residual improvement [Volume 9, Issue 2, 2021, Pages 553-576]
  • Collocation method Collocation method based on Chebyshev polynomials for solving distributed order fractional differential equations [Volume 9, Issue 3, 2021, Pages 858-873]
  • Collocation method Laguerre collocation method for solving Lane-Emden type equations [Volume 9, Issue 4, 2021, Pages 1176-1197]
  • Collocation method An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic B-spline functions [Volume 9, Issue 4, 2021, Pages 1198-1213]
  • Collocation method Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation [Volume 10, Issue 1, 2022, Pages 28-43]
  • Collocation method Studying the thermal analysis of rectangular cross section porous fin: A numerical approach [Volume 10, Issue 2, 2022, Pages 338-350]
  • Collocation method Shifted Jacobi collocation method for Volterra-Fredholm integral equation [Volume 10, Issue 2, 2022, Pages 408-418]
  • Collocation method Approximate price of the option under discretization by applying fractional quadratic interpolation [Volume 10, Issue 4, 2022, Pages 1075-1085]
  • Collocation method A novel perspective for simulations of the MEW equation by trigonometric cubic B-spline collocation method based on Rubin-Graves type linearization [Volume 10, Issue 4, 2022, Pages 1046-1058]
  • Collocation method Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method [Volume 11, Issue 1, 2023, Pages 81-94]
  • Collocation method A new application for numerical computations of the modified equal width equation (MEW) based on Lumped Galerkin method with the cubic B-spline [Volume 11, Issue 1, 2023, Pages 95-107]
  • Collocation method Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations [Volume 11, Issue 3, 2023, Pages 589-604]
  • Collocation method Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • Collocation method The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Collocation method A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation [Volume 12, Issue 3, 2024, Pages 544-560]
  • Collocation method Spectral Collocation Algorithm for the Fractional Bratu Equation via Hexic Shifted Chebyshev Polynomials [(Articles in Press)]
  • Collocation method Analyzing MHD boundary layer flow of Rivlin Ericksen fluid over a stretching sheet by applying Taylor Wavelet Approach [(Articles in Press)]
  • Collocation method An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [(Articles in Press)]
  • Collocation methods Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]
  • Collocation points A novel hybrid method for solving combined functional neutral differential equations with several delays and investigation of convergence rate via residual function [Volume 7, Issue 3, 2019, Pages 396-417]
  • Collocation points A Laguerre approach for solving of the systems of linear differential equations and residual improvement [Volume 9, Issue 2, 2021, Pages 553-576]
  • Collocation points Optimal control of Volterra integro-differential equations based on interpolation polynomials and collocation method [Volume 11, Issue 1, 2023, Pages 52-64]
  • Colored noise Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • Combined Hirota-Lakshmanan-Porsezian-Daniel equation Exact solutions of the combined Hirota-LPD equation with variable coefficients [Volume 9, Issue 1, 2021, Pages 94-116]
  • Common fixed point problem Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems [Volume 10, Issue 3, 2022, Pages 639-655]
  • Compact difference scheme A compact difference scheme for time-fractional Black-Scholes equation with time-dependent parameters under the CEV model: American options [Volume 9, Issue 2, 2021, Pages 523-552]
  • Compact discretization Infinitely smooth multiquadric RBFs combined high-resolution compact discretization for nonlinear 2D elliptic PDEs on a scattered grid network [Volume 11, Issue 4, 2023, Pages 753-775]
  • Compact finite difference A Computational Method for Solving the Lane-Emden Initial Value Problems [Volume 8, Issue 4, 2020, Pages 673-684]
  • Compact finite difference Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation [Volume 8, Issue 2, 2020, Pages 347-363]
  • Compact finite difference A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation [(Articles in Press)]
  • Compact finite difference formula A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]
  • Compact finite difference method An efficient high-order compact finite difference method for the Helmholtz equation [Volume 8, Issue 3, 2020, Pages 553-563]
  • Compact finite difference method COMPACT FINITE DIFFERENCE SCHEME FOR NUMERICAL SOLUTION OF CAPUTO-FABRIZIO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS [(Articles in Press)]
  • Compact finite difference scheme An efficient high-order compact finite difference scheme for Lane-Emden-type equations [Volume 13, Issue 1, 2025, Pages 107-122]
  • Compact method Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]
  • Compacton Approximate analytic compacton solutions of the K(p, p) equation by reduced differential transform method [Volume 8, Issue 4, 2020, Pages 827-839]
  • Compatibility method Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation [Volume 9, Issue 1, 2021, Pages 300-312]
  • Complete graph A study on homotopy analysis method and clique polynomial method [Volume 10, Issue 3, 2022, Pages 774-788]
  • Complex inversion formula L2-transforms for boundary value problems [Volume 6, Issue 2, 2018, Pages 176-185]
  • Complex matrices On the solving of matrix equation of Sylvester type [Volume 7, Issue 1, 2019, Pages 96-104]
  • Complex mixed-dark and bright solitons Complex Wave Surfaces to the Extended Shallow Water Wave Model with (2+1)-dimensional [Volume 8, Issue 3, 2020, Pages 585-596]
  • Complex network analysis Using AHP to complex network analysis tools selection [Volume 7, Issue 4 (Special Issue), 2019, Pages 635-645]
  • Complex network tools Using AHP to complex network analysis tools selection [Volume 7, Issue 4 (Special Issue), 2019, Pages 635-645]
  • Complex nonlinear wave equations The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations [Volume 2, Issue 4, 2014, Pages 216-226]
  • Compressibility Mathematical modeling of a nonlinear two-phase flow in a porous medium and the inflow of volatile oil to a well taking into account inertial effects [Volume 11, Issue 4, 2023, Pages 664-675]
  • Conformable context Application of the invariant subspace method in conjunction with the fractional Sumudu’s transform to a nonlinear conformable time-fractional dispersive equation of the fifth order [Volume 7, Issue 3, 2019, Pages 359-369]
  • Conformable derivative An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrodinger equation with different laws of nonlinearity [Volume 10, Issue 3, 2022, Pages 701-715]
  • Conformable derivative The generalized conformable derivative for 4α-order Sturm-Liouville problems [Volume 10, Issue 3, 2022, Pages 816-825]
  • Conformable derivative Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation [Volume 11, Issue 3, 2023, Pages 564-575]
  • Conformable derivative An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem [Volume 12, Issue 3, 2024, Pages 471-483]
  • Conformable derivative Generalized Solutions for Conformable Schrödinger Equations with Singular Potentials [(Articles in Press)]
  • Conformable fractional Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]
  • Conformable fractional derivative Neumann method for solving conformable fractional Volterra integral equations [Volume 8, Issue 1, 2020, Pages 54-68]
  • Conformable fractional derivative Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations [Volume 12, Issue 2, 2024, Pages 413-424]
  • Conformable fractional derivative (CFD) Conformable double Laplace transform method for solving conformable fractional partial differential equations [Volume 9, Issue 3, 2021, Pages 908-918]
  • Conformable fractional differential equations New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform [Volume 10, Issue 2, 2022, Pages 396-407]
  • Conformable fractional integral and derivative A novel Bernstein operational matrix: applications for conformable fractional calculus [(Articles in Press)]
  • Conformable schrödinger equation Generalized Solutions for Conformable Schrödinger Equations with Singular Potentials [(Articles in Press)]
  • Conformable semigroup Generalized Solutions for Conformable Schrödinger Equations with Singular Potentials [(Articles in Press)]
  • Conic nonlinear systems LQR Technique Based SMC Design for a Class of Uncertain Time-delay Conic Nonlinear Systems [(Articles in Press)]
  • Conservation law A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws [Volume 2, Issue 2, 2014, Pages 91-98]
  • Conservation laws Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • Conservation laws Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation [Volume 9, Issue 1, 2021, Pages 300-312]
  • Conservation laws Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation [Volume 10, Issue 3, 2022, Pages 608-616]
  • Conservation laws Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation [Volume 11, Issue 2, 2023, Pages 399-411]
  • Conservation laws On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation [(Articles in Press)]
  • Conservation laws‎ Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation [Volume 7, Issue 1, 2019, Pages 54-68]
  • Conserved vector fields Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times [Volume 13, Issue 1, 2025, Pages 249-257]
  • Consistency The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Constant matrix coefficients Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations [Volume 8, Issue 1, 2020, Pages 212-221]
  • Constrained differential equations Shortest Path Problem With Ordinary Differential Equations Constrained [Volume 8, Issue 4, 2020, Pages 661-672]
  • Constraint qualification Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints [Volume 9, Issue 2, 2021, Pages 347-357]
  • Contaminant transport Contaminant transportation modeling with time dependent dispersion [Volume 11, Issue 3, 2023, Pages 605-614]
  • Continuous A numerical approach for solving the Fractal ordinary differential equations [Volume 12, Issue 4, 2024, Pages 780-790]
  • Continuous and discrete time optimization A Chebyshev pseudo-spectral based approach for solving Troesch’s problem with convergence analysis [Volume 12, Issue 4, 2024, Pages 827-841]
  • Continuous dependence Qualitative analysis of fractional differential equations with ψ-Hilfer fractional derivative [Volume 10, Issue 1, 2022, Pages 1-11]
  • Continuous time optimization problem A novel technique for a class of singular boundary value problems [Volume 6, Issue 1, 2018, Pages 40-52]
  • Contraction operator A new iteration method for solving a class of Hammerstein type integral equations system [Volume 3, Issue 4, 2015, Pages 231-246]
  • Contraction theory Synchronization a chaotic system with Quadratic terms using the contraction Method [Volume 12, Issue 2, 2024, Pages 361-373]
  • Control Sensitivity analytic and synchronization of a new fractional-order financial system [Volume 9, Issue 3, 2021, Pages 788-798]
  • Controllability Approximate distributed controllability of nonlocal Rayleigh beam [Volume 9, Issue 1, 2021, Pages 180-186]
  • Controllability Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative [Volume 10, Issue 1, 2022, Pages 200-214]
  • Controller design Stabilization of linear systems of delay differential equations by the delayed feedback method [Volume 7, Issue 2, 2019, Pages 302-318]
  • Control measure Modelling the transmission of Mpox with case study in Nigeria and Democratic Republic of the Congo (DRC) [(Articles in Press)]
  • Control parameterization An efficient numerical solution for time switching optimal control problems [Volume 9, Issue 1, 2021, Pages 225-243]
  • Convection-diffusion equation Numerical solution of Convection-Diffusion equations with memory term based on sinc method [Volume 6, Issue 3, 2018, Pages 380-395]
  • Convergence Regularization of a nonlinear inverse problem by discrete mollification‎ ‎method [Volume 9, Issue 1, 2021, Pages 313-326]
  • Convergence The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Convergence A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components [Volume 9, Issue 2, 2021, Pages 446-466]
  • Convergence On the numerical treatment and analysis of Hammerstein integral equation [Volume 9, Issue 2, 2021, Pages 493-510]
  • Convergence Mean-square stability of a constructed Third-order stochastic Runge–Kutta schemes for general stochastic differential equations [Volume 10, Issue 3, 2022, Pages 617-638]
  • Convergence Linear B-spline finite element Method for solving delay reaction diffusion equation [Volume 11, Issue 1, 2023, Pages 161-174]
  • Convergence A pseudospectral Sinc method for numerical investigation of the nonlinear time-fractional Klein-Gordon and sine-Gordon equations [Volume 11, Issue 2, 2023, Pages 357-368]
  • Convergence Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method [Volume 11, Issue 3, 2023, Pages 643-663]
  • Convergence A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach [Volume 11, Issue 4, 2023, Pages 716-726]
  • Convergence An accurate finite-difference scheme for the numerical solution of a fractional differential equation [(Articles in Press)]
  • Convergence Quintic B-Spline Method for Numerical Solution of Second Order Singularly Perturbed Delay Differential Equations [(Articles in Press)]
  • Convergence EFFICIENT NUMERICAL SOLUTION OF SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS ByYDOUBLE EXPONENTIAL NON-CLASSICAL SINC-COLLOCATION METHOD [(Articles in Press)]
  • Convergence analysis An approach based on statistical spline model for Volterra-Fredholm integral equations [Volume 4, Issue 1, 2016, Pages 30-42]
  • Convergence analysis An efficient improvement of the Newton method for solving nonconvex optimization problems [Volume 7, Issue 1, 2019, Pages 69-85]
  • Convergence analysis Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem [Volume 7, Issue 3, 2019, Pages 434-453]
  • Convergence analysis Development of non polynomial spline and New B-spline with application to solution of Klein-Gordon equation [Volume 8, Issue 4, 2020, Pages 794-814]
  • Convergence analysis Application of spline to approximate the solution of singularly perturbed boundary-value problems [Volume 8, Issue 2, 2020, Pages 373-388]
  • Convergence analysis An efficient technique based on the HAM with Green's function for a class of nonlocal elliptic boundary value problems [Volume 9, Issue 3, 2021, Pages 722-735]
  • Convergence analysis An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic B-spline functions [Volume 9, Issue 4, 2021, Pages 1198-1213]
  • Convergence analysis Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems [Volume 10, Issue 4, 2022, Pages 942-953]
  • Convergence analysis A numerical scheme for solving time-fractional Bessel differential equations [Volume 10, Issue 4, 2022, Pages 1097-1114]
  • Convergence analysis Hybrid collocation method for some classes of second-kind nonlinear weakly singular integral equations [Volume 11, Issue 1, 2023, Pages 183-196]
  • Convergence analysis Modified Lucas polynomials for the numerical treatment of second-order boundary value problems [Volume 11, Issue 1, 2023, Pages 12-31]
  • Convergence analysis Non-polynomial cubic spline method for solution of higher order boundary value problems [Volume 11, Issue 2, 2023, Pages 225-240]
  • Convergence analysis Numerical methods for m-polar fuzzy initial value problems [Volume 11, Issue 3, 2023, Pages 412-439]
  • Convergence analysis A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Convergence analysis Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem [(Articles in Press)]
  • Convergence analysis Two-dimensional temporal fractional advection-diffusion problem resolved through the Sinc-Galerkin method [(Articles in Press)]
  • Convergence analysis On the wavelet Galerkin method for solving the fractional Fredholm integro-differential equations [(Articles in Press)]
  • Convergence analysis High-order numerical solution for a class of nonlinear Fredholm integro-differential equations [(Articles in Press)]
  • Convergence analysis Numerical solution of stochastic fractional integro-differential/ Itô-Volterra integral equations via fractional Genocchi wavelets [(Articles in Press)]
  • Convergence analysis Investigation of convergence analysis of stochastic Heston model with one singular point [(Articles in Press)]
  • Convergence and superconvergence Superconvergence analysis of multistep collocation method for delay functional integral equations [Volume 4, Issue 3, 2016, Pages 205-216]
  • Convex function Bounds of Riemann-Liouville fractional integral operators [Volume 9, Issue 2, 2021, Pages 637-648]
  • Convex function New midpoint type inequalities for generalized fractional integral [Volume 10, Issue 1, 2022, Pages 93-108]
  • Convolutional neural network Kurdish speaker identification based on one dimensional convolutional neural network [Volume 7, Issue 4 (Special Issue), 2019, Pages 566-572]
  • Convolutional neural network Some notions of $(sigma, au)-$amenability for unitization of Banach algebras [Volume 7, Issue 4 (Special Issue), 2019, Pages 573-579]
  • Convolutional neural network Convolutional neural network-based high capacity predictor estimation for reversible data embedding in cloud network [Volume 12, Issue 3, 2024, Pages 585-598]
  • Coronavirus Analysis of quarantine and liberate effects on viral infection using SEIR and Caputo $ lpha $-fractional-order model [(Articles in Press)]
  • Correction idea An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem [Volume 12, Issue 3, 2024, Pages 471-483]
  • Cost of transaction Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • Coupled Non-polynomial Spline Method for Solving Coupled Burgers Equations [Volume 3, Issue 3, 2015, Pages 218-230]
  • Coupled Burger’s equation A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation [Volume 11, Issue 1, 2023, Pages 130-142]
  • Coupled Burgers’ equation An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation [Volume 9, Issue 4, 2021, Pages 1109-1127]
  • Coupled Burgers’ equation An optimal B-spline collocation technique for numerical simulation of viscous coupled Burgers’ equation [Volume 10, Issue 4, 2022, Pages 1027-1045]
  • Coupled fractional differential systems Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]
  • Coupled higher-order numerical model Application of variation of parameter’s method for hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates [Volume 10, Issue 3, 2022, Pages 580-594]
  • Coupled system Iterative scheme to a coupled system of highly nonlinear fractional order differential equations [Volume 3, Issue 3, 2015, Pages 163-176]
  • Covid-19 A simulation study of the COVID-19 pandemic based on the Ornstein-Uhlenbeck processes [Volume 10, Issue 3, 2022, Pages 738-745]
  • Covid-19 Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative [Volume 12, Issue 3, 2024, Pages 454-470]
  • Covid-19 Modeling and Simulation of COVID-19 Disease Dynamics via Caputo Fabrizio Fractional Derivative [(Articles in Press)]
  • COVID-19 mathematical model A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]
  • Cox-Ingersoll and Ross model Numerical solution of stochastic models using spectral collocation method [Volume 11, Issue 3, 2023, Pages 630-642]
  • Crank Nicolson Linear B-spline finite element Method for solving delay reaction diffusion equation [Volume 11, Issue 1, 2023, Pages 161-174]
  • Crank Nicolson Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem [(Articles in Press)]
  • Crank-Nicolson method Finite volume element approximation for time dependent convection diffusion reaction equations with memory [Volume 9, Issue 4, 2021, Pages 977-1000]
  • Crank-Nicolson method Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation [Volume 10, Issue 1, 2022, Pages 28-43]
  • Crank-Nicolson scheme An optimal B-spline collocation technique for numerical simulation of viscous coupled Burgers’ equation [Volume 10, Issue 4, 2022, Pages 1027-1045]
  • Critical exponents Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities [Volume 9, Issue 2, 2021, Pages 589-603]
  • Critical point theory Multiple solutions for a fourth-order elliptic equation involving singularity [Volume 9, Issue 3, 2021, Pages 818-829]
  • Cross diffusion Steady state bifurcation in a cross diffusion prey-predator model [Volume 11, Issue 2, 2023, Pages 254-262]
  • Cross-diffusion Hopf bifurcation and Turing instability in a cross-diffusion prey-predator system with group defense behavior [Volume 13, Issue 1, 2025, Pages 294-306]
  • Cross product Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations [Volume 11, Issue 3, 2023, Pages 440-463]
  • Cross viscosity Study of the non-Newtonian behaviour of Reiner Rivlin relative to power law in arterial stenosis [Volume 10, Issue 4, 2022, Pages 928-941]
  • Cubic B-spline Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem [Volume 7, Issue 3, 2019, Pages 434-453]
  • Cubic B-spline New exact solutions and numerical approximations of the generalized KdV equation [Volume 9, Issue 3, 2021, Pages 670-691]
  • Cubic B-spline Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation [Volume 10, Issue 1, 2022, Pages 28-43]
  • Cubic B-splines Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel [Volume 7, Issue 3, 2019, Pages 497-510]
  • Cubic B-splines An optimal B-spline collocation technique for numerical simulation of viscous coupled Burgers’ equation [Volume 10, Issue 4, 2022, Pages 1027-1045]
  • Cubic C$^1$-spline Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]
  • Cubic spline Computational Approaches for Analyzing Fractional Impulsive Systems in Differential Equations [(Articles in Press)]
  • Cubic Spline in Tension FITTED MESH CUBIC SPLINE TENSION METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITION [(Articles in Press)]
  • Cusp bifurcations Global dynamics and numerical bifurcation of a bioeconomic system [Volume 9, Issue 2, 2021, Pages 427-445]
  • Cylindrically space-times Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times [Volume 13, Issue 1, 2025, Pages 249-257]

D

  • Darbo fixed point theorem $L^p$-existence of mild solutions of fractional differential equations in Banach space [Volume 7, Issue 1, 2019, Pages 105-116]
  • Darboux Lemma Isospectral sixth order Sturm-Liouville eigenvalue problems [Volume 8, Issue 4, 2020, Pages 762-769]
  • Darcy-Forchheimer nanofluid flow A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid [Volume 11, Issue 4, 2023, Pages 696-715]
  • Darcy’s model A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]
  • Daubechies wavelets ‎Solving brachistochrone problem via scaling functions of Daubechies wavelets [Volume 9, Issue 2, 2021, Pages 511-522]
  • Decoupled nonlinear Schr¨odinger’s equation On traveling wave solutions: the decoupled nonlinear Schrödinger equations with inter modal dispersion [Volume 9, Issue 1, 2021, Pages 52-62]
  • Deep learning A U-Net Framework Using Differential Equations for Enhanced Computer Vision in Lung Disease Diagnosis [(Articles in Press)]
  • Defect principle An improved collocation method based on deviation of the error for solving BBMB equation [Volume 6, Issue 2, 2018, Pages 238-247]
  • Deformation Mathematical modeling of a nonlinear two-phase flow in a porous medium and the inflow of volatile oil to a well taking into account inertial effects [Volume 11, Issue 4, 2023, Pages 664-675]
  • Delay differential equation Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials [Volume 1, Issue 2, 2013, Pages 78-95]
  • Delay differential equation Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Delay differential equation VIM-Pad´e technique for solving nonlinear and delay initial value problems [Volume 9, Issue 3, 2021, Pages 749-761]
  • Delay Differential Equations FITTED MESH CUBIC SPLINE TENSION METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITION [(Articles in Press)]
  • Delayed feedback method Stabilization of linear systems of delay differential equations by the delayed feedback method [Volume 7, Issue 2, 2019, Pages 302-318]
  • Delayed prey-predator system An Efficient Numerical Scheme for Solving A Competitive Lotka-Volterra System with Two Discrete Delays [(Articles in Press)]
  • Delay integral equations Superconvergence analysis of multistep collocation method for delay functional integral equations [Volume 4, Issue 3, 2016, Pages 205-216]
  • Delay integral equations Solving Ito integral equations with time delay via basis functions [Volume 8, Issue 2, 2020, Pages 268-281]
  • Delay parabolic differential equation A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability [Volume 10, Issue 2, 2022, Pages 475-488]
  • Delay reaction diffusion equation Linear B-spline finite element Method for solving delay reaction diffusion equation [Volume 11, Issue 1, 2023, Pages 161-174]
  • Delay Systems Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach [Volume 10, Issue 4, 2022, Pages 860-875]
  • Delay term Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay [Volume 9, Issue 2, 2021, Pages 623-636]
  • Dependent Components Solving some stochastic differential equation using Dirichlet distributions [Volume 9, Issue 2, 2021, Pages 393-398]
  • Depletion FLOW OF GAS-CONDENSATE SYSTEM IN A TIME-DEPENDENT DEFORMABLE RESERVOIR WITH ROCK CREEP EFFECT IN THE WELL BOTTOMHOLE ZONE [(Articles in Press)]
  • Derivative nonlinear Schr"{o}dinger’s equation Exact travelling wave solutions for some complex nonlinear partial differential equations [Volume 2, Issue 1, 2014, Pages 11-18]
  • Descriptor fractional discrete-time Partial eigenvalue assignment of descriptor fractional discrete-time linear systems by parametric state feedback [Volume 9, Issue 2, 2021, Pages 375-392]
  • Deviation of the error An improved collocation method based on deviation of the error for solving BBMB equation [Volume 6, Issue 2, 2018, Pages 238-247]
  • Dickson polynomials Optimal control of Volterra integro-differential equations based on interpolation polynomials and collocation method [Volume 11, Issue 1, 2023, Pages 52-64]
  • Difference equations The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • Difference equations HYERS-ULAM AND EXPONENTIAL STABILITIES OF AUTONOMOUS AND NON-AUTONOMOUS DIFFERENCE EQUATIONS [(Articles in Press)]
  • Difference equations On the resolvent operator of singular impulsive Hahn--Dirac system [(Articles in Press)]
  • Differential algebraic equations Analytical solution for descriptor system in partial differential equations [Volume 9, Issue 2, 2021, Pages 467-479]
  • Differential-difference equation A method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers [Volume 6, Issue 3, 2018, Pages 295-311]
  • Differential-difference equations The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • Differential equation The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • Differential equation On the existence of periodic solutions of third order delay differential equations [Volume 11, Issue 2, 2023, Pages 319-331]
  • Differential equations The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • Differential equations(DEs) Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem [Volume 9, Issue 4, 2021, Pages 1042-1058]
  • Differential games A Bernoulli Tau method for numerical solution of feedback Nash differential games with an error estimation [Volume 10, Issue 4, 2022, Pages 894-904]
  • Differential invariants Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • Differential invariants Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation [Volume 11, Issue 2, 2023, Pages 399-411]
  • Differential invariants A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types [Volume 11, Issue 4, 2023, Pages 803-810]
  • Differential quadrature method Simulations of transport in one dimension [Volume 5, Issue 3, 2017, Pages 189-200]
  • Differential quadrature method A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions [Volume 10, Issue 4, 2022, Pages 969-985]
  • Differential quadrature method Numerical solution of the hyperbolic telegraph equation using cubic B-spline-based differential quadrature of high accuracy [Volume 10, Issue 4, 2022, Pages 837-859]
  • Differential quadrature method Numerical solution of nonlinear Sine-Gordon equation using modified cubic B-spline-based differential quadrature method [Volume 11, Issue 2, 2023, Pages 369-386]
  • Differential quadrature method Numerical approximation of coupled Schr𝐨̈dinger equations via NUAH B-spline DQM [(Articles in Press)]
  • Differential systems Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Differential transformation method An analytic study on the Euler-Lagrange equation arising in calculus of variations [Volume 2, Issue 3, 2014, Pages 140-152]
  • Differential transformation method An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems [Volume 8, Issue 2, 2020, Pages 389-400]
  • Differential transformation method Mechanics of nanofluidic flow induced nonlinear vibrations of single and multi-walled branched nanotubes in a thermal-magnetic environment [(Articles in Press)]
  • Differential transform method An application of differential transform method for solving nonlinear optimal control problems [Volume 3, Issue 3, 2015, Pages 200-217]
  • Diffusion-Convection equation A numerical scheme for diffusion-convection equation with piecewise constant arguments [Volume 8, Issue 3, 2020, Pages 573-584]
  • Diffusion equation Exact solutions of diffusion equation on sphere [Volume 10, Issue 3, 2022, Pages 789-798]
  • Dimensionality reduction Using synthetic data and dimensionality reduction in high-dimensional classification via logistic regression [Volume 7, Issue 4 (Special Issue), 2019, Pages 626-634]
  • Dirac integrable system Unveiling traveling waves and solitons of dirac integrable system via homogenous balance and singular manifolds methods [Volume 13, Issue 1, 2025, Pages 61-72]
  • Direct method An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Direct rational exponential scheme Multi-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation [Volume 7, Issue 1, 2019, Pages 86-95]
  • Dirichlet and Neumann boundary Conditions An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions [Volume 4, Issue 4, 2016, Pages 323-334]
  • Discrete Comparison Principle An accurate finite-difference scheme for the numerical solution of a fractional differential equation [(Articles in Press)]
  • Discrete Galerkin method Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients [Volume 3, Issue 1, 2015, Pages 36-44]
  • Discrete mollification Regularization of a nonlinear inverse problem by discrete mollification‎ ‎method [Volume 9, Issue 1, 2021, Pages 313-326]
  • Discrete optimization problem A novel technique for a class of singular boundary value problems [Volume 6, Issue 1, 2018, Pages 40-52]
  • Discrete points A numerical approach for solving the Fractal ordinary differential equations [Volume 12, Issue 4, 2024, Pages 780-790]
  • Discrete-time Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]
  • Discretization Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos [Volume 6, Issue 2, 2018, Pages 248-265]
  • Discretization Numerical solution of fractional Riesz space telegraph equation [Volume 9, Issue 1, 2021, Pages 187-210]
  • Discretization matrix Numerical solution of the hyperbolic telegraph equation using cubic B-spline-based differential quadrature of high accuracy [Volume 10, Issue 4, 2022, Pages 837-859]
  • Distributed order Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations [Volume 1, Issue 2, 2013, Pages 120-134]
  • Distributed order Collocation method based on Chebyshev polynomials for solving distributed order fractional differential equations [Volume 9, Issue 3, 2021, Pages 858-873]
  • Distributed order A numerical approach for solving Caputo-Prabhakar distributed-order time-fractional partial differential equation [Volume 12, Issue 3, 2024, Pages 571-584]
  • Distributed-order fractional derivative Solving of partial differential equations with distributed order in time using fractional-order Bernoulli-Legendre functions [Volume 9, Issue 3, 2021, Pages 799-817]
  • Distributional solution Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [(Articles in Press)]
  • Distribution of zeros for the solution Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]
  • Disturbance observer Sensitivity analytic and synchronization of a new fractional-order financial system [Volume 9, Issue 3, 2021, Pages 788-798]
  • Domain Decomposition Method An anomalous diffusion approach for speckle noise reduction in medical ultrasound images [Volume 10, Issue 1, 2022, Pages 225-235]
  • Double exponential transformation Solution of Troesch's problem through double exponential Sinc-Galerkin method [Volume 5, Issue 2, 2017, Pages 141-157]
  • Double Jump Option pricing under the double stochastic volatility with double jump model [Volume 5, Issue 3, 2017, Pages 224-231]
  • Double Laplace transform New generalized special functions with two generalized M-series at their kernels and solution of fractional PDEs via double Laplace transform [Volume 12, Issue 1, 2024, Pages 31-43]
  • Double layers New analytical soliton type solutions for double layers structure model of extended KdV equation [Volume 5, Issue 4, 2017, Pages 256-270]
  • Double Stochastic Volatility Option pricing under the double stochastic volatility with double jump model [Volume 5, Issue 3, 2017, Pages 224-231]
  • Drazin inverse Controllability and observability of linear impulsive differential algebraic system with Caputo fractional derivative [Volume 10, Issue 1, 2022, Pages 200-214]
  • Drinfel’d–Sokolov system Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method [Volume 10, Issue 4, 2022, Pages 1086-1096]
  • Drinfeld-Sokolov system Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Drug addiction An epidemic model for drug addiction [Volume 10, Issue 4, 2022, Pages 876-893]
  • DTM-Padé Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]
  • Duffing equation A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions [Volume 11, Issue 2, 2023, Pages 241-253]
  • Duffing equations A new Bernstein-reproducing kernel method for solving forced Duffing equations with integral boundary conditions [Volume 12, Issue 2, 2024, Pages 329-337]
  • Dynamical behavior Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]
  • Dynamical behavior Dynamics of a predator-prey system with prey refuge [Volume 7, Issue 3, 2019, Pages 454-474]
  • Dynamical behavior Global dynamics and numerical bifurcation of a bioeconomic system [Volume 9, Issue 2, 2021, Pages 427-445]
  • Dynamical systems A new reduced mathematical model to simulate the action potential in end plate of skeletal muscle fibers [Volume 7, Issue 1, 2019, Pages 42-53]
  • Dynamical systems THE DYNAMICAL SYSTEMS IN PRODUCT LUKASIEWICZ SEMIRINGS [(Articles in Press)]
  • Dynamical systems Analysis of a chaotic and a non-chaotic 3D dynamical system: The Quasi-Geostrophic Omega Equation and the Lorenz-96 model [(Articles in Press)]

E

  • EBM A novel analytical approximation approach for strongly nonlinear oscillation systems based on the energy balance method and He's Frequency-Amplitude formulation [Volume 11, Issue 3, 2023, Pages 464-477]
  • Ebola virus model A Study on the Fractional Ebola Virus Model by the Semi-Analytic and Numerical Approach [(Articles in Press)]
  • Ecological phenomena A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • Economic growth model Numerical solution of optimal control problem for economic growth model using RBF collocation method [Volume 10, Issue 2, 2022, Pages 327-337]
  • Ecosystem Integrated Pests Management and Food Security: A Mathematical Analysis [(Articles in Press)]
  • ECT-system An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system [Volume 6, Issue 4, 2018, Pages 438-447]
  • Eextended F-expansion method Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation [Volume 3, Issue 2, 2015, Pages 70-86]
  • Effective reproduction number Modelling the transmission of Mpox with case study in Nigeria and Democratic Republic of the Congo (DRC) [(Articles in Press)]
  • Efficiency of vaccines Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative [Volume 12, Issue 3, 2024, Pages 454-470]
  • Efficient Algorithm A novel analytical approximation approach for strongly nonlinear oscillation systems based on the energy balance method and He's Frequency-Amplitude formulation [Volume 11, Issue 3, 2023, Pages 464-477]
  • Efficient factors High-order numerical solution for a class of nonlinear Fredholm integro-differential equations [(Articles in Press)]
  • EF IMEX peer methods Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
  • Eigenfunction Stability and numerical approximation for a spacial class of semilinear parabolic equations on the Lipschitz bounded regions: Sivashinsky equation [Volume 7, Issue 4 (Special Issue), 2019, Pages 589-600]
  • Eigenfunction On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems [Volume 11, Issue 4, 2023, Pages 811-821]
  • Eigenfunction method A numerical technique for solving a class of 2D variational problems using Legendre spectral method [Volume 6, Issue 4, 2018, Pages 471-482]
  • Eigenfunctions The numerical values of the nodal points for the Sturm-Liouville equation with one turning point [Volume 7, Issue 1, 2019, Pages 124-137]
  • Eigenparameter dependent condition Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]
  • Eigenvalue problem Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Electrohydrodynamics flow A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials [Volume 5, Issue 4, 2017, Pages 280-300]
  • Electro-osmotic flow A Finite Difference Approach to Solve the Nonlinear Model of Electro-Osmotic Flow in Nano-Channels [(Articles in Press)]
  • Elliptic equation Application of the method of fundamental solutions for designing the optimal shape in heat transfer [Volume 9, Issue 1, 2021, Pages 273-288]
  • Elliptic Partial differential equation New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]
  • Elzaki Projected Differential Transform (EPDT) Exact and Iterative Solutions for DEs, Including Fokker-Planck and Newell-Whitehead-Segel Equations, Using Shehu Transform and HPM [(Articles in Press)]
  • Elzaki Transform SEMI-ANALYTICAL SOLUTIONS FOR TIME-FRACTIONAL CAUCHY REACTION -DIFFUSION EQUATIONS VIA NEW ELZAKI TRASFORM ITERATIVE METHOD [(Articles in Press)]
  • Embedding capacity Convolutional neural network-based high capacity predictor estimation for reversible data embedding in cloud network [Volume 12, Issue 3, 2024, Pages 585-598]
  • Enhancement A NOVEL FRAMEWORK FOR BREAST CANCER SCORING BASED ON MACHINE LEARNING TECHNIQUE USING IMMUNOHISTOCHEMISTRY IMAGES [(Articles in Press)]
  • Entropy THE DYNAMICAL SYSTEMS IN PRODUCT LUKASIEWICZ SEMIRINGS [(Articles in Press)]
  • Epidemic model Analytical approximate solution of leptospirosis epidemic model with standard incidence rate [Volume 7, Issue 3, 2019, Pages 370-382]
  • Epidemic model Backward bifurcation in a two strain model of heroin addiction [Volume 10, Issue 3, 2022, Pages 656-673]
  • Epidemic model An epidemic model for drug addiction [Volume 10, Issue 4, 2022, Pages 876-893]
  • EQUATION A ROBUST NUMERICAL METHOD TO FIND THE SOLUTIONS OF TIME-FRACTIONAL KLEIN-CORDON EQUATION [(Articles in Press)]
  • Equations Non-polynomial Spline Method for Solving Coupled Burgers Equations [Volume 3, Issue 3, 2015, Pages 218-230]
  • Equilibrium Integrated Pests Management and Food Security: A Mathematical Analysis [(Articles in Press)]
  • Equilibrium point Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative [Volume 12, Issue 3, 2024, Pages 454-470]
  • Equilibrium problem Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems [Volume 10, Issue 3, 2022, Pages 639-655]
  • Equilibrium solution Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Equivalence relation Isospectral sixth order Sturm-Liouville eigenvalue problems [Volume 8, Issue 4, 2020, Pages 762-769]
  • Ergodic Markov chain A new Monte Carlo method for solving systems of linear algebraic equations [Volume 9, Issue 1, 2021, Pages 159-179]
  • Error analysis Solving multi-order fractional differential equations by reproducing kernel Hilbert space method [Volume 4, Issue 3, 2016, Pages 170-190]
  • Error analysis Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Error analysis Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials [Volume 5, Issue 2, 2017, Pages 88-102]
  • Error analysis Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Error analysis ‎Solving brachistochrone problem via scaling functions of Daubechies wavelets [Volume 9, Issue 2, 2021, Pages 511-522]
  • Error analysis The numerical approximation for the solution of linear and nonlinear integral equations of the second kind by interpolating moving least squares [Volume 9, Issue 3, 2021, Pages 830-845]
  • Error analysis A new numerical fractional differentiation formula to approximate the Caputo-Fabrizio fractional derivative: error analysis and stability [Volume 10, Issue 1, 2022, Pages 12-27]
  • Error analysis Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems [Volume 10, Issue 4, 2022, Pages 942-953]
  • Error analysis Error analysis and Kronecker implementation of Chebyshev spectral collocation method for solving linear PDEs [Volume 10, Issue 4, 2022, Pages 914-927]
  • Error analysis Improved residual method for approximating Bratu problem [Volume 11, Issue 3, 2023, Pages 535-547]
  • Error analysis A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease [Volume 11, Issue 4, 2023, Pages 834-850]
  • Error analysis Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • Error analysis Numerical solution of different population balance models using operational method based on Genocchi polynomials [(Articles in Press)]
  • Error analysis Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions [(Articles in Press)]
  • Error analysis A Reproducing Kernel Method for Solving Nonlocal Functional Differential Equations with Delayed or Advanced Arguments [(Articles in Press)]
  • Error bounds An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]
  • Error estimation Bernoulli wavelet method for numerical solutions of system of fuzzy integral equations [Volume 9, Issue 3, 2021, Pages 846-857]
  • Error estimation Optimal control of Volterra integro-differential equations based on interpolation polynomials and collocation method [Volume 11, Issue 1, 2023, Pages 52-64]
  • Error estimation An Efficient Numerical Scheme for Solving A Competitive Lotka-Volterra System with Two Discrete Delays [(Articles in Press)]
  • Euler-Lagrange equation An analytic study on the Euler-Lagrange equation arising in calculus of variations [Volume 2, Issue 3, 2014, Pages 140-152]
  • Euler series solution method An Efficient Numerical Scheme for Solving A Competitive Lotka-Volterra System with Two Discrete Delays [(Articles in Press)]
  • European and American put option An adaptive Monte Carlo algorithm for European and American options [Volume 10, Issue 2, 2022, Pages 489-501]
  • European option Haar wavelet-based valuation method for pricing European options [Volume 11, Issue 2, 2023, Pages 281-290]
  • European option pricing Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • European option pricing problem European option pricing of fractional Black-Scholes model with new Lagrange multipliers [Volume 2, Issue 1, 2014, Pages 1-10]
  • Evolution equations Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model [Volume 12, Issue 3, 2024, Pages 561-570]
  • Exact analytical solutions New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform [Volume 10, Issue 2, 2022, Pages 396-407]
  • Exact finite difference An improved collocation method based on deviation of the error for solving BBMB equation [Volume 6, Issue 2, 2018, Pages 238-247]
  • Exact soliton solution APPLICATION OF tan(ϕ/2)-EXPANSION METHOD FOR SOLVING THE FRACTIONAL BISWAS-MILOVIC EQUATION FOR KERR LAW NONLINEARITY [(Articles in Press)]
  • Exact solution Exact solutions of distinct physical structures to the fractional potential Kadomtsev-Petviashvili equation [Volume 2, Issue 1, 2014, Pages 26-36]
  • Exact solution Topological soliton solutions of the some nonlinear partial differential equations [Volume 2, Issue 4, 2014, Pages 227-242]
  • Exact solution Solving nonlinear space-time fractional differential equations via ansatz method [Volume 6, Issue 1, 2018, Pages 1-11]
  • Exact solution A new method for constructing exact solutions for a time-fractional differential equation [Volume 8, Issue 1, 2020, Pages 194-204]
  • Exact solution A novel scheme for SMCH equation with two different approaches [Volume 11, Issue 2, 2023, Pages 263-280]
  • Exact solutions Exact solutions of the 2D Ginzburg-Landau equation by the first integral method [Volume 2, Issue 2, 2014, Pages 69-76]
  • Exact solutions A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics [Volume 2, Issue 3, 2014, Pages 153-170]
  • Exact solutions The B"{a}cklund transformation method of Riccati equation to coupled Higgs field and Hamiltonian amplitude equations [Volume 2, Issue 4, 2014, Pages 216-226]
  • Exact solutions Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation [Volume 3, Issue 1, 2015, Pages 59-69]
  • Exact solutions Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation [Volume 7, Issue 2, 2019, Pages 266-275]
  • Exact solutions The symmetry analysis and analytical studies of the rotational GreenNaghdi (R-GN) equation [Volume 9, Issue 4, 2021, Pages 1223-1232]
  • Exact solutions Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods [Volume 10, Issue 3, 2022, Pages 674-685]
  • Exact solutions The complex hyperbolic Schrodinger dynamical equation with a truncated M-fractional by using simplest equation method [Volume 12, Issue 1, 2024, Pages 44-55]
  • Exact solutions Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations [Volume 12, Issue 2, 2024, Pages 413-424]
  • Exact solutions Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations [(Articles in Press)]
  • Exact solutions Optical solitons and stability analysis for the improved Eckhaus equations [(Articles in Press)]
  • Exact traveling wave Solutions‎ Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation [Volume 3, Issue 2, 2015, Pages 70-86]
  • Excess sludge production Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Existence and nonexistence Some existence and nonexistence results for a class of Kirchhoff-double phase systems in bounded domains [(Articles in Press)]
  • Existence and uniqueness Existence and uniqueness of solutions of uncertain linear systems [Volume 9, Issue 1, 2021, Pages 289-299]
  • Existence and uniqueness To study existence of unique solution and numerically solving for a kind of three-point boundary fractional high-order problem subject to Robin condition [Volume 11, Issue 2, 2023, Pages 332-344]
  • Existence and uniqueness Modeling and Simulation of COVID-19 Disease Dynamics via Caputo Fabrizio Fractional Derivative [(Articles in Press)]
  • Existence and uniqueness Quintic B-Spline Method for Numerical Solution of Second Order Singularly Perturbed Delay Differential Equations [(Articles in Press)]
  • Existence and uniqueness Numerical Analysis of SEIR epidemic model with fractional order [(Articles in Press)]
  • Existence and uniqueness Investigation of convergence analysis of stochastic Heston model with one singular point [(Articles in Press)]
  • Existence and uniqueness and sufficient condition of convergence Neumann method for solving conformable fractional Volterra integral equations [Volume 8, Issue 1, 2020, Pages 54-68]
  • Existence and uniqueness(EUS) Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem [Volume 9, Issue 4, 2021, Pages 1042-1058]
  • Existence and uniqueness of solution Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • Existence and uniqueness results Existence of positive solution to a class of boundary value problems of fractional differential equations [Volume 4, Issue 1, 2016, Pages 19-29]
  • Existence-uniqueness Existence and Uniqueness Theorems for Fractional Differential Equations with Proportional Delay [(Articles in Press)]
  • Exp–function method Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Exp-function method(EFM) Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics [Volume 13, Issue 1, 2025, Pages 1-12]
  • Explicit exact solutions Explicit exact solutions for variable coefficient Broer-Kaup equations [Volume 3, Issue 3, 2015, Pages 192-199]
  • Explicit methods Higher-order multi-step Runge-Kutta-Nystr"om methods with frequency-dependent coefficients for second-order initial value problem $u^{prime prime}=f(x,u,u^{prime})$ [Volume 12, Issue 4, 2024, Pages 808-826]
  • Exponential B-spline collocation An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]
  • Exponential cubic B-spline Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]
  • Exponential cubic B-spline An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation [Volume 9, Issue 4, 2021, Pages 1109-1127]
  • Exponential cubic spline method A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability [Volume 10, Issue 2, 2022, Pages 475-488]
  • Exponential Euler scheme The convergence of exponential Euler method for weighted fractional stochastic equations [Volume 10, Issue 2, 2022, Pages 538-548]
  • Exponential function Numerical computation of exponential functions in frame of Nabla fractional calculus [Volume 11, Issue 2, 2023, Pages 291-302]
  • Exponential mean-square stability Stability of two classes of improved backward Euler methods for stochastic delay differential equations of neutral type [Volume 5, Issue 3, 2017, Pages 201-213]
  • Exponential operational method Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs [Volume 5, Issue 3, 2017, Pages 246-255]
  • Exponential second kind Chebyshev functions Solving high-order partial differential equations in unbounded domains by means of double exponential second kind Chebyshev approximation [Volume 3, Issue 3, 2015, Pages 147-162]
  • Exponential Stability HYERS-ULAM AND EXPONENTIAL STABILITIES OF AUTONOMOUS AND NON-AUTONOMOUS DIFFERENCE EQUATIONS [(Articles in Press)]
  • Exp(−Φ(ξ))-expansion method An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrodinger equation with different laws of nonlinearity [Volume 10, Issue 3, 2022, Pages 701-715]
  • Exp(-φ(ξ))-expansion method Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation [Volume 11, Issue 3, 2023, Pages 564-575]
  • Extended homogeneous balance method The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]
  • Extended Korteweg-de Vries(KdV) New analytical soliton type solutions for double layers structure model of extended KdV equation [Volume 5, Issue 4, 2017, Pages 256-270]
  • Extended shallow water wave model Complex Wave Surfaces to the Extended Shallow Water Wave Model with (2+1)-dimensional [Volume 8, Issue 3, 2020, Pages 585-596]
  • Extended sinh-Gordon equation expansion method Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation [Volume 10, Issue 1, 2022, Pages 179-190]
  • Extended trial equation method On the travelling wave solutions of Ostrovsky equation [Volume 8, Issue 2, 2020, Pages 401-407]
  • Extended trial equation method Exact solutions of the combined Hirota-LPD equation with variable coefficients [Volume 9, Issue 1, 2021, Pages 94-116]
  • Extra distributed-order fractional derivative operator An optimum solution for multi-dimensional distributed-order fractional differential equations [Volume 11, Issue 3, 2023, Pages 548-563]
  • Extragradient method Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems [Volume 10, Issue 3, 2022, Pages 639-655]
  • Extrapolation methods Extrapolated triangular splitting method to interval system of linear algebraic equations [Volume 11, Issue 4, 2023, Pages 738-752]
  • Extremal solutions Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations [Volume 1, Issue 2, 2013, Pages 120-134]
  • Extremal solutions Extremal solutions for multi-term nonlinear fractional differential equations with nonlinear boundary conditions [Volume 11, Issue 1, 2023, Pages 32-41]

F

  • Factional Biswas-Milovic equation APPLICATION OF tan(ϕ/2)-EXPANSION METHOD FOR SOLVING THE FRACTIONAL BISWAS-MILOVIC EQUATION FOR KERR LAW NONLINEARITY [(Articles in Press)]
  • Factorization method Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c) [Volume 7, Issue 2, 2019, Pages 199-205]
  • Fast discrete sine transform An efficient high-order compact finite difference method for the Helmholtz equation [Volume 8, Issue 3, 2020, Pages 553-563]
  • Fast Fourier Transform Option pricing under the double stochastic volatility with double jump model [Volume 5, Issue 3, 2017, Pages 224-231]
  • Faugere's algorithm Solving Stiff Systems by using Symbolic - Numerical Method [Volume 8, Issue 2, 2020, Pages 282-293]
  • Fear effect A nonlinear mathematical model of the delayed predator-prey system that includes the factors of intraspecific rivalry among predator species, the fear effect, and the Holling type-IV functional response [(Articles in Press)]
  • Feedback Nash equilibrium A Bernoulli Tau method for numerical solution of feedback Nash differential games with an error estimation [Volume 10, Issue 4, 2022, Pages 894-904]
  • Feed forward neural network‎ Numerical treatment for nonlinear steady flow of a third grade‎ fluid in a porous half space by neural networks optimized [Volume 6, Issue 1, 2018, Pages 53-62]
  • F-expansion method Dynamic Insights into Gaseous Diffusion: Analytical Soliton and Wave Solutions via Chaffee–Infante Equation in Homogeneous Media [(Articles in Press)]
  • Fifth-order integrable equations Some new soliton solutions for the nonlinear the fifth-order integrable equations [Volume 10, Issue 2, 2022, Pages 445-460]
  • Fifth order time-fractional dispersive equation Application of the invariant subspace method in conjunction with the fractional Sumudu’s transform to a nonlinear conformable time-fractional dispersive equation of the fifth order [Volume 7, Issue 3, 2019, Pages 359-369]
  • Filippov systems Lyapunov exponents for discontinuous dynamical systems of Filippov type [Volume 8, Issue 3, 2020, Pages 446-453]
  • Finance, Constant elasticity of variance A new methodology to estimate constant elasticity of variance [Volume 9, Issue 4, 2021, Pages 1059-1068]
  • Financial market‎ New Solutions for Fokker-Plank Equation of‎ ‎Special Stochastic Process via Lie Point Symmetries [Volume 5, Issue 1, 2017, Pages 30-42]
  • Financing Meshless approach for pricing Islamic Ijarah under stochastic interest rate models [Volume 9, Issue 4, 2021, Pages 1028-1041]
  • Finite difference Optimization with the time-dependent Navier-Stokes equations as constraints [Volume 3, Issue 2, 2015, Pages 87-98]
  • Finite difference Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]
  • Finite difference On a novel modification of the Legendre collocation method for solving fractional diffusion equation [Volume 7, Issue 3, 2019, Pages 480-496]
  • Finite difference Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • Finite difference A Finite Difference Approach to Solve the Nonlinear Model of Electro-Osmotic Flow in Nano-Channels [(Articles in Press)]
  • Finite difference discretization Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • Finite differences Two explicit and implicit finite difference schemes for time fractional Riesz space diffusion equation [Volume 10, Issue 3, 2022, Pages 799-815]
  • Finite differences Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
  • Finite differences method A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • Finite element scheme A numerical approach for variable-order fractional unified chaotic systems with time-delay [Volume 6, Issue 4, 2018, Pages 396-410]
  • Finite elements method An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem [Volume 12, Issue 3, 2024, Pages 471-483]
  • Finite integration method Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients [Volume 7, Issue 1, 2019, Pages 1-15]
  • Finite population Bayesian bootstrapping Using synthetic data and dimensionality reduction in high-dimensional classification via logistic regression [Volume 7, Issue 4 (Special Issue), 2019, Pages 626-634]
  • Finite-time bounded LQR Technique Based SMC Design for a Class of Uncertain Time-delay Conic Nonlinear Systems [(Articles in Press)]
  • Finite-time stabilization Finite-time stabilization of satellite quaternion attitude [Volume 3, Issue 4, 2015, Pages 274-283]
  • Finite volume method Finite volume element approximation for time dependent convection diffusion reaction equations with memory [Volume 9, Issue 4, 2021, Pages 977-1000]
  • Finite volume technique Numerical analysis of fluid flow behaviour in two sided deep lid driven cavity using the finite volume technique [Volume 10, Issue 4, 2022, Pages 986-1006]
  • First integral method Solitary Wave solutions of the BK equation and ALWW system by using the first integral method [Volume 1, Issue 2, 2013, Pages 146-157]
  • First integral method Exact solutions of the 2D Ginzburg-Landau equation by the first integral method [Volume 2, Issue 2, 2014, Pages 69-76]
  • First order linear fuzzy differential equations First order linear fuzzy differential equations with fuzzy variable coefficients [Volume 9, Issue 1, 2021, Pages 1-21]
  • Fisher equation The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation [Volume 4, Issue 1, 2016, Pages 43-53]
  • Fisher's equation An effective Legendre wavelet technique for the time-fractional Fisher equation [(Articles in Press)]
  • Fisher’s Equation The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Fisher’s Equation Application of cubic B-spline collocation method for reaction diffusion Fisher's equation [Volume 9, Issue 1, 2021, Pages 22-35]
  • Fitted Mesh scheme Fitted mesh numerical scheme for singularly perturbed delay reaction diffusion problem with integral boundary condition [Volume 11, Issue 3, 2023, Pages 478-494]
  • Fitzhugh-Nagumo(FN) equation An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations [Volume 6, Issue 3, 2018, Pages 280-294]
  • Fixed point Existence of nonoscillatory solutions of second-order differential equations with mixed neutral term [Volume 11, Issue 4, 2023, Pages 851-864]
  • Fixed point On unique solutions of integral equations by progressive contractions [Volume 13, Issue 1, 2025, Pages 183-189]
  • Fixed point in partially ordered sets Interval fractional integrodifferential equations without singular kernel by fixed point in partially ordered sets [Volume 5, Issue 1, 2017, Pages 12-29]
  • Fixed point iteration A new iteration method for solving a class of Hammerstein type integral equations system [Volume 3, Issue 4, 2015, Pages 231-246]
  • Fixed point theorems Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems [Volume 2, Issue 4, 2014, Pages 205-215]
  • Flatlet oblique multiwavelets Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • Flip bifurcation Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization [Volume 9, Issue 4, 2021, Pages 1013-1027]
  • Floating point arithmetic Bounding error of calculating the matrix functions [Volume 10, Issue 1, 2022, Pages 259-273]
  • Flux limiter A total variation diminishing high resolution scheme for nonlinear conservation laws [Volume 6, Issue 4, 2018, Pages 456-470]
  • Foam Drainage Equation Numerical solution of time-dependent foam drainage equation (FDE) [Volume 3, Issue 2, 2015, Pages 111-122]
  • Fog-Cloud computing system A priority-based service placement policy for Fog-Cloud computing systems [Volume 7, Issue 4 (Special Issue), 2019, Pages 521-534]
  • Fokker-Planck Exact and Iterative Solutions for DEs, Including Fokker-Planck and Newell-Whitehead-Segel Equations, Using Shehu Transform and HPM [(Articles in Press)]
  • Fokker-Planck equation Solving the Fokker-Planck equation via the compact finite difference method [Volume 8, Issue 3, 2020, Pages 493-504]
  • Fokker-Planck equation Radial basis functions method for nonlinear time- and space-fractional Fokker-Planck equation [Volume 9, Issue 4, 2021, Pages 1128-1147]
  • Fokker Plank equation‎ Exact solutions for Fokker-Plank equation of geometric Brownian motion with Lie point symmetries [Volume 6, Issue 3, 2018, Pages 372-379]
  • Fokker-Plank equation Exact solutions and numerical simulations of time-fractional Fokker-Plank equation for special stochastic process [Volume 9, Issue 1, 2021, Pages 258-272]
  • Fordy-Gibbons-Jimbo-Miwa equation On the stability analysis and the solitonic wave structures for the Fordy-Gibbons-Jimbo-Miwa equation [(Articles in Press)]
  • Forest resources An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [(Articles in Press)]
  • Forward-backward heat equation Solving the forward-backward heat equation with a non-overlapping domain decomposition method based on multiquadric RBF meshfree method [Volume 9, Issue 4, 2021, Pages 1083-1099]
  • Forward-backward stochastic differential equations Some Results on Reflected Forward-Backward Stochastic differential equations [Volume 8, Issue 3, 2020, Pages 480-492]
  • Fourth kind Chebyshev wavelets A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells [Volume 6, Issue 3, 2018, Pages 353-371]
  • Fourth-order exponential time differenceing Runge-Kutta method The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system [Volume 6, Issue 2, 2018, Pages 215-237]
  • Fractal calculus Local fractal Fourier transform and applications [Volume 10, Issue 3, 2022, Pages 595-607]
  • Fractal Differential Equations A numerical approach for solving the Fractal ordinary differential equations [Volume 12, Issue 4, 2024, Pages 780-790]
  • Fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation [Volume 11, Issue 3, 2023, Pages 564-575]
  • Fractional ABC-derivative A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease [Volume 11, Issue 4, 2023, Pages 834-850]
  • Fractional Black- Scholes equation European option pricing of fractional Black-Scholes model with new Lagrange multipliers [Volume 2, Issue 1, 2014, Pages 1-10]
  • Fractional Black-Scholes equation Application of cubic B-spline quasi-interpolation for solving timefractional partial differential equation [Volume 8, Issue 4, 2020, Pages 781-793]
  • Fractional BlackScholes equation A compact difference scheme for time-fractional Black-Scholes equation with time-dependent parameters under the CEV model: American options [Volume 9, Issue 2, 2021, Pages 523-552]
  • Fractional Chebyshev differential equation Fractional Chebyshev differential equation on symmetric $lpha$ dependent interval‎ [Volume 12, Issue 2, 2024, Pages 226-235]
  • Fractional cohomological equations Toward a new understanding of cohomological method for fractional partial differential equations [Volume 9, Issue 4, 2021, Pages 959-976]
  • Fractional cubic-quartic nonlinear Schr¨odinger equation An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrodinger equation with different laws of nonlinearity [Volume 10, Issue 3, 2022, Pages 701-715]
  • Fractional derivative Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos [Volume 6, Issue 2, 2018, Pages 248-265]
  • Fractional derivative A pseudo-spectral based method for time-fractional advection-diffusion equation [Volume 8, Issue 3, 2020, Pages 454-467]
  • Fractional derivative A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components [Volume 9, Issue 2, 2021, Pages 446-466]
  • Fractional derivative Radial basis functions method for nonlinear time- and space-fractional Fokker-Planck equation [Volume 9, Issue 4, 2021, Pages 1128-1147]
  • Fractional derivative On fractional linear multi-step methods for fractional order multi-delay nonlinear pantograph equation [Volume 12, Issue 3, 2024, Pages 511-522]
  • Fractional derivative A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]
  • Fractional derivative A Novel Approach to Fractional Kinetic Equations Involving Srivastava Polynomial and Multi-Index Bessel Function [(Articles in Press)]
  • Fractional derivative The (4lpha- ho) order Sturm-Liouville problem with generalized fractional derivative [(Articles in Press)]
  • Fractional derivatives Solving a class of fractional optimal control problems via a new efficient and accurate method [Volume 9, Issue 2, 2021, Pages 480-492]
  • Fractional derivatives Two explicit and implicit finite difference schemes for time fractional Riesz space diffusion equation [Volume 10, Issue 3, 2022, Pages 799-815]
  • Fractional derivatives Numerical study of the non-linear time fractional Klein-Gordon equation using the Pseudo-spectral Method [(Articles in Press)]
  • Fractional derivatives and integrals A Chebyshev Wavelet Approach to the Generalized Time-Fractional Burgers-Fisher Equation [(Articles in Press)]
  • Fractional descriptor Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]
  • Fractional difference equation Existence and properties of positive solutions for Caputo fractional difference equation and applications [Volume 10, Issue 3, 2022, Pages 567-579]
  • Fractional differential differential equations Existence of positive solution to a class of boundary value problems of fractional differential equations [Volume 4, Issue 1, 2016, Pages 19-29]
  • Fractional differential equations Brenstien polynomials and its application to fractional differential equation [Volume 3, Issue 1, 2015, Pages 14-35]
  • Fractional differential equations Exact solutions of distinct physical structures to the fractional potential Kadomtsev-Petviashvili equation [Volume 2, Issue 1, 2014, Pages 26-36]
  • Fractional differential equations Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems [Volume 2, Issue 4, 2014, Pages 205-215]
  • Fractional differential equations Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions [Volume 5, Issue 2, 2017, Pages 117-140]
  • Fractional differential equations Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations [Volume 5, Issue 2, 2017, Pages 158-169]
  • Fractional differential equations An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order [Volume 6, Issue 3, 2018, Pages 339-352]
  • Fractional differential equations Stability and bifurcation of fractional tumor-immune model with time delay [Volume 9, Issue 3, 2021, Pages 692-709]
  • Fractional differential equations Collocation method based on Chebyshev polynomials for solving distributed order fractional differential equations [Volume 9, Issue 3, 2021, Pages 858-873]
  • Fractional differential equations On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter [Volume 9, Issue 4, 2021, Pages 1001-1012]
  • Fractional differential equations Power series solutions of fractional Lotka-Volterra equation [(Articles in Press)]
  • Fractional differential equations(FDEs) Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem [Volume 9, Issue 4, 2021, Pages 1042-1058]
  • Fractional differential operator Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature [Volume 10, Issue 2, 2022, Pages 372-395]
  • Fractional diffusion equation On a novel modification of the Legendre collocation method for solving fractional diffusion equation [Volume 7, Issue 3, 2019, Pages 480-496]
  • Fractional diffusion equation Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials [Volume 10, Issue 2, 2022, Pages 431-444]
  • Fractional diffusion equation Two explicit and implicit finite difference schemes for time fractional Riesz space diffusion equation [Volume 10, Issue 3, 2022, Pages 799-815]
  • Fractional Duffing differential equations A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
  • Fractional equation Alpert wavelet system for solving fractional nonlinear Fredholm integro-differential equations [Volume 9, Issue 3, 2021, Pages 762-773]
  • Fractional equation Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation [Volume 10, Issue 3, 2022, Pages 608-616]
  • Fractional Fokker-Planck equations(STF-FPE)‎ New approximations of space-time fractional Fokker-Planck equations [Volume 11, Issue 3, 2023, Pages 495-521]
  • Fractional functional integro-differential equation Existence of solutions of Caputo fractional integro-differential equations [(Articles in Press)]
  • Fractional hybrid differential equations Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations [Volume 1, Issue 2, 2013, Pages 120-134]
  • Fractional integral operator Solving of partial differential equations with distributed order in time using fractional-order Bernoulli-Legendre functions [Volume 9, Issue 3, 2021, Pages 799-817]
  • Fractional integrals Solving a class of fractional optimal control problems via a new efficient and accurate method [Volume 9, Issue 2, 2021, Pages 480-492]
  • Fractional integration On fractional linear multi-step methods for fractional order multi-delay nonlinear pantograph equation [Volume 12, Issue 3, 2024, Pages 511-522]
  • Fractional integro-differential equation The solving integro-differential equations of fractional order with the ultraspherical functions [Volume 8, Issue 1, 2020, Pages 205-211]
  • Fractional integro-differential equation On the wavelet Galerkin method for solving the fractional Fredholm integro-differential equations [(Articles in Press)]
  • Fractional interval differential equation Optimal control of fractional differential equations with interval uncertainty [(Articles in Press)]
  • Fractional kinetic equation Generalization of Katugampola fractional kinetic equation involving incomplete H-function [Volume 12, Issue 4, 2024, Pages 842-856]
  • Fractional Klein-Gordon equation Analytical solutions for the fractional Klein-Gordon equation [Volume 2, Issue 2, 2014, Pages 99-114]
  • Fractional Laplace transform New analytical methods for solving a class of conformable fractional differential equations by fractional Laplace transform [Volume 10, Issue 2, 2022, Pages 396-407]
  • Fractional linear multi-step methods On fractional linear multi-step methods for fractional order multi-delay nonlinear pantograph equation [Volume 12, Issue 3, 2024, Pages 511-522]
  • Fractional model Solving large systems arising from fractional models by preconditioned methods [Volume 3, Issue 4, 2015, Pages 258-273]
  • Fractional operational matrix A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
  • Fractional optimal control problem Solving a class of fractional optimal control problems via a new efficient and accurate method [Volume 9, Issue 2, 2021, Pages 480-492]
  • Fractional optimal control problem A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials [Volume 10, Issue 3, 2022, Pages 755-773]
  • Fractional order Matrix Mittag-Leffler functions of fractional nabla calculus [Volume 6, Issue 2, 2018, Pages 128-140]
  • Fractional order A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type [Volume 8, Issue 1, 2020, Pages 173-193]
  • Fractional order Dynamics and bifurcation control of a fractional-order delayed predator–prey model with an omnivore [(Articles in Press)]
  • Fractional-order differential equation A numerical scheme for solving time-fractional Bessel differential equations [Volume 10, Issue 4, 2022, Pages 1097-1114]
  • Fractional-order dynamical system Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization [Volume 9, Issue 4, 2021, Pages 1013-1027]
  • Fractional-order Fibonacci functions An optimum solution for multi-dimensional distributed-order fractional differential equations [Volume 11, Issue 3, 2023, Pages 548-563]
  • Fractional order financial system Sensitivity analytic and synchronization of a new fractional-order financial system [Volume 9, Issue 3, 2021, Pages 788-798]
  • Fractional-order functions Solving of partial differential equations with distributed order in time using fractional-order Bernoulli-Legendre functions [Volume 9, Issue 3, 2021, Pages 799-817]
  • Fractional-order Genocchi wavelets Numerical solution of stochastic fractional integro-differential/ Itô-Volterra integral equations via fractional Genocchi wavelets [(Articles in Press)]
  • Fractional-order Legendre wavelets Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions [Volume 5, Issue 2, 2017, Pages 117-140]
  • Fractional order optimal control Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems [Volume 4, Issue 2, 2016, Pages 99-115]
  • Fractional order Riccati differential equations Asymptotic decomposition method for fractional order Riccati differential equation [Volume 9, Issue 1, 2021, Pages 63-78]
  • Fractional order systems Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach [Volume 10, Issue 4, 2022, Pages 860-875]
  • Fractional Ostrovsky equation Fractional Ostrovsky equation [Volume 8, Issue 4, 2020, Pages 648-660]
  • Fractional partial differential equation A Chebyshev Wavelet Approach to the Generalized Time-Fractional Burgers-Fisher Equation [(Articles in Press)]
  • Fractional Perona-Malik Equation An anomalous diffusion approach for speckle noise reduction in medical ultrasound images [Volume 10, Issue 1, 2022, Pages 225-235]
  • Fractional Prey-predator model Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]
  • Fractional Programming ON THE EFFICIENCY OF ALGORITHM FOR SOLVING COMPLEX QUADRATIC DOUBLE–RATIO MINIMAX OPTIMIZATION PROBLEM [(Articles in Press)]
  • Fractional Riccati differential equation On a novel modification of the Legendre collocation method for solving fractional diffusion equation [Volume 7, Issue 3, 2019, Pages 480-496]
  • Fractional Riccati differential equations COMPACT FINITE DIFFERENCE SCHEME FOR NUMERICAL SOLUTION OF CAPUTO-FABRIZIO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS [(Articles in Press)]
  • Fractional Schr"odinger equation Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c) [Volume 7, Issue 2, 2019, Pages 199-205]
  • Fractional Schrödinger equation A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]
  • Fractional singular differential equation Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions [Volume 8, Issue 4, 2020, Pages 610-638]
  • Fractional stochastic integro-differential equations Numerical solution of stochastic fractional integro-differential/ Itô-Volterra integral equations via fractional Genocchi wavelets [(Articles in Press)]
  • Fractional Sturm-Liouville Eigenvalues of fractional Sturm-Liouville problems by successive method [Volume 9, Issue 4, 2021, Pages 1163-1175]
  • Fractional Sturm-Liouville The generalized conformable derivative for 4α-order Sturm-Liouville problems [Volume 10, Issue 3, 2022, Pages 816-825]
  • Fractional Sturm-Liouville problem Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems [Volume 2, Issue 1, 2014, Pages 56-61]
  • Fractional sub-diffusion equation An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]
  • Fractional sub-diffusion equation A Novel Hybrid Approach to Approximate fractional Sub-Diffusion Equation [(Articles in Press)]
  • Fractional sub-equation method A new fractional sub-equation method for solving the space-time fractional differential equations in mathematical physics [Volume 2, Issue 3, 2014, Pages 153-170]
  • Fractional Sumudu’s transform Application of the invariant subspace method in conjunction with the fractional Sumudu’s transform to a nonlinear conformable time-fractional dispersive equation of the fifth order [Volume 7, Issue 3, 2019, Pages 359-369]
  • Fractional telegraph equation Numerical solution of fractional Riesz space telegraph equation [Volume 9, Issue 1, 2021, Pages 187-210]
  • Fractional Volterra integro-differential equations Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • Fr$\acute{\text{e}}$chet $Q$-algebras Automatic continuity of almost conjugate Jordan homomorphism on Fr$cute{ ext{e}}$chet $Q$-algebras [Volume 7, Issue 4 (Special Issue), 2019, Pages 601-607]
  • Fredholm integral equation On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions [Volume 9, Issue 1, 2021, Pages 36-51]
  • Fredholm integral equation Quintic Spline functions and Fredholm integral equation [Volume 9, Issue 1, 2021, Pages 211-224]
  • Fredholm integro-differential equation Alpert wavelet system for solving fractional nonlinear Fredholm integro-differential equations [Volume 9, Issue 3, 2021, Pages 762-773]
  • Fredholm-Volterra integral equation Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials [Volume 5, Issue 2, 2017, Pages 88-102]
  • Fredholm-Volterra integro-differential equations Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets [Volume 7, Issue 2, 2019, Pages 163-176]
  • Fredholm-Volterra integro-differential equations A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations [Volume 3, Issue 4, 2015, Pages 284-297]
  • Free boundary problem Valuation of installment option by penalty method [Volume 3, Issue 4, 2015, Pages 298-310]
  • Free boundary problem Solving free boundary problem for an initial cell layer in multispecies biofilm formation by Newton-Raphson method [Volume 9, Issue 3, 2021, Pages 899-907]
  • Free boundary problem Numerical solution of one-phase Stefan problem for the non-classical heat equation with a convective condition [Volume 11, Issue 4, 2023, Pages 776-784]
  • Free boundary problem An heuristic method for solving an inverse problem in semiconductors governed by a nonlinear coupled system [(Articles in Press)]
  • Free boundary problems A combining method for the approximate solution of spatial segregation limit of reaction-diffusion systems [Volume 9, Issue 2, 2021, Pages 410-426]
  • Full discrete scheme Finite volume element approximation for time dependent convection diffusion reaction equations with memory [Volume 9, Issue 4, 2021, Pages 977-1000]
  • Functional data Statistical inference for Functional data: two sample Behrens-Fisher problem [Volume 7, Issue 4 (Special Issue), 2019, Pages 608-615]
  • Functional differential equation A Reproducing Kernel Method for Solving Nonlocal Functional Differential Equations with Delayed or Advanced Arguments [(Articles in Press)]
  • Functional Hammerstein integro-differential equations A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type [Volume 8, Issue 1, 2020, Pages 173-193]
  • Functional response A nonlinear mathematical model of the delayed predator-prey system that includes the factors of intraspecific rivalry among predator species, the fear effect, and the Holling type-IV functional response [(Articles in Press)]
  • Fuzzy ABC fractional differential equations Application of fuzzy ABC fractional differential equations in infectious diseases [Volume 12, Issue 1, 2024, Pages 1-15]
  • Fuzzy Atangana-Baleanu-Caputo(ABC) fractional derivative Application of fuzzy ABC fractional differential equations in infectious diseases [Volume 12, Issue 1, 2024, Pages 1-15]
  • Fuzzy-based controller A fuzzy-based routing scheme for network-on-chip with honeycomb topology [Volume 7, Issue 4 (Special Issue), 2019, Pages 511-520]
  • Fuzzy basis functions Application of fuzzy systems on the numerical solution of the elliptic PDE-constrained optimal control problems [Volume 10, Issue 2, 2022, Pages 351-371]
  • Fuzzy blood flow back Theorem Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure [Volume 9, Issue 4, 2021, Pages 919-939]
  • Fuzzy Caputo's H-differentiability Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]
  • Fuzzy fractional differential equation Linear fractional fuzzy differential equations with Caputo derivative [Volume 7, Issue 2, 2019, Pages 252-265]
  • Fuzzy Fractional differential equations An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method [Volume 12, Issue 4, 2024, Pages 763-779]
  • Fuzzy function A method for second-order linear fuzzy two-point boundary value problems based on the Hukuhara differentiability [Volume 11, Issue 3, 2023, Pages 576-588]
  • Fuzzy initial value problem Linear fractional fuzzy differential equations with Caputo derivative [Volume 7, Issue 2, 2019, Pages 252-265]
  • Fuzzy initial value problem First order linear fuzzy differential equations with fuzzy variable coefficients [Volume 9, Issue 1, 2021, Pages 1-21]
  • Fuzzy instant pressure volume Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure [Volume 9, Issue 4, 2021, Pages 919-939]
  • Fuzzy integral equations Bernoulli wavelet method for numerical solutions of system of fuzzy integral equations [Volume 9, Issue 3, 2021, Pages 846-857]
  • Fuzzy Laplace transform, Generalized Hukuhara differentiability Linear fractional fuzzy differential equations with Caputo derivative [Volume 7, Issue 2, 2019, Pages 252-265]
  • Fuzzy model of arterial pressure Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure [Volume 9, Issue 4, 2021, Pages 919-939]
  • Fuzzy number A method for second-order linear fuzzy two-point boundary value problems based on the Hukuhara differentiability [Volume 11, Issue 3, 2023, Pages 576-588]
  • Fuzzy output blood ow theorem Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure [Volume 9, Issue 4, 2021, Pages 919-939]
  • Fuzzy Sumudu Iterative transform method An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method [Volume 12, Issue 4, 2024, Pages 763-779]
  • Fuzzy Sumudu Transform An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method [Volume 12, Issue 4, 2024, Pages 763-779]
  • Fuzzy Telegraph equations An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method [Volume 12, Issue 4, 2024, Pages 763-779]
  • Fuzzy two-point boundary value problems A method for second-order linear fuzzy two-point boundary value problems based on the Hukuhara differentiability [Volume 11, Issue 3, 2023, Pages 576-588]
  • Fuzzy variable coefficients First order linear fuzzy differential equations with fuzzy variable coefficients [Volume 9, Issue 1, 2021, Pages 1-21]

G

  • Galerkin New exact solutions and numerical approximations of the generalized KdV equation [Volume 9, Issue 3, 2021, Pages 670-691]
  • Galerkin meshless method Stability and numerical approximation for a spacial class of semilinear parabolic equations on the Lipschitz bounded regions: Sivashinsky equation [Volume 7, Issue 4 (Special Issue), 2019, Pages 589-600]
  • Galerkin method Numerical solution of linear control systems using interpolation scaling functions [Volume 4, Issue 2, 2016, Pages 139-150]
  • Galerkin method Solution of Troesch's problem through double exponential Sinc-Galerkin method [Volume 5, Issue 2, 2017, Pages 141-157]
  • Gas-condensate system FLOW OF GAS-CONDENSATE SYSTEM IN A TIME-DEPENDENT DEFORMABLE RESERVOIR WITH ROCK CREEP EFFECT IN THE WELL BOTTOMHOLE ZONE [(Articles in Press)]
  • Gaseous Diffusion (GD) Dynamic Insights into Gaseous Diffusion: Analytical Soliton and Wave Solutions via Chaffee–Infante Equation in Homogeneous Media [(Articles in Press)]
  • Gauss hypergeometric function New generalized special functions with two generalized M-series at their kernels and solution of fractional PDEs via double Laplace transform [Volume 12, Issue 1, 2024, Pages 31-43]
  • Gaussian noise Stability for neutral-type integro-differential neural networks with random switches in noise and delay [Volume 11, Issue 1, 2023, Pages 65-80]
  • Gaussian radial basis functions‎ Stable Gaussian radial basis function method for solving Helmholtz equations [Volume 7, Issue 1, 2019, Pages 138-151]
  • Gauss-Legendre nodes Legendre-collocation spectral solver for variable-order fractional functional differential equations [Volume 8, Issue 1, 2020, Pages 99-110]
  • Gauss-Lobatto nodes Chebyshev finite difference method for solving a mathematical model arising in wastewater treatment plants [Volume 6, Issue 4, 2018, Pages 448-455]
  • Gauss quadrature formula A New Three-Step Optimal Without Memory Iterative Scheme for Solving Non-Linear Equations with Basins of Attraction [(Articles in Press)]
  • Gegenbauer polynomial Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials [Volume 10, Issue 2, 2022, Pages 431-444]
  • Gegenbauer wavelet functions A highly accurate wavelet approach for multi-term variable-order fractional multi-dimensional differential equations [(Articles in Press)]
  • Gelfand-Bratu equation Infinitely smooth multiquadric RBFs combined high-resolution compact discretization for nonlinear 2D elliptic PDEs on a scattered grid network [Volume 11, Issue 4, 2023, Pages 753-775]
  • General decay stability Stability for neutral-type integro-differential neural networks with random switches in noise and delay [Volume 11, Issue 1, 2023, Pages 65-80]
  • Generalized Burger-Huxley equation An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations [Volume 6, Issue 3, 2018, Pages 280-294]
  • Generalized Burgers-Huxley equation Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines [Volume 10, Issue 3, 2022, Pages 686-700]
  • Generalized Caputo proportional fractional derivative Study of p-Laplacian hybrid fractional differential equations involving the generalized Caputo proportional fractional derivative [(Articles in Press)]
  • Generalized differentiability The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space [Volume 5, Issue 3, 2017, Pages 232-245]
  • Generalized Drinfeld-Sokolov Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Generalized eigenvalue problem A higher order orthogonal collocation technique for discontinuous two dimensional problems with Neumann boundary conditions [(Articles in Press)]
  • Generalized Equal Width equation A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation [Volume 12, Issue 3, 2024, Pages 544-560]
  • Generalized fractional derivative Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition [Volume 12, Issue 1, 2024, Pages 89-99]
  • Generalized fractional kinetic equation (GFKE) A Novel Approach to Fractional Kinetic Equations Involving Srivastava Polynomial and Multi-Index Bessel Function [(Articles in Press)]
  • Generalized ( G′/G )-expansion method On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method [Volume 13, Issue 1, 2025, Pages 258-270]
  • Generalized (G′/G)-expansion method Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation [Volume 11, Issue 3, 2023, Pages 564-575]
  • Generalized Hukuhara derivative Numerical methods for m-polar fuzzy initial value problems [Volume 11, Issue 3, 2023, Pages 412-439]
  • Generalized Hukuhara difference Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure [Volume 9, Issue 4, 2021, Pages 919-939]
  • Generalized Hukuhara differentiable Analytical fuzzy solution of the ventricular pressure equation and prediction of the blood pressure [Volume 9, Issue 4, 2021, Pages 919-939]
  • Generalized Jacobi polynomials Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients [Volume 3, Issue 1, 2015, Pages 36-44]
  • Generalized Korteweg-de Vries equation New exact solutions and numerical approximations of the generalized KdV equation [Volume 9, Issue 3, 2021, Pages 670-691]
  • Generalized Mittag-Leffer function On asymptotic stability of Prabhakar fractional differential systems [Volume 4, Issue 4, 2016, Pages 276-284]
  • Generalized Rosenau-Kawahara-RLW equation A numerical study using finite element method for generalized Rosenau-Kawahara-RLW equation [Volume 7, Issue 3, 2019, Pages 319-333]
  • Generalized seventh-order Korteweg-de Vries equation Novel traveling wave solutions of generalized seventh-order KdV equation and related equation [Volume 12, Issue 2, 2024, Pages 392-412]
  • Generalized shift On eigenvalues of generalized shift linear vector isomorphisms [Volume 7, Issue 4 (Special Issue), 2019, Pages 616-620]
  • Generalized solution Generalized Solutions for Conformable Schrödinger Equations with Singular Potentials [(Articles in Press)]
  • Generalized symmetries Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation [Volume 9, Issue 1, 2021, Pages 300-312]
  • Generalized Zakharov-Kuznetsov equation On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method [Volume 13, Issue 1, 2025, Pages 258-270]
  • General linear methods A hybrid method with optimal stability properties for the numerical solution of stiff differential systems [Volume 4, Issue 3, 2016, Pages 217-229]
  • General relativity search algorithm A new methodology to estimate constant elasticity of variance [Volume 9, Issue 4, 2021, Pages 1059-1068]
  • Genocchi numbers Numerical solution of different population balance models using operational method based on Genocchi polynomials [(Articles in Press)]
  • Genocchi polynomials Solving fractional optimal control problems using Genocchi polynomials [Volume 9, Issue 1, 2021, Pages 79-93]
  • Genocchi polynomials Numerical solution of different population balance models using operational method based on Genocchi polynomials [(Articles in Press)]
  • Genral stock model Numerical solution of stochastic models using spectral collocation method [Volume 11, Issue 3, 2023, Pages 630-642]
  • Geometric Brownian motion Stochastic analysis and invariant subspace method for handling option pricing with numerical simulation [Volume 10, Issue 2, 2022, Pages 419-430]
  • Geometric flow Hyperbolic Ricci-Bourguignon flow [Volume 9, Issue 2, 2021, Pages 399-409]
  • GH-differentiability Existence result for fuzzy form of the equation governing unsteady motion of solid particles in fluid medium [(Articles in Press)]
  • GIS Mapping a new system for outdoor GSM signal strength [Volume 7, Issue 4 (Special Issue), 2019, Pages 535-544]
  • Global convergence The modified BFGS method with new secant relation ‎for unconstrained optimization problems‎ [Volume 7, Issue 1, 2019, Pages 28-41]
  • Global iterative methods New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]
  • Globally asymptotically stable SEIaIsQRS EPIDEMIC MODEL FOR COVID-19 BY USING COMPARTMENTAL ANALYSIS AND NUMERICAL SIMULATION [(Articles in Press)]
  • Global meshless method A meshless technique based on the radial basis functions for solving systems of partial differential equations [Volume 10, Issue 2, 2022, Pages 526-537]
  • Global optimization ON THE EFFICIENCY OF ALGORITHM FOR SOLVING COMPLEX QUADRATIC DOUBLE–RATIO MINIMAX OPTIMIZATION PROBLEM [(Articles in Press)]
  • Global stability Backward bifurcation in a two strain model of heroin addiction [Volume 10, Issue 3, 2022, Pages 656-673]
  • Global stability An epidemic model for drug addiction [Volume 10, Issue 4, 2022, Pages 876-893]
  • Gradient almost Ricci solitons Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [Volume 12, Issue 4, 2024, Pages 710-718]
  • Gradient estimates Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [Volume 12, Issue 4, 2024, Pages 710-718]
  • Graph theory A novel hybrid method for solving combined functional neutral differential equations with several delays and investigation of convergence rate via residual function [Volume 7, Issue 3, 2019, Pages 396-417]
  • Green's function Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]
  • Green’s function Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations [Volume 5, Issue 2, 2017, Pages 158-169]
  • Green’s function Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals [Volume 9, Issue 1, 2021, Pages 244-257]
  • Green’s function Existence and properties of positive solutions for Caputo fractional difference equation and applications [Volume 10, Issue 3, 2022, Pages 567-579]
  • Green’s function A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Grobner basis Solving Stiff Systems by using Symbolic - Numerical Method [Volume 8, Issue 2, 2020, Pages 282-293]
  • Group-invariant solution Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter [Volume 8, Issue 1, 2020, Pages 111-118]
  • Group-invariant solution Symmetry analysis and exact solutions of acoustic equation [Volume 8, Issue 3, 2020, Pages 523-536]
  • Group-invariant solution Group-invariant solutions for time-fractional Fornberg-Whitham equation by Lie symmetry analysis [Volume 8, Issue 2, 2020, Pages 251-258]
  • Growing Self-Organizing Map A DYNAMIC NEURO-FUZZY APPROACH FOR PATTERN CLASSIFICATION [(Articles in Press)]
  • GSM Mapping a new system for outdoor GSM signal strength [Volume 7, Issue 4 (Special Issue), 2019, Pages 535-544]
  • Gyrotactic Microorganisms A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid [Volume 11, Issue 4, 2023, Pages 696-715]

H

  • Haar product matrix Numerical inversion of Laplace transform via wavelet in ordinary differential equations [Volume 2, Issue 3, 2014, Pages 186-194]
  • Haar wavelet Numerical inversion of Laplace transform via wavelet in ordinary differential equations [Volume 2, Issue 3, 2014, Pages 186-194]
  • Haar wavelet Numerical solution of variational problems via Haar wavelet quasilinearization technique [Volume 4, Issue 3, 2016, Pages 249-260]
  • Haar wavelet Haar wavelet iteration method for solving time fractional Fisher's equation [Volume 8, Issue 3, 2020, Pages 505-522]
  • Haar wavelet Haar wavelet-based valuation method for pricing European options [Volume 11, Issue 2, 2023, Pages 281-290]
  • Haar wavelet A Study on the Fractional Ebola Virus Model by the Semi-Analytic and Numerical Approach [(Articles in Press)]
  • Haar wavelets Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions [Volume 8, Issue 4, 2020, Pages 610-638]
  • Haar wavelets method Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method [Volume 10, Issue 4, 2022, Pages 1086-1096]
  • Hadamard fractional derivative Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem [Volume 12, Issue 4, 2024, Pages 741-748]
  • Hadamard fractional derivative, Boundary value problem Eigenvalue intervals of parameters for iterative systems of nonlinear Hadamard fractional boundary value problems [Volume 12, Issue 4, 2024, Pages 791-807]
  • HAFF A novel analytical approximation approach for strongly nonlinear oscillation systems based on the energy balance method and He's Frequency-Amplitude formulation [Volume 11, Issue 3, 2023, Pages 464-477]
  • Hahn--Dirac system On the resolvent operator of singular impulsive Hahn--Dirac system [(Articles in Press)]
  • HAM A Study on the Fractional Ebola Virus Model by the Semi-Analytic and Numerical Approach [(Articles in Press)]
  • Hamiltonian amplitude equation COMPUTATIONAL APPLICATIONS BY ITEM AND VARIATIONAL METHOD FOR SOLVING THE HAMILTONIAN AMPLITUDE EQUATION [(Articles in Press)]
  • Hamiltonian boundary value problem An efficient numerical solution for time switching optimal control problems [Volume 9, Issue 1, 2021, Pages 225-243]
  • Hamiltonian equations Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation [Volume 7, Issue 1, 2019, Pages 54-68]
  • Hamiltonian system An application of differential transform method for solving nonlinear optimal control problems [Volume 3, Issue 3, 2015, Pages 200-217]
  • Hammerstein On the numerical treatment and analysis of Hammerstein integral equation [Volume 9, Issue 2, 2021, Pages 493-510]
  • Hammerstein integral equation A new iteration method for solving a class of Hammerstein type integral equations system [Volume 3, Issue 4, 2015, Pages 231-246]
  • Hammerstein integral equation On unique solutions of integral equations by progressive contractions [Volume 13, Issue 1, 2025, Pages 183-189]
  • Hammerstein integral equations On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations [Volume 10, Issue 4, 2022, Pages 1059-1074]
  • Harnack inequalities Quality theorems on the solutions of quasilinear second-order parabolic equations with discontinuous coefficients [Volume 12, Issue 4, 2024, Pages 703-709]
  • Hartmann electric number A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials [Volume 5, Issue 4, 2017, Pages 280-300]
  • Heat and advection-diffusion equations Space-time radial basis function collocation method for one-dimensional advection-diffusion problem [Volume 6, Issue 4, 2018, Pages 426-437]
  • Heat conduction An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions [Volume 4, Issue 4, 2016, Pages 323-334]
  • Heat equation A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Helmholtz equation An efficient high-order compact finite difference method for the Helmholtz equation [Volume 8, Issue 3, 2020, Pages 553-563]
  • Helmholtz equation A higher order orthogonal collocation technique for discontinuous two dimensional problems with Neumann boundary conditions [(Articles in Press)]
  • Hepatitis B virus Numerical treatment and optimal control of Hepatitis B virus spatio-temporal model [(Articles in Press)]
  • Hermite--Birkhoff methods On second derivative 3-stage Hermite--Birkhoff--Obrechkoff methods for stiff ODEs: A-stable up to order 10 with variable stepsize [Volume 5, Issue 4, 2017, Pages 324-347]
  • Hermite cubic splines On the wavelet Galerkin method for solving the fractional Fredholm integro-differential equations [(Articles in Press)]
  • Hermite-Hadamard inequality New midpoint type inequalities for generalized fractional integral [Volume 10, Issue 1, 2022, Pages 93-108]
  • Hermite polynomials Solving Optimal Control Problems by using Hermite polynomials [Volume 8, Issue 2, 2020, Pages 314-329]
  • Hermite wavelets Hermite wavelets method for the numerical solution of linear and nonlinear singular initial and boundary value problems [Volume 7, Issue 2, 2019, Pages 177-198]
  • He's Homotopy Perturbation (HPM) Exact and Iterative Solutions for DEs, Including Fokker-Planck and Newell-Whitehead-Segel Equations, Using Shehu Transform and HPM [(Articles in Press)]
  • Heterogeneous Agent Model‎ A new approach on studying the stability of evolutionary game dynamics for financial systems [Volume 5, Issue 2, 2017, Pages 103-116]
  • High-dimensional classification Using synthetic data and dimensionality reduction in high-dimensional classification via logistic regression [Volume 7, Issue 4 (Special Issue), 2019, Pages 626-634]
  • Higher even-order Integro-Differential Equations Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients [Volume 3, Issue 1, 2015, Pages 36-44]
  • Higher-order Non-polynomial cubic spline method for solution of higher order boundary value problems [Volume 11, Issue 2, 2023, Pages 225-240]
  • Higher order Boussinesq equation Multi-Soliton Solutions to the Generalized Boussinesq Equation of Tenth Order [Volume 11, Issue 4, 2023, Pages 727-737]
  • Higher order Camassa-Holm equation Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • Higher-order elliptic equations Multiple solutions for a fourth-order elliptic equation involving singularity [Volume 9, Issue 3, 2021, Pages 818-829]
  • Higher order KP equation MULTI-SOLITON SOLUTIONS TO THE K-P EQUATION OF TENTH ORDER [(Articles in Press)]
  • High-index eigenvalue Computing high-index eigenvalues for the Sturm-Liouville equation with Robin boundary conditions [(Articles in Press)]
  • High-order accuracy An efficient high-order compact finite difference scheme for Lane-Emden-type equations [Volume 13, Issue 1, 2025, Pages 107-122]
  • High order fractional differential equation To study existence of unique solution and numerically solving for a kind of three-point boundary fractional high-order problem subject to Robin condition [Volume 11, Issue 2, 2023, Pages 332-344]
  • High-order partial differential equations Solving high-order partial differential equations in unbounded domains by means of double exponential second kind Chebyshev approximation [Volume 3, Issue 3, 2015, Pages 147-162]
  • High order sturm-liouville problems An efficient method to approximate eigenvalues and eigenfunctions of high order Sturm-Liouville problems [Volume 8, Issue 2, 2020, Pages 389-400]
  • High resolution schemes A total variation diminishing high resolution scheme for nonlinear conservation laws [Volume 6, Issue 4, 2018, Pages 456-470]
  • Hilbert space Solving multi-order fractional differential equations by reproducing kernel Hilbert space method [Volume 4, Issue 3, 2016, Pages 170-190]
  • Hilfer fractional derivatives Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]
  • HIV Optimal fractional order PID controller performance in chaotic system of HIV disease: particle swarm and genetic algorithms optimization method [Volume 11, Issue 2, 2023, Pages 207-224]
  • HIV-1 model Optimal control of double delayed HIV-1 infection model of fighting a virus with another virus [Volume 9, Issue 3, 2021, Pages 874-885]
  • HIV fuzzy mathematical model Application of fuzzy ABC fractional differential equations in infectious diseases [Volume 12, Issue 1, 2024, Pages 1-15]
  • HIV infection Analysis of time delay model for drug therapy on HIV dynamics [Volume 9, Issue 2, 2021, Pages 577-588]
  • HIV model A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells [Volume 6, Issue 3, 2018, Pages 353-371]
  • H¨older continuity Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems [Volume 10, Issue 3, 2022, Pages 639-655]
  • Holder estimates Holder estimates of solutions degenerate nonlinear parabolic equations [Volume 11, Issue 1, 2023, Pages 197-206]
  • Homogeneous balance method New study to construct new solitary wave solutions for generalized sinh- Gordon equation [Volume 2, Issue 2, 2014, Pages 77-82]
  • Homogeneous balance method Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation [Volume 2, Issue 2, 2014, Pages 115-122]
  • Homogeneous balance method Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation [Volume 3, Issue 2, 2015, Pages 70-86]
  • Homogeneous balance method Unveiling traveling waves and solitons of dirac integrable system via homogenous balance and singular manifolds methods [Volume 13, Issue 1, 2025, Pages 61-72]
  • Homotopic approach An efficient numerical solution for time switching optimal control problems [Volume 9, Issue 1, 2021, Pages 225-243]
  • Homotopy perturbation method A new numerical scheme for solving systems of integro-differential equations [Volume 1, Issue 2, 2013, Pages 108-119]
  • Homotopy perturbation method Asymptotic distributions of Neumann problem for Sturm-Liouville equation [Volume 2, Issue 1, 2014, Pages 19-25]
  • Homotopy perturbation method Solving The Stefan Problem with Kinetics [Volume 2, Issue 1, 2014, Pages 37-49]
  • Homotopy perturbation method The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation [Volume 4, Issue 1, 2016, Pages 43-53]
  • Homotopy perturbation method Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem [Volume 6, Issue 4, 2018, Pages 501-507]
  • Homotopy perturbation method Analytical approximate solution of leptospirosis epidemic model with standard incidence rate [Volume 7, Issue 3, 2019, Pages 370-382]
  • Honeycomb topology A fuzzy-based routing scheme for network-on-chip with honeycomb topology [Volume 7, Issue 4 (Special Issue), 2019, Pages 511-520]
  • Hopf Bifurcation Threshold harvesting policy and delayed ratio-dependent functional response predator-prey model [Volume 4, Issue 1, 2016, Pages 1-18]
  • Hopf Bifurcation Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]
  • Hopf Bifurcation Dynamics of a predator-prey system with prey refuge [Volume 7, Issue 3, 2019, Pages 454-474]
  • Hopf Bifurcation Global dynamics and numerical bifurcation of a bioeconomic system [Volume 9, Issue 2, 2021, Pages 427-445]
  • Hopf Bifurcation Stability and bifurcation of fractional tumor-immune model with time delay [Volume 9, Issue 3, 2021, Pages 692-709]
  • Hopf Bifurcation Analysis of time delay model for drug therapy on HIV dynamics [Volume 9, Issue 2, 2021, Pages 577-588]
  • Hopf Bifurcation Hopf bifurcation and Turing instability in a cross-diffusion prey-predator system with group defense behavior [Volume 13, Issue 1, 2025, Pages 294-306]
  • Hopf Bifurcation A nonlinear mathematical model of the delayed predator-prey system that includes the factors of intraspecific rivalry among predator species, the fear effect, and the Holling type-IV functional response [(Articles in Press)]
  • Hopf Bifurcation Dynamics and bifurcation control of a fractional-order delayed predator–prey model with an omnivore [(Articles in Press)]
  • Hopf Bifurcation Hopf Bifurcation and Chaotic Attractors in Two Special Jerk System Cases [(Articles in Press)]
  • Hopfield neural networks Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks [Volume 12, Issue 1, 2024, Pages 136-148]
  • HSV A NOVEL FRAMEWORK FOR BREAST CANCER SCORING BASED ON MACHINE LEARNING TECHNIQUE USING IMMUNOHISTOCHEMISTRY IMAGES [(Articles in Press)]
  • Hukuhara difference Interval structure of Runge-Kutta methods for solving optimal control problems with uncertainties [Volume 7, Issue 2, 2019, Pages 235-251]
  • Hukuhara differentiability A method for second-order linear fuzzy two-point boundary value problems based on the Hukuhara differentiability [Volume 11, Issue 3, 2023, Pages 576-588]
  • Hybrid differential equation Study of p-Laplacian hybrid fractional differential equations involving the generalized Caputo proportional fractional derivative [(Articles in Press)]
  • Hybrid function Numerical analysis of fractional differential equation by TSI-wavelet method [Volume 9, Issue 3, 2021, Pages 659-669]
  • Hybrid functions Hybrid collocation method for some classes of second-kind nonlinear weakly singular integral equations [Volume 11, Issue 1, 2023, Pages 183-196]
  • Hybrid functions Jacobi wavelets method for numerical solution of fractional population growth model [Volume 11, Issue 2, 2023, Pages 387-398]
  • Hybrid functions A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions [Volume 11, Issue 2, 2023, Pages 241-253]
  • Hybrid functions An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Hybrid initial value problem On using topological degree theory to investigate a coupled system of non linear hybrid differential equations [Volume 7, Issue 2, 2019, Pages 224-234]
  • Hybrid of block-pulse function Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials [Volume 1, Issue 2, 2013, Pages 78-95]
  • Hybrid scheme A second order numerical scheme for solving mixed type boundary value problems involving singular perturbation [Volume 11, Issue 4, 2023, Pages 822-833]
  • Hyers-Ulam stability Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays [Volume 10, Issue 1, 2022, Pages 191-199]
  • Hyers-Ulams(UH) stability Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem [Volume 9, Issue 4, 2021, Pages 1042-1058]
  • Hyer-Ulam Stability HYERS-ULAM AND EXPONENTIAL STABILITIES OF AUTONOMOUS AND NON-AUTONOMOUS DIFFERENCE EQUATIONS [(Articles in Press)]
  • Hyperbolic and parabolic contours On the numerical approximation of Volterra integro-differential equation using Laplace transform [Volume 8, Issue 2, 2020, Pages 305-313]
  • Hyperbolic equation Hyperbolic Ricci-Bourguignon flow [Volume 9, Issue 2, 2021, Pages 399-409]
  • Hyperbolic partial differential equation Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]
  • Hyperbolic partial differential equation Inverse coefficient problem in hyperbolic partial differential equations: An analytical and computational exploration [Volume 12, Issue 2, 2024, Pages 304-313]
  • Hyperbolic telegraph equation Numerical solution of the hyperbolic telegraph equation using cubic B-spline-based differential quadrature of high accuracy [Volume 10, Issue 4, 2022, Pages 837-859]

I

  • Ill-posed problems Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem [Volume 7, Issue 3, 2019, Pages 434-453]
  • Image Denoising A denoising PDE model based on isotropic diffusion and total variation models [Volume 8, Issue 4, 2020, Pages 815-826]
  • Image Denoising PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity [Volume 9, Issue 4, 2021, Pages 1100-1108]
  • Images Denoising An anomalous diffusion approach for speckle noise reduction in medical ultrasound images [Volume 10, Issue 1, 2022, Pages 225-235]
  • Implicit fractional differential equations Impulsive initial value problems for a class of implicit fractional differential equations [Volume 8, Issue 1, 2020, Pages 141-154]
  • Implicit fuzzy integro-differential equation The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space [Volume 5, Issue 3, 2017, Pages 232-245]
  • Implicit ingegro-differential equation Existence result for fuzzy form of the equation governing unsteady motion of solid particles in fluid medium [(Articles in Press)]
  • Implicit method Shortest Path Problem With Ordinary Differential Equations Constrained [Volume 8, Issue 4, 2020, Pages 661-672]
  • Implicit method Finite-difference method for Hygrothermoelastic boundary value problem [Volume 13, Issue 1, 2025, Pages 157-168]
  • Improved tanh(ϕ/2)-expansion method Some new soliton solutions for the nonlinear the fifth-order integrable equations [Volume 10, Issue 2, 2022, Pages 445-460]
  • Improved tan(ϕ/2)-expansion method Exact solutions of the combined Hirota-LPD equation with variable coefficients [Volume 9, Issue 1, 2021, Pages 94-116]
  • Improved tan (Φ(ξ)/2)-expansion method APPLICATION OF tan(ϕ/2)-EXPANSION METHOD FOR SOLVING THE FRACTIONAL BISWAS-MILOVIC EQUATION FOR KERR LAW NONLINEARITY [(Articles in Press)]
  • Improved tan(ϕ(ξ)/2)-expansion method COMPUTATIONAL APPLICATIONS BY ITEM AND VARIATIONAL METHOD FOR SOLVING THE HAMILTONIAN AMPLITUDE EQUATION [(Articles in Press)]
  • Impulses Impulsive initial value problems for a class of implicit fractional differential equations [Volume 8, Issue 1, 2020, Pages 141-154]
  • Incidence Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach (R1) [Volume 13, Issue 1, 2025, Pages 123-141]
  • Incomplete $\aleph$-function Impact of Fractional Order on Reaction Rates: Solutions to Kinetic Equations with Incomplete $leph$-Function [(Articles in Press)]
  • Incomplete gamma function Srivastava-Luo-Raina M-transform involving the incomplete I-functions [Volume 12, Issue 1, 2024, Pages 159-172]
  • Incomplete H-functions Generalization of Katugampola fractional kinetic equation involving incomplete H-function [Volume 12, Issue 4, 2024, Pages 842-856]
  • Incomplete $I$-functions Srivastava-Luo-Raina M-transform involving the incomplete I-functions [Volume 12, Issue 1, 2024, Pages 159-172]
  • Incompressible flow Numerical analysis of fluid flow behaviour in two sided deep lid driven cavity using the finite volume technique [Volume 10, Issue 4, 2022, Pages 986-1006]
  • Increasing dimension Statistical inference for Functional data: two sample Behrens-Fisher problem [Volume 7, Issue 4 (Special Issue), 2019, Pages 608-615]
  • Increasing processes Some Results on Reflected Forward-Backward Stochastic differential equations [Volume 8, Issue 3, 2020, Pages 480-492]
  • Indoor Positioning A NEW ALGORITHM FOR INDOOR ROBOT LOCALIZATION USING TURNING FUNCTION [(Articles in Press)]
  • Inequality constraint Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Infectious diseases models, Fractional Derivatives, Laplace transform , Adomian decomposi- tion method Numerical analysis of fractional order model of HIV-1 infection of CD4+ T-cells [Volume 5, Issue 1, 2017, Pages 1-11]
  • Infinite delay Stability in distribution of neutral stochastic functional differential equations with infinite delay [Volume 9, Issue 2, 2021, Pages 604-622]
  • Infinitely many conservation laws Infinitely many conservation laws, multi-wave solutions and interaction for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations [(Articles in Press)]
  • Infinitesimal Generators Lie symmetry analysis for Kawahara-KdV equations [Volume 1, Issue 2, 2013, Pages 135-145]
  • Initial value problem 2-stage explicit total variation diminishing preserving Runge-Kutta methods [Volume 1, Issue 1, 2013, Pages 30-38]
  • Initial value problem Impulsive initial value problems for a class of implicit fractional differential equations [Volume 8, Issue 1, 2020, Pages 141-154]
  • Initial value problem An interval version of the Kuntzmann-Butcher method for solving the initial value problem [Volume 10, Issue 1, 2022, Pages 44-60]
  • Initial value problem Numerical methods for m-polar fuzzy initial value problems [Volume 11, Issue 3, 2023, Pages 412-439]
  • Initial value problem Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations [Volume 11, Issue 3, 2023, Pages 440-463]
  • Installment option Valuation of installment option by penalty method [Volume 3, Issue 4, 2015, Pages 298-310]
  • Insulated tip A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]
  • Integer Factorization Algorithm and Differential Equations A Comprehensive Review on Quantum Computing and Algorithms [(Articles in Press)]
  • Integral Boundary Condition On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter [Volume 9, Issue 4, 2021, Pages 1001-1012]
  • Integral Boundary Condition Fitted mesh numerical scheme for singularly perturbed delay reaction diffusion problem with integral boundary condition [Volume 11, Issue 3, 2023, Pages 478-494]
  • Integral Boundary Condition Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem [Volume 12, Issue 4, 2024, Pages 741-748]
  • Integral boundary conditions On the existence of positive solutions for a non-autonomous fractional differential equation with integral boundary conditions [Volume 9, Issue 1, 2021, Pages 36-51]
  • Integral boundary conditions A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions [Volume 11, Issue 2, 2023, Pages 241-253]
  • Integral boundary conditions A new Bernstein-reproducing kernel method for solving forced Duffing equations with integral boundary conditions [Volume 12, Issue 2, 2024, Pages 329-337]
  • Integral boundary conditions FITTED MESH CUBIC SPLINE TENSION METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITION [(Articles in Press)]
  • Integral equation An efficient numerical approach for solving nonlinear Volterra integral equations [Volume 11, Issue 3, 2023, Pages 615-629]
  • Integral equation Solving Abel’s equations with the shifted Legendre polynomials [Volume 11, Issue 4, 2023, Pages 865-875]
  • Integral equations An efficient technique based on the HAM with Green's function for a class of nonlocal elliptic boundary value problems [Volume 9, Issue 3, 2021, Pages 722-735]
  • Integral sliding mode LQR Technique Based SMC Design for a Class of Uncertain Time-delay Conic Nonlinear Systems [(Articles in Press)]
  • Integration schemes On traveling wave solutions: the decoupled nonlinear Schrödinger equations with inter modal dispersion [Volume 9, Issue 1, 2021, Pages 52-62]
  • Integro-differential equation Spectral solution of fractional fourth order partial integro-differential equations [Volume 7, Issue 2, 2019, Pages 289-301]
  • Integro-differential equation Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions [Volume 12, Issue 3, 2024, Pages 438-453]
  • Integro-differential equations Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations [Volume 2, Issue 4, 2014, Pages 268-282]
  • Integrodifferential equations Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays [Volume 10, Issue 1, 2022, Pages 191-199]
  • Integro–partial differential equations Finite element solution of a class of parabolic integro-differential equations with inhomogeneous jump conditions using FreeFEM++ [Volume 12, Issue 2, 2024, Pages 314-328]
  • Interface Finite element solution of a class of parabolic integro-differential equations with inhomogeneous jump conditions using FreeFEM++ [Volume 12, Issue 2, 2024, Pages 314-328]
  • Interface methods A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients [Volume 1, Issue 1, 2013, Pages 1-15]
  • Internet of Things (IoT) A priority-based service placement policy for Fog-Cloud computing systems [Volume 7, Issue 4 (Special Issue), 2019, Pages 521-534]
  • Interpolating IMLS approximation Interpolating MLPG method to investigate predator-prey population dynamic with complex characters [(Articles in Press)]
  • Interpolating scaling functions Numerical solution of linear control systems using interpolation scaling functions [Volume 4, Issue 2, 2016, Pages 139-150]
  • Interpolating wavelets An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Interval analysis Interval structure of Runge-Kutta methods for solving optimal control problems with uncertainties [Volume 7, Issue 2, 2019, Pages 235-251]
  • Interval analysis‎ Interval extensions of the Halley method and its modified method for finding enclosures of roots of nonlinear equations [Volume 8, Issue 2, 2020, Pages 222-235]
  • Interval arithmetic Bounding error of calculating the matrix functions [Volume 10, Issue 1, 2022, Pages 259-273]
  • Interval arithmetic Optimal control of fractional differential equations with interval uncertainty [(Articles in Press)]
  • Interval decomposition method An interval chaos insight to iterative decomposition method for Rossler differential equation by considering stable uncertain coefficients [Volume 10, Issue 4, 2022, Pages 1115-1122]
  • Interval fractional calculus Optimal control of fractional differential equations with interval uncertainty [(Articles in Press)]
  • Interval fractional integrodifferential equations Interval fractional integrodifferential equations without singular kernel by fixed point in partially ordered sets [Volume 5, Issue 1, 2017, Pages 12-29]
  • Interval iterative method Optimal control of fractional differential equations with interval uncertainty [(Articles in Press)]
  • Interval optimal control problems Optimal control of fractional differential equations with interval uncertainty [(Articles in Press)]
  • Interval systems of linear algebraic equations Extrapolated triangular splitting method to interval system of linear algebraic equations [Volume 11, Issue 4, 2023, Pages 738-752]
  • Intracellular delay Optimal control of double delayed HIV-1 infection model of fighting a virus with another virus [Volume 9, Issue 3, 2021, Pages 874-885]
  • Invariance equation Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Invariant manifolds Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Invariant solutions Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type [Volume 12, Issue 4, 2024, Pages 638-650]
  • Invariant subspace method Application of the invariant subspace method in conjunction with the fractional Sumudu’s transform to a nonlinear conformable time-fractional dispersive equation of the fifth order [Volume 7, Issue 3, 2019, Pages 359-369]
  • Invasion A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • Inverse Laplace transform Numerical inversion of Laplace transform via wavelet in ordinary differential equations [Volume 2, Issue 3, 2014, Pages 186-194]
  • Inverse nodal problem Inverse nodal problem for p-Laplacian with two potential functions [Volume 6, Issue 1, 2018, Pages 19-29]
  • Inverse nodal problem The numerical values of the nodal points for the Sturm-Liouville equation with one turning point [Volume 7, Issue 1, 2019, Pages 124-137]
  • Inverse of Complex SEE transform The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • Inverse problem Unknown functions estimation in a parabolic equation arises from Diffusion Tensor Magnetic Resonance Imaging [Volume 7, Issue 3, 2019, Pages 383-395]
  • Inverse problem An ABC algorithm based approach to solve a nonlinear inverse reaction-diffusion problem associate with the ecological invasions [Volume 11, Issue 1, 2023, Pages 143-160]
  • Inverse problem Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]
  • Inverse problem Direct and inverse problems of ROD equation using finite element method and a correction technique [Volume 12, Issue 4, 2024, Pages 651-668]
  • Inverse problems Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem [Volume 7, Issue 3, 2019, Pages 434-453]
  • Inverse source problem A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Inverse Sturm-Liouville problem Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]
  • Inverse Sturm-Liouville problems Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals [Volume 9, Issue 1, 2021, Pages 244-257]
  • Isomorphism On eigenvalues of generalized shift linear vector isomorphisms [Volume 7, Issue 4 (Special Issue), 2019, Pages 616-620]
  • Isotropic Diffusion A denoising PDE model based on isotropic diffusion and total variation models [Volume 8, Issue 4, 2020, Pages 815-826]
  • Iterative method A new iteration method for solving a class of Hammerstein type integral equations system [Volume 3, Issue 4, 2015, Pages 231-246]
  • Iterative method On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations [Volume 10, Issue 4, 2022, Pages 1059-1074]
  • Iterative method A New Three-Step Optimal Without Memory Iterative Scheme for Solving Non-Linear Equations with Basins of Attraction [(Articles in Press)]
  • Iterative methods Constructing an efficient multi-step iterative scheme for nonlinear system of equations [Volume 9, Issue 3, 2021, Pages 710-721]
  • Iterative methods Mixed reproducing kernel-based iterative approach for nonlinear boundary value problems with nonlocal conditions [Volume 9, Issue 3, 2021, Pages 649-658]
  • Iterative methods A generalized adaptive Monte Carlo algorithm based on a two-step iterative method for linear systems and its application to option pricing [Volume 12, Issue 4, 2024, Pages 687-702]
  • Iterative system An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems [Volume 9, Issue 4, 2021, Pages 940-958]
  • Ito formula Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • It^o integral Solving Ito integral equations with time delay via basis functions [Volume 8, Issue 2, 2020, Pages 268-281]
  • Ito integral A wavelet method for stochastic Volterra integral equations and its application to general stock model [Volume 5, Issue 2, 2017, Pages 170-188]
  • Itˆo-Taylor expansion Mean-square stability of a constructed Third-order stochastic Runge–Kutta schemes for general stochastic differential equations [Volume 10, Issue 3, 2022, Pages 617-638]
  • Ivancevic option pricing model Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques [Volume 12, Issue 2, 2024, Pages 207-225]

J

  • Jacobian Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • Jacobi elliptic and hyperbolic function solutions On the travelling wave solutions of Ostrovsky equation [Volume 8, Issue 2, 2020, Pages 401-407]
  • Jacobi equation Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c) [Volume 7, Issue 2, 2019, Pages 199-205]
  • Jacobi polynomials Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method [Volume 11, Issue 1, 2023, Pages 81-94]
  • Jacobi polynomials Jacobi wavelets method for numerical solution of fractional population growth model [Volume 11, Issue 2, 2023, Pages 387-398]
  • Jerk system Hopf Bifurcation and Chaotic Attractors in Two Special Jerk System Cases [(Articles in Press)]
  • Jump conditions A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients [Volume 1, Issue 1, 2013, Pages 1-15]
  • Jump conditions Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]
  • Jump-diffusion process Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]

K

  • K(2 Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics [Volume 13, Issue 1, 2025, Pages 1-12]
  • Kadomtsev-Petviashvili eqaution On the stability analysis and the solitonic wave structures for the Fordy-Gibbons-Jimbo-Miwa equation [(Articles in Press)]
  • Kaucher interval arithmetic Extrapolated triangular splitting method to interval system of linear algebraic equations [Volume 11, Issue 4, 2023, Pages 738-752]
  • Kawahara-KdV equation Lie symmetry analysis for Kawahara-KdV equations [Volume 1, Issue 2, 2013, Pages 135-145]
  • Kawaharara equation A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types [Volume 11, Issue 4, 2023, Pages 803-810]
  • K-condensing, Existence of fixed point without compactness theorem On using topological degree theory to investigate a coupled system of non linear hybrid differential equations [Volume 7, Issue 2, 2019, Pages 224-234]
  • KdV Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics [Volume 13, Issue 1, 2025, Pages 1-12]
  • KdV equation Application of linear combination between cubic B-spline collocation methods with different basis for solving the KdV equation [Volume 4, Issue 3, 2016, Pages 191-204]
  • KdV equation Multi-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation [Volume 7, Issue 1, 2019, Pages 86-95]
  • KdV equation A numerical method for KdV equation using rational radial basis functions [Volume 11, Issue 2, 2023, Pages 303-318]
  • KdV equations A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types [Volume 11, Issue 4, 2023, Pages 803-810]
  • Keller-Box scheme Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme [Volume 12, Issue 3, 2024, Pages 425-437]
  • Kernel-Based Method Analysis of a kernel-based method for some pricing financial options [Volume 12, Issue 1, 2024, Pages 16-30]
  • Kernel density estimation Kernel density estimation applications in vessel extraction for MRA images [Volume 13, Issue 1, 2025, Pages 190-200]
  • Kernel, Fixed-point theorems, Positive solution Eigenvalue intervals of parameters for iterative systems of nonlinear Hadamard fractional boundary value problems [Volume 12, Issue 4, 2024, Pages 791-807]
  • Kernel functions A higher order kernel approach for linear fourth order boundary value problems [(Articles in Press)]
  • Khasiminskii condition A modi fied split-step truncated Euler-Maruyama method for SDEs with non-globally Lipschitz continuous coefficients [Volume 11, Issue 3, 2023, Pages 522-534]
  • Killing symmetry‎ Symmetries and conservation laws of the Berger metric on a squashed three-sphere [(Articles in Press)]
  • Kinetic equation Impact of Fractional Order on Reaction Rates: Solutions to Kinetic Equations with Incomplete $leph$-Function [(Articles in Press)]
  • Kirchhoff-double phase sytems Some existence and nonexistence results for a class of Kirchhoff-double phase systems in bounded domains [(Articles in Press)]
  • Kirchhoff type problems Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities [Volume 9, Issue 2, 2021, Pages 589-603]
  • Klein-Gordon equation of fractional order Solution of time-fractional equations via Sumudu-Adomian decomposition method [Volume 11, Issue 2, 2023, Pages 345-356]
  • K(p Approximate analytic compacton solutions of the K(p, p) equation by reduced differential transform method [Volume 8, Issue 4, 2020, Pages 827-839]
  • Krasnoselskii fixed point theorem Existence of solution for nonlinear integral inclusions [Volume 10, Issue 1, 2022, Pages 215-224]
  • Kronecker product Error analysis and Kronecker implementation of Chebyshev spectral collocation method for solving linear PDEs [Volume 10, Issue 4, 2022, Pages 914-927]
  • Krylov subspace methods Solving large systems arising from fractional models by preconditioned methods [Volume 3, Issue 4, 2015, Pages 258-273]
  • Kudryashov Solitary waves with two new nonlocal boussinesq types equations using a couple of integration schemes [Volume 12, Issue 4, 2024, Pages 749-762]
  • Kudryashov method Application of the Kudryashov method and the functional variable method for the complex KdV equation [Volume 2, Issue 1, 2014, Pages 50-55]
  • Kundu-Eckhaus equation Exact travelling wave solutions for some complex nonlinear partial differential equations [Volume 2, Issue 1, 2014, Pages 11-18]
  • Kuntzmann-Butcher method An interval version of the Kuntzmann-Butcher method for solving the initial value problem [Volume 10, Issue 1, 2022, Pages 44-60]

L

  • L1 scheme Non-uniform L1/DG method for one-dimensional time-fractional convection equation [Volume 9, Issue 4, 2021, Pages 1069-1082]
  • L2-Transform L2-transforms for boundary value problems [Volume 6, Issue 2, 2018, Pages 176-185]
  • Lagrange multiplier method Interval structure of Runge-Kutta methods for solving optimal control problems with uncertainties [Volume 7, Issue 2, 2019, Pages 235-251]
  • Lagrange multipliers Numerical solution of optimal control problem for economic growth model using RBF collocation method [Volume 10, Issue 2, 2022, Pages 327-337]
  • Lagrange multipliers method Solving a class of fractional optimal control problems via a new efficient and accurate method [Volume 9, Issue 2, 2021, Pages 480-492]
  • Lagrange polynomials Numerical study of the non-linear time fractional Klein-Gordon equation using the Pseudo-spectral Method [(Articles in Press)]
  • Laguerre collocation method A Laguerre approach for solving of the systems of linear differential equations and residual improvement [Volume 9, Issue 2, 2021, Pages 553-576]
  • Laguerre equation Factorization method for fractional Schrödinger equation in D-dimensional fractional space and homogeneous manifold SL(2,c)/GL(1,c) [Volume 7, Issue 2, 2019, Pages 199-205]
  • Laguerre polynomials A Laguerre approach for solving of the systems of linear differential equations and residual improvement [Volume 9, Issue 2, 2021, Pages 553-576]
  • Lane-Emden equation A Computational Method for Solving the Lane-Emden Initial Value Problems [Volume 8, Issue 4, 2020, Pages 673-684]
  • Lane-Emden equation NUMERICAL STUDY OF ASTROPHYSICS EQUATIONS USING BESSEL COLLOCATION METHODS OF FIRST KIND [(Articles in Press)]
  • Lane-Emden equations New Solutions for Singular Lane-Emden Equations Arising in Astrophysics Based on Shifted Ultraspherical Operational Matrices of Derivatives [Volume 2, Issue 3, 2014, Pages 171-185]
  • Lane-Emden equations An efficient high-order compact finite difference scheme for Lane-Emden-type equations [Volume 13, Issue 1, 2025, Pages 107-122]
  • Lane-Emden type equations Laguerre collocation method for solving Lane-Emden type equations [Volume 9, Issue 4, 2021, Pages 1176-1197]
  • Laplace Decomposition Method Numerical solution of time-dependent foam drainage equation (FDE) [Volume 3, Issue 2, 2015, Pages 111-122]
  • Laplace-Padé method A novel hybrid method for solving combined functional neutral differential equations with several delays and investigation of convergence rate via residual function [Volume 7, Issue 3, 2019, Pages 396-417]
  • Laplace transform Inverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems [Volume 2, Issue 1, 2014, Pages 56-61]
  • Laplace transform Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs [Volume 5, Issue 3, 2017, Pages 246-255]
  • Laplace transform L2-transforms for boundary value problems [Volume 6, Issue 2, 2018, Pages 176-185]
  • Laplace transform A new operational matrix of Muntz-Legendre polynomials and Petrov-Galerkin method for solving fractional Volterra-Fredholm integro-differential equations [Volume 8, Issue 3, 2020, Pages 408-423]
  • Laplace transform Application of cubic B-spline quasi-interpolation for solving timefractional partial differential equation [Volume 8, Issue 4, 2020, Pages 781-793]
  • Laplace transform Conformable double Laplace transform method for solving conformable fractional partial differential equations [Volume 9, Issue 3, 2021, Pages 908-918]
  • Laplace transform A Novel Approach to Fractional Kinetic Equations Involving Srivastava Polynomial and Multi-Index Bessel Function [(Articles in Press)]
  • Laplace transform Numerical solution of stochastic fractional integro-differential/ Itô-Volterra integral equations via fractional Genocchi wavelets [(Articles in Press)]
  • Laplace transform Impact of Fractional Order on Reaction Rates: Solutions to Kinetic Equations with Incomplete $leph$-Function [(Articles in Press)]
  • Laplace Transforms On the numerical approximation of Volterra integro-differential equation using Laplace transform [Volume 8, Issue 2, 2020, Pages 305-313]
  • Laplace transform variational iteration method Contaminant transportation modeling with time dependent dispersion [Volume 11, Issue 3, 2023, Pages 605-614]
  • Laplacian operator Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem [Volume 9, Issue 4, 2021, Pages 1042-1058]
  • Large-scale satellite images Comparison of feature-based algorithms for large-scale satellite image matching [Volume 13, Issue 1, 2025, Pages 142-156]
  • Lax pair Infinitely many conservation laws, multi-wave solutions and interaction for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations [(Articles in Press)]
  • Lax pairs Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension [Volume 3, Issue 2, 2015, Pages 134-146]
  • Lax-Wendroff method A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients [Volume 1, Issue 1, 2013, Pages 1-15]
  • Least Deviations SOLVING THE OPTIMIZING PARAMETERS PROBLEM FOR NON-LINEAR DATASETS USING THE HIGH-ORDER GENERAL LEAST DEVIATIONS METHOD (GLDM) ALGORITHM [(Articles in Press)]
  • Least square method A numerical scheme for solving time-fractional Bessel differential equations [Volume 10, Issue 4, 2022, Pages 1097-1114]
  • Leave-One-Out Cross Validation Choosing the best value of shape parameter in radial basis functions by Leave-P-Out Cross Validation [Volume 11, Issue 1, 2023, Pages 108-129]
  • Leave-Two-Out Cross Validation Choosing the best value of shape parameter in radial basis functions by Leave-P-Out Cross Validation [Volume 11, Issue 1, 2023, Pages 108-129]
  • Legendre collocation method Application of high-order spectral method for the time fractional mobile/immobile equation [Volume 4, Issue 4, 2016, Pages 309-322]
  • Legendre polynomials Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Legendre polynomials A numerical technique for solving a class of 2D variational problems using Legendre spectral method [Volume 6, Issue 4, 2018, Pages 471-482]
  • Legendre polynomials On a novel modification of the Legendre collocation method for solving fractional diffusion equation [Volume 7, Issue 3, 2019, Pages 480-496]
  • Legendre polynomials Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem [Volume 7, Issue 4 (Special Issue), 2019, Pages 580-588]
  • Legendre polynomials Approximate price of the option under discretization by applying fractional quadratic interpolation [Volume 10, Issue 4, 2022, Pages 1075-1085]
  • Legendre polynomials A numerical method for solving the Duffing equation involving both integral and non-integral forcing terms with separated and integral boundary conditions [Volume 11, Issue 2, 2023, Pages 241-253]
  • Legendre wavelet The Legendre Wavelet Method for Solving Singular Integro-differential Equations [Volume 2, Issue 2, 2014, Pages 62-68]
  • Legendre wavelets Solving a class of fractional optimal control problems via a new efficient and accurate method [Volume 9, Issue 2, 2021, Pages 480-492]
  • Legendre wavelets An effective Legendre wavelet technique for the time-fractional Fisher equation [(Articles in Press)]
  • Legendre wavelets ON THE NUMERICAL SOLUTION OF BAGLEY-TORVIK EQUATION USING THE M ¨UNTZ-LEGENDRE WAVELET COLLOCATION METHOD [(Articles in Press)]
  • Leptospirosis Analytical approximate solution of leptospirosis epidemic model with standard incidence rate [Volume 7, Issue 3, 2019, Pages 370-382]
  • Levy noise Stability for neutral-type integro-differential neural networks with random switches in noise and delay [Volume 11, Issue 1, 2023, Pages 65-80]
  • Lid-driven cavity Numerical analysis of fluid flow behaviour in two sided deep lid driven cavity using the finite volume technique [Volume 10, Issue 4, 2022, Pages 986-1006]
  • Lie infinitesimals Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model [Volume 12, Issue 3, 2024, Pages 561-570]
  • Lie point symmetry A new method for constructing exact solutions for a time-fractional differential equation [Volume 8, Issue 1, 2020, Pages 194-204]
  • Lie point symmetry Exact solutions and numerical simulations of time-fractional Fokker-Plank equation for special stochastic process [Volume 9, Issue 1, 2021, Pages 258-272]
  • Lie Subalgebras Exact solutions of diffusion equation on sphere [Volume 10, Issue 3, 2022, Pages 789-798]
  • Lie symmetries Lie symmetry analysis for Kawahara-KdV equations [Volume 1, Issue 2, 2013, Pages 135-145]
  • Lie symmetries Exact solutions and numerical simulation for Bakstein-Howison model [Volume 10, Issue 2, 2022, Pages 461-474]
  • Lie symmetry Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation [Volume 7, Issue 1, 2019, Pages 54-68]
  • Lie symmetry Symmetry analysis and exact solutions of acoustic equation [Volume 8, Issue 3, 2020, Pages 523-536]
  • Lie symmetry Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • Lie symmetry analysis Group-invariant solutions for time-fractional Fornberg-Whitham equation by Lie symmetry analysis [Volume 8, Issue 2, 2020, Pages 251-258]
  • Lie symmetry analysis Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation [Volume 10, Issue 3, 2022, Pages 608-616]
  • Lie symmetry analysis Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Lie symmetry analysis On the dynamics of newly generated analytical solutions and conserved vectors of a generalized 3D KP-BBM equation [(Articles in Press)]
  • Lie symmetry analysis Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type [Volume 12, Issue 4, 2024, Pages 638-650]
  • Lie-Trotter splitting A new application for numerical computations of the modified equal width equation (MEW) based on Lumped Galerkin method with the cubic B-spline [Volume 11, Issue 1, 2023, Pages 95-107]
  • Lie-Trotter splitting A new perspective for the Quintic B-spline collocation method via the Lie-Trotter splitting algorithm to solitary wave solutions of the GEW equation [Volume 12, Issue 3, 2024, Pages 544-560]
  • Lifetime Solving some stochastic differential equation using Dirichlet distributions [Volume 9, Issue 2, 2021, Pages 393-398]
  • Likelihood function A new methodology to estimate constant elasticity of variance [Volume 9, Issue 4, 2021, Pages 1059-1068]
  • Limit cycle Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]
  • Limit cycle Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics [(Articles in Press)]
  • Limit cycles Dynamics of a predator-prey system with prey refuge [Volume 7, Issue 3, 2019, Pages 454-474]
  • Limit points Hermite wavelets method for the numerical solution of linear and nonlinear singular initial and boundary value problems [Volume 7, Issue 2, 2019, Pages 177-198]
  • Linear B-spline Linear B-spline finite element Method for solving delay reaction diffusion equation [Volume 11, Issue 1, 2023, Pages 161-174]
  • Linear control systems Numerical solution of linear control systems using interpolation scaling functions [Volume 4, Issue 2, 2016, Pages 139-150]
  • Linear differential equations Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]
  • Linear fractional derivative system Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations [Volume 8, Issue 1, 2020, Pages 212-221]
  • Linear fuzzy differential equations Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations [Volume 11, Issue 3, 2023, Pages 440-463]
  • Linear matrix inequalities (LMI) On the solving of matrix equation of Sylvester type [Volume 7, Issue 1, 2019, Pages 96-104]
  • Linear Partial differential equations Error analysis and Kronecker implementation of Chebyshev spectral collocation method for solving linear PDEs [Volume 10, Issue 4, 2022, Pages 914-927]
  • Linear quadratic regulator LQR Technique Based SMC Design for a Class of Uncertain Time-delay Conic Nonlinear Systems [(Articles in Press)]
  • Linear time delay system Stabilization of linear systems of delay differential equations by the delayed feedback method [Volume 7, Issue 2, 2019, Pages 302-318]
  • Line search methods An efficient improvement of the Newton method for solving nonconvex optimization problems [Volume 7, Issue 1, 2019, Pages 69-85]
  • Lipschitz condition Existence and Uniqueness Theorems for Fractional Differential Equations with Proportional Delay [(Articles in Press)]
  • LKF On the existence of periodic solutions of third order delay differential equations [Volume 11, Issue 2, 2023, Pages 319-331]
  • LKF Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • Local and global stability Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]
  • Local error estimation Nordsieck representation of high order predictor-corrector Obreshkov methods and their implementation [Volume 7, Issue 1, 2019, Pages 16-27]
  • Local existence Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay [Volume 9, Issue 2, 2021, Pages 623-636]
  • Local fractional calculus An accurate method for nonlinear local fractional Wave-Like equations with variable coefficients [Volume 9, Issue 3, 2021, Pages 774-787]
  • Localized Meshfree Method An anomalous diffusion approach for speckle noise reduction in medical ultrasound images [Volume 10, Issue 1, 2022, Pages 225-235]
  • Local Lipschitz condition A modi fied split-step truncated Euler-Maruyama method for SDEs with non-globally Lipschitz continuous coefficients [Volume 11, Issue 3, 2023, Pages 522-534]
  • Local M-fractional integral Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • Local radial basis function A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions [Volume 10, Issue 4, 2022, Pages 969-985]
  • Local weak formulation Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • Lockdown Analysis of quarantine and liberate effects on viral infection using SEIR and Caputo $ lpha $-fractional-order model [(Articles in Press)]
  • Logarithmic nonlinearity Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay [Volume 9, Issue 2, 2021, Pages 623-636]
  • Logistic regression classifier Using synthetic data and dimensionality reduction in high-dimensional classification via logistic regression [Volume 7, Issue 4 (Special Issue), 2019, Pages 626-634]
  • Longitudinal fin A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]
  • Lorenz model Analysis of a chaotic and a non-chaotic 3D dynamical system: The Quasi-Geostrophic Omega Equation and the Lorenz-96 model [(Articles in Press)]
  • Lorenz system Residual Method for Nonlinear System of Initial Value Problems [Volume 8, Issue 4, 2020, Pages 733-744]
  • Lotka-Volterra model Power series solutions of fractional Lotka-Volterra equation [(Articles in Press)]
  • Lubich Generators A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]
  • Lucas polynomials Modified Lucas polynomials for the numerical treatment of second-order boundary value problems [Volume 11, Issue 1, 2023, Pages 12-31]
  • Lukasiewicz semiring THE DYNAMICAL SYSTEMS IN PRODUCT LUKASIEWICZ SEMIRINGS [(Articles in Press)]
  • Lumped Galerkin method A new application for numerical computations of the modified equal width equation (MEW) based on Lumped Galerkin method with the cubic B-spline [Volume 11, Issue 1, 2023, Pages 95-107]
  • Lung Disease Classification A U-Net Framework Using Differential Equations for Enhanced Computer Vision in Lung Disease Diagnosis [(Articles in Press)]
  • Lyapunov exponent Stability of two classes of improved backward Euler methods for stochastic delay differential equations of neutral type [Volume 5, Issue 3, 2017, Pages 201-213]
  • Lyapunov exponents Lyapunov exponents for discontinuous dynamical systems of Filippov type [Volume 8, Issue 3, 2020, Pages 446-453]
  • Lyapunov function Mathematical modelling of the epidemiology of Corona Virus Infection with constant spatial diffusion term in Ghana. [(Articles in Press)]
  • Lyapunov stability Sensitivity analytic and synchronization of a new fractional-order financial system [Volume 9, Issue 3, 2021, Pages 788-798]

M

  • Maccari system The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]
  • Machine learing Kurdish speaker identification based on one dimensional convolutional neural network [Volume 7, Issue 4 (Special Issue), 2019, Pages 566-572]
  • Machine learing Some notions of $(sigma, au)-$amenability for unitization of Banach algebras [Volume 7, Issue 4 (Special Issue), 2019, Pages 573-579]
  • Magnetic Resonance Imaging Unknown functions estimation in a parabolic equation arises from Diffusion Tensor Magnetic Resonance Imaging [Volume 7, Issue 3, 2019, Pages 383-395]
  • Magneto hydrodynamics (MHD) A mathematical study on the non-linear boundary value problem of a porous fin [Volume 12, Issue 3, 2024, Pages 523-543]
  • Majorization Comparing present and accumulated value of annuities with different interest rates [Volume 7, Issue 4 (Special Issue), 2019, Pages 621-625]
  • Malliavin calculus The convergence of exponential Euler method for weighted fractional stochastic equations [Volume 10, Issue 2, 2022, Pages 538-548]
  • Markov chain Stochastic analysis and invariant subspace method for handling option pricing with numerical simulation [Volume 10, Issue 2, 2022, Pages 419-430]
  • Markovian jumps systems Stability for neutral-type integro-differential neural networks with random switches in noise and delay [Volume 11, Issue 1, 2023, Pages 65-80]
  • Matching polynomial A novel hybrid method for solving combined functional neutral differential equations with several delays and investigation of convergence rate via residual function [Volume 7, Issue 3, 2019, Pages 396-417]
  • Mathematical model SOLVING THE OPTIMIZING PARAMETERS PROBLEM FOR NON-LINEAR DATASETS USING THE HIGH-ORDER GENERAL LEAST DEVIATIONS METHOD (GLDM) ALGORITHM [(Articles in Press)]
  • Mathematical Modeling A numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growth [Volume 9, Issue 2, 2021, Pages 327-346]
  • Mathematical Modelling The use of technological intelligence model in solving terrorism dynamics: a case study of Nigeria [Volume 13, Issue 1, 2025, Pages 201-213]
  • Mathematical Model of COVID-19 A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease [Volume 11, Issue 4, 2023, Pages 834-850]
  • Mathematical models Analysis of quarantine and liberate effects on viral infection using SEIR and Caputo $ lpha $-fractional-order model [(Articles in Press)]
  • Matlab New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [(Articles in Press)]
  • Matrix decomposition algorithm (MDA) A higher order orthogonal collocation technique for discontinuous two dimensional problems with Neumann boundary conditions [(Articles in Press)]
  • Matrix equation On the solving of matrix equation of Sylvester type [Volume 7, Issue 1, 2019, Pages 96-104]
  • Matrix equation Legendre-collocation spectral solver for variable-order fractional functional differential equations [Volume 8, Issue 1, 2020, Pages 99-110]
  • Matrix function Bounding error of calculating the matrix functions [Volume 10, Issue 1, 2022, Pages 259-273]
  • Matrix inverse eigenvalue problem Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]
  • Matrix Krylov subspaces New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]
  • Matrix stability method Numerical approximation of coupled Schr𝐨̈dinger equations via NUAH B-spline DQM [(Articles in Press)]
  • Matrix Sylvester equation On the solving of matrix equation of Sylvester type [Volume 7, Issue 1, 2019, Pages 96-104]
  • Mean-square stability Mean-square stability of a constructed Third-order stochastic Runge–Kutta schemes for general stochastic differential equations [Volume 10, Issue 3, 2022, Pages 617-638]
  • Measure of noncompactness $L^p$-existence of mild solutions of fractional differential equations in Banach space [Volume 7, Issue 1, 2019, Pages 105-116]
  • Measures of non-compactness Existence of solutions of Caputo fractional integro-differential equations [(Articles in Press)]
  • Medical Image Analysis A U-Net Framework Using Differential Equations for Enhanced Computer Vision in Lung Disease Diagnosis [(Articles in Press)]
  • Medical Ultrasound Images An anomalous diffusion approach for speckle noise reduction in medical ultrasound images [Volume 10, Issue 1, 2022, Pages 225-235]
  • Mellin-Barnes type contour Generalization of Katugampola fractional kinetic equation involving incomplete H-function [Volume 12, Issue 4, 2024, Pages 842-856]
  • Mellin-Barnes type contour integral Srivastava-Luo-Raina M-transform involving the incomplete I-functions [Volume 12, Issue 1, 2024, Pages 159-172]
  • Melnikov function Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics [(Articles in Press)]
  • Mesh-free method An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation [Volume 5, Issue 4, 2017, Pages 301-309]
  • Meshless local Petrov-Galerkin (MLPG) method Interpolating MLPG method to investigate predator-prey population dynamic with complex characters [(Articles in Press)]
  • Meshless local radial point interpolation (MLRPI) Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • Meshless method Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]
  • Meshless method The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system [Volume 6, Issue 2, 2018, Pages 215-237]
  • Meshless method A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions [Volume 10, Issue 4, 2022, Pages 969-985]
  • Meshless methods Solving the forward-backward heat equation with a non-overlapping domain decomposition method based on multiquadric RBF meshfree method [Volume 9, Issue 4, 2021, Pages 1083-1099]
  • Meta-heuristic Design of normal distribution-based algorithm for solving systems of nonlinear equations [Volume 10, Issue 1, 2022, Pages 274-297]
  • Method of fundamental solutions Application of the method of fundamental solutions for designing the optimal shape in heat transfer [Volume 9, Issue 1, 2021, Pages 273-288]
  • Method of line 2-stage explicit total variation diminishing preserving Runge-Kutta methods [Volume 1, Issue 1, 2013, Pages 30-38]
  • Method of lines A meshless technique based on the radial basis functions for solving systems of partial differential equations [Volume 10, Issue 2, 2022, Pages 526-537]
  • Method of lines Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines [Volume 10, Issue 3, 2022, Pages 686-700]
  • Method of separating variables Analytical solutions for the fractional Klein-Gordon equation [Volume 2, Issue 2, 2014, Pages 99-114]
  • Method of upper or lower solutions Interval fractional integrodifferential equations without singular kernel by fixed point in partially ordered sets [Volume 5, Issue 1, 2017, Pages 12-29]
  • M-fractional derivative Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques [Volume 12, Issue 2, 2024, Pages 207-225]
  • M-fractional Neumann method Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • M-fractional Volterra integral equations Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • MHD Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]
  • MHD fluid flow MATHEMATICAL STUDY ON INFINITE BOUNDARY VALUE PROBLEM FOR MHD FLOW OF A MICROPOLAR NANOFLUID [(Articles in Press)]
  • Micropolar nanofluid MATHEMATICAL STUDY ON INFINITE BOUNDARY VALUE PROBLEM FOR MHD FLOW OF A MICROPOLAR NANOFLUID [(Articles in Press)]
  • Mild solutions $L^p$-existence of mild solutions of fractional differential equations in Banach space [Volume 7, Issue 1, 2019, Pages 105-116]
  • Minimal Lagrangian Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times [Volume 13, Issue 1, 2025, Pages 249-257]
  • Minimax optimization ON THE EFFICIENCY OF ALGORITHM FOR SOLVING COMPLEX QUADRATIC DOUBLE–RATIO MINIMAX OPTIMIZATION PROBLEM [(Articles in Press)]
  • Minimum-time Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials [Volume 3, Issue 3, 2015, Pages 177-191]
  • Mittag-Leffler Analytical solutions for the fractional Klein-Gordon equation [Volume 2, Issue 2, 2014, Pages 99-114]
  • Mittag-Leffler function Exact solutions of a linear fractional partial differential equation via characteristics method [Volume 6, Issue 1, 2018, Pages 12-18]
  • Mittag-Leffler function Matrix Mittag-Leffler functions of fractional nabla calculus [Volume 6, Issue 2, 2018, Pages 128-140]
  • Mittag-Leffler function Algorithm for solving the Cauchy problem for stationary systems of fractional order linear ordinary differential equations [Volume 8, Issue 1, 2020, Pages 212-221]
  • Mittag-Leffler function Regularized Prabhakar derivative for partial differential equations [Volume 10, Issue 3, 2022, Pages 726-737]
  • Mittag-Leffler function A Novel Approach to Fractional Kinetic Equations Involving Srivastava Polynomial and Multi-Index Bessel Function [(Articles in Press)]
  • Mittag-Leffler functions A pseudo-spectral based method for time-fractional advection-diffusion equation [Volume 8, Issue 3, 2020, Pages 454-467]
  • Mittag-Leffler functions The generalized conformable derivative for 4α-order Sturm-Liouville problems [Volume 10, Issue 3, 2022, Pages 816-825]
  • Mittag-Leffler Kernel A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease [Volume 11, Issue 4, 2023, Pages 834-850]
  • Mixed monotone operator q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem [Volume 13, Issue 1, 2025, Pages 73-94]
  • Mixed type boundary conditions, Upper and lower solutions, Monotone iterative technique, Existence and uniqueness results Iterative scheme to a coupled system of highly nonlinear fractional order differential equations [Volume 3, Issue 3, 2015, Pages 163-176]
  • ML-Payoff functions PDTM approach to solve Black Scholes equation for powered ML-Payoff function [Volume 10, Issue 2, 2022, Pages 320-326]
  • M-matrix Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations [Volume 2, Issue 4, 2014, Pages 256-267]
  • Mobile device control Short message service remotely mobile device control [Volume 7, Issue 4 (Special Issue), 2019, Pages 545-565]
  • Mobile networks Mapping a new system for outdoor GSM signal strength [Volume 7, Issue 4 (Special Issue), 2019, Pages 535-544]
  • Modified Adomian decomposition method Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method [Volume 12, Issue 1, 2024, Pages 189-195]
  • Modified Atangana-Baleanu Caputo Derivative A Mathematical Analysis of Non-linear Smoking Model via Fractional Operators [(Articles in Press)]
  • Modified BFGS method The modified BFGS method with new secant relation ‎for unconstrained optimization problems‎ [Volume 7, Issue 1, 2019, Pages 28-41]
  • Modified cubic B-spline Numerical solution of nonlinear Sine-Gordon equation using modified cubic B-spline-based differential quadrature method [Volume 11, Issue 2, 2023, Pages 369-386]
  • Modified cubic B-spline basis functions Numerical solution of the hyperbolic telegraph equation using cubic B-spline-based differential quadrature of high accuracy [Volume 10, Issue 4, 2022, Pages 837-859]
  • Modified equal width wave equation Obtaining soliton solutions of equations combined with the Burgers and equal width wave equations using a novel method [Volume 10, Issue 3, 2022, Pages 826-836]
  • Modified extended tanh method On the new extensions to the Benjamin-Ono equation [Volume 8, Issue 3, 2020, Pages 424-445]
  • Modified generalized Laguerre polynomials Laguerre collocation method for solving Lane-Emden type equations [Volume 9, Issue 4, 2021, Pages 1176-1197]
  • Modified hat functions, Error estimate A numerical technique for solving nonlinear fractional stochastic integro-differential equations with n-dimensional Wiener process [Volume 10, Issue 1, 2022, Pages 61-76]
  • Modified Homotopy analysis method (MHAM) A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid [Volume 11, Issue 4, 2023, Pages 696-715]
  • Modified Jacobi elliptic functions Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis [Volume 10, Issue 4, 2022, Pages 905-913]
  • Modified Kudryashov method Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods [Volume 10, Issue 3, 2022, Pages 674-685]
  • Modified Kudryashov method Analytical solutions of the fractional (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation [Volume 11, Issue 3, 2023, Pages 564-575]
  • Modified operational matrix A highly accurate wavelet approach for multi-term variable-order fractional multi-dimensional differential equations [(Articles in Press)]
  • Modified simple equation method (MSEM) Modified simple equation method (MSEM) for solving nonlinear (3+1)-dimensional space-time fractional equations [Volume 12, Issue 2, 2024, Pages 413-424]
  • Moisture diffusivity Finite-difference method for Hygrothermoelastic boundary value problem [Volume 13, Issue 1, 2025, Pages 157-168]
  • Mollification Unknown functions estimation in a parabolic equation arises from Diffusion Tensor Magnetic Resonance Imaging [Volume 7, Issue 3, 2019, Pages 383-395]
  • Monodromy problem Monodromy problem for the degenerate critical points [Volume 3, Issue 1, 2015, Pages 1-13]
  • Monomial basis functions A higher order orthogonal collocation technique for discontinuous two dimensional problems with Neumann boundary conditions [(Articles in Press)]
  • Monotone iterative technique Study of new monotone iterative technique for a class of arbitrary order differential equations [Volume 8, Issue 4, 2020, Pages 639-647]
  • Monotonicity The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8 [Volume 10, Issue 1, 2022, Pages 236-258]
  • Monotonicity condition Some Results on Reflected Forward-Backward Stochastic differential equations [Volume 8, Issue 3, 2020, Pages 480-492]
  • Monotonic scheme A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation [(Articles in Press)]
  • Monte Carlo Option pricing under the double stochastic volatility with double jump model [Volume 5, Issue 3, 2017, Pages 224-231]
  • Monte Carlo method A new Monte Carlo method for solving systems of linear algebraic equations [Volume 9, Issue 1, 2021, Pages 159-179]
  • Moore-Penrose inverse Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]
  • Mother wavelet Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • Mott-fractional Mott functions Designing an efficient algorithm for fractional partial integro-differential viscoelastic equations with weakly singular kernel [Volume 13, Issue 1, 2025, Pages 214-232]
  • Mott polynomials basis A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials [Volume 10, Issue 3, 2022, Pages 755-773]
  • Mountain pass theorem Existence of solutions for a class of critical Kirchhoff type problems involving Caffarelli-Kohn-Nirenberg inequalities [Volume 9, Issue 2, 2021, Pages 589-603]
  • Moving boundary On a moving boundary problem associated with a mathematical model of breast cancer [Volume 12, Issue 1, 2024, Pages 56-66]
  • Moving frame Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation [Volume 11, Issue 2, 2023, Pages 399-411]
  • Moving frames A finite generating set of differential invariants for Lie symmetry group of the fifth-order KdV types [Volume 11, Issue 4, 2023, Pages 803-810]
  • Moving least square A numerical solution of two-dimensional hyperbolic telegraph equation based on moving least square meshless method and radial basis functions [Volume 10, Issue 4, 2022, Pages 969-985]
  • Moving least squares method A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach [Volume 11, Issue 4, 2023, Pages 716-726]
  • Moving least-squares method The numerical approximation for the solution of linear and nonlinear integral equations of the second kind by interpolating moving least squares [Volume 9, Issue 3, 2021, Pages 830-845]
  • MRA images Kernel density estimation applications in vessel extraction for MRA images [Volume 13, Issue 1, 2025, Pages 190-200]
  • Multigrid technique Semi-Algebraic mode analysis for finite element discretisations of the heat equation [Volume 9, Issue 1, 2021, Pages 146-158]
  • Multi-Order Fractional Solving multi-order fractional differential equations by reproducing kernel Hilbert space method [Volume 4, Issue 3, 2016, Pages 170-190]
  • Multi-Order Fractional differential equation A Legendre Tau method for numerical solution of multi-order fractional mathematical model for COVID-19 disease [Volume 11, Issue 4, 2023, Pages 834-850]
  • Multiple right-hand sides New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]
  • Multiple strain Backward bifurcation in a two strain model of heroin addiction [Volume 10, Issue 3, 2022, Pages 656-673]
  • Multiplicative Continuous calculus‎ Invariant functions for solving multiplicative discrete and continuous ordinary differential equations [Volume 5, Issue 4, 2017, Pages 271-279]
  • Multiplicity Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions [Volume 7, Issue 3, 2019, Pages 475-479]
  • Multiquadric collo- cation method A method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers [Volume 6, Issue 3, 2018, Pages 295-311]
  • Multiquadric quasi-interpolation Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation [Volume 8, Issue 2, 2020, Pages 347-363]
  • Multiquadric quasi-interpolation Numerical investigation of the generalized Burgers-Huxley equation using combination of multiquadric quasi-interpolation and method of lines [Volume 10, Issue 3, 2022, Pages 686-700]
  • Multiquadric radial basis functions A combining method for the approximate solution of spatial segregation limit of reaction-diffusion systems [Volume 9, Issue 2, 2021, Pages 410-426]
  • Multi-scale method‎ Numerical solution of nonlinear SPDEs using a multi-scale method [Volume 6, Issue 2, 2018, Pages 157-175]
  • Multi-soliton solutions Multi-soliton of the (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation and KdV equation [Volume 7, Issue 1, 2019, Pages 86-95]
  • Multistep collocation method Superconvergence analysis of multistep collocation method for delay functional integral equations [Volume 4, Issue 3, 2016, Pages 205-216]
  • Multi-step DTM Multi-Step DTM simulation of Transesterification reactions model [(Articles in Press)]
  • Multi-step methods Stability analysis of third derivative multi-step methods for stiff initial value problems [Volume 8, Issue 3, 2020, Pages 564-572]
  • Multi-step Runge-Kutta-Nystr\"om methods Higher-order multi-step Runge-Kutta-Nystr"om methods with frequency-dependent coefficients for second-order initial value problem $u^{prime prime}=f(x,u,u^{prime})$ [Volume 12, Issue 4, 2024, Pages 808-826]
  • Muntz-Legendre polynomia A new operational matrix of Muntz-Legendre polynomials and Petrov-Galerkin method for solving fractional Volterra-Fredholm integro-differential equations [Volume 8, Issue 3, 2020, Pages 408-423]
  • M¨untz-Legendre polynomial Exact solutions and numerical simulations of time-fractional Fokker-Plank equation for special stochastic process [Volume 9, Issue 1, 2021, Pages 258-272]
  • Musielak-Orlicz space Some existence and nonexistence results for a class of Kirchhoff-double phase systems in bounded domains [(Articles in Press)]

N

  • Nabla difference Matrix Mittag-Leffler functions of fractional nabla calculus [Volume 6, Issue 2, 2018, Pages 128-140]
  • Nabla fractional difference Numerical computation of exponential functions in frame of Nabla fractional calculus [Volume 11, Issue 2, 2023, Pages 291-302]
  • Nano-channels A Finite Difference Approach to Solve the Nonlinear Model of Electro-Osmotic Flow in Nano-Channels [(Articles in Press)]
  • Nanofluid Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]
  • Naval hydrodynamics New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [(Articles in Press)]
  • Navier condition Existence results of infinitely many solutions for a class of p(x)-biharmonic problems [Volume 5, Issue 4, 2017, Pages 310-323]
  • Navier condition Existence of bound states for non-local fourth-order Kirchhoff systems [Volume 7, Issue 3, 2019, Pages 418-433]
  • Navier-Stokes equation A third-order weighted essentially non-oscillatory-flux limiter scheme for two-dimensional incompressible Navier-Stokes equations [Volume 11, Issue 1, 2023, Pages 1-11]
  • Navier-Stokes equation Mechanics of nanofluidic flow induced nonlinear vibrations of single and multi-walled branched nanotubes in a thermal-magnetic environment [(Articles in Press)]
  • Navier-Stokes equations Optimization with the time-dependent Navier-Stokes equations as constraints [Volume 3, Issue 2, 2015, Pages 87-98]
  • Navier-Stokes equations Numerical analysis of fluid flow behaviour in two sided deep lid driven cavity using the finite volume technique [Volume 10, Issue 4, 2022, Pages 986-1006]
  • Neimark-Sacker bifurcation Dynamical behaviors of Bazykin-Berezovskaya model with fractional-order and its discretization [Volume 9, Issue 4, 2021, Pages 1013-1027]
  • Nelder-Mead algorithm A new methodology to estimate constant elasticity of variance [Volume 9, Issue 4, 2021, Pages 1059-1068]
  • Network-on-chip A fuzzy-based routing scheme for network-on-chip with honeycomb topology [Volume 7, Issue 4 (Special Issue), 2019, Pages 511-520]
  • Neumann method Neumann method for solving conformable fractional Volterra integral equations [Volume 8, Issue 1, 2020, Pages 54-68]
  • Neumann’s boundary conditions Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • Neural Networks Stability for neutral-type integro-differential neural networks with random switches in noise and delay [Volume 11, Issue 1, 2023, Pages 65-80]
  • Neuro-Fuzzy methods A DYNAMIC NEURO-FUZZY APPROACH FOR PATTERN CLASSIFICATION [(Articles in Press)]
  • Neutral differential equations Existence of nonoscillatory solutions of second-order differential equations with mixed neutral term [Volume 11, Issue 4, 2023, Pages 851-864]
  • Neutral stochastic delay differential equations Stability of two classes of improved backward Euler methods for stochastic delay differential equations of neutral type [Volume 5, Issue 3, 2017, Pages 201-213]
  • Neutral stochastic functional differential equations Stability in distribution of neutral stochastic functional differential equations with infinite delay [Volume 9, Issue 2, 2021, Pages 604-622]
  • Neutral-type systems Stability for neutral-type integro-differential neural networks with random switches in noise and delay [Volume 11, Issue 1, 2023, Pages 65-80]
  • Newell-Whitehead-Segel Exact and Iterative Solutions for DEs, Including Fokker-Planck and Newell-Whitehead-Segel Equations, Using Shehu Transform and HPM [(Articles in Press)]
  • Newell-Whitehead-Segel Equation (NWS) On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations [Volume 13, Issue 1, 2025, Pages 95-106]
  • New extended direct algebraic method New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics [Volume 8, Issue 1, 2020, Pages 28-53]
  • New extended (G'/G)-expansion method Application of the new extended (G'/G) -expansion method to find exact solutions for nonlinear partial differential equation [Volume 3, Issue 1, 2015, Pages 59-69]
  • New powerful expansion approach Dynamics of combined soliton solutions of unstable nonlinear fractional-order Schrödinger equation by beta-fractional derivative [Volume 10, Issue 2, 2022, Pages 549-566]
  • Newtonian type linearization method (NTLM) On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations [Volume 13, Issue 1, 2025, Pages 95-106]
  • Newton iterative algorithm A Finite Difference Approach to Solve the Nonlinear Model of Electro-Osmotic Flow in Nano-Channels [(Articles in Press)]
  • Newton method An efficient improvement of the Newton method for solving nonconvex optimization problems [Volume 7, Issue 1, 2019, Pages 69-85]
  • Newton method Radial basis functions method for nonlinear time- and space-fractional Fokker-Planck equation [Volume 9, Issue 4, 2021, Pages 1128-1147]
  • Newton-Raphson method Applications of the Newton-Raphson method in a SDFEM for inviscid Burgers equation [Volume 8, Issue 4, 2020, Pages 708-732]
  • Newton-Raphson method Solving free boundary problem for an initial cell layer in multispecies biofilm formation by Newton-Raphson method [Volume 9, Issue 3, 2021, Pages 899-907]
  • Newton Rephson method NUMERICAL STUDY OF ASTROPHYSICS EQUATIONS USING BESSEL COLLOCATION METHODS OF FIRST KIND [(Articles in Press)]
  • Newton’s law of cooling equation Existence, uniqueness, and finite-time stability of solutions for Ψ-Caputo fractional differential equations with time delay [Volume 11, Issue 4, 2023, Pages 785-802]
  • Next generation method Numerical Analysis of SEIR epidemic model with fractional order [(Articles in Press)]
  • NLSE Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation [Volume 10, Issue 1, 2022, Pages 179-190]
  • NLSE Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis [Volume 10, Issue 4, 2022, Pages 905-913]
  • Nodal Points The numerical values of the nodal points for the Sturm-Liouville equation with one turning point [Volume 7, Issue 1, 2019, Pages 124-137]
  • Nodal Points Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]
  • Noether symmetry Symmetries and conservation laws of the Berger metric on a squashed three-sphere [(Articles in Press)]
  • Noisy data Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem [Volume 7, Issue 3, 2019, Pages 434-453]
  • Noisy Intermediate Scale Quantum (NISQ) A Comprehensive Review on Quantum Computing and Algorithms [(Articles in Press)]
  • Non-algebraic Hamiltonian An extended complete Chebyshev system of 3 Abelian integrals related to a non-algebraic Hamiltonian system [Volume 6, Issue 4, 2018, Pages 438-447]
  • Nonautonomous rogue wave Exact solutions of the combined Hirota-LPD equation with variable coefficients [Volume 9, Issue 1, 2021, Pages 94-116]
  • Non-classical Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method [Volume 11, Issue 3, 2023, Pages 643-663]
  • Non-classical EFFICIENT NUMERICAL SOLUTION OF SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS ByYDOUBLE EXPONENTIAL NON-CLASSICAL SINC-COLLOCATION METHOD [(Articles in Press)]
  • Non-classic condition Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]
  • Nondefinite problem Asymptotic distributions of Neumann problem for Sturm-Liouville equation [Volume 2, Issue 1, 2014, Pages 19-25]
  • Non-globally Lipschitz conditions An explicit split-step truncated Milstein method for stochastic differential equations [Volume 11, Issue 4, 2023, Pages 676-695]
  • Nonlinear Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Nonlinear Holder estimates of solutions degenerate nonlinear parabolic equations [Volume 11, Issue 1, 2023, Pages 197-206]
  • Nonlinear A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]
  • Non-linear Non-polynomial cubic spline method for solution of higher order boundary value problems [Volume 11, Issue 2, 2023, Pages 225-240]
  • Nonlinear algebraic system High-order numerical solution for a class of nonlinear Fredholm integro-differential equations [(Articles in Press)]
  • Nonlinear Black-Scholes equation Properties of utility function for Barles and Soner model [Volume 7, Issue 1, 2019, Pages 117-123]
  • Nonlinear boundary conditions Extremal solutions for multi-term nonlinear fractional differential equations with nonlinear boundary conditions [Volume 11, Issue 1, 2023, Pages 32-41]
  • Nonlinear boundary conditions Upper and lower solutions for fractional integro-differential equation of higher-order and with nonlinear boundary conditions [Volume 12, Issue 3, 2024, Pages 438-453]
  • Non-linear boundary value problem A NEW APPROXIMATE ANALYTICAL METHOD FOR SOLVING SOME NON-LINEAR BOUNDARY VALUE PROBLEMS IN REACTION-DIFFUSION MODEL [(Articles in Press)]
  • Non-linear boundary value problem MATHEMATICAL STUDY ON INFINITE BOUNDARY VALUE PROBLEM FOR MHD FLOW OF A MICROPOLAR NANOFLUID [(Articles in Press)]
  • Nonlinear conservation laws A total variation diminishing high resolution scheme for nonlinear conservation laws [Volume 6, Issue 4, 2018, Pages 456-470]
  • Nonlinear differential equation A study on homotopy analysis method and clique polynomial method [Volume 10, Issue 3, 2022, Pages 774-788]
  • Nonlinear elliptic equation Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [(Articles in Press)]
  • Nonlinear elliptic equation THE BEHAVIOUR OF SOLUTIONS BOUNDARY PROBLEM TO NONLINEAR ELLIPTIC EQUATIONS [(Articles in Press)]
  • Non-Linear Equation A New Three-Step Optimal Without Memory Iterative Scheme for Solving Non-Linear Equations with Basins of Attraction [(Articles in Press)]
  • Non-linear equations COMPACT FINITE DIFFERENCE SCHEME FOR NUMERICAL SOLUTION OF CAPUTO-FABRIZIO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS [(Articles in Press)]
  • Nonlinear equations Partial eigenvalue assignment of descriptor fractional discrete-time linear systems by parametric state feedback [Volume 9, Issue 2, 2021, Pages 375-392]
  • Nonlinear equations Design of normal distribution-based algorithm for solving systems of nonlinear equations [Volume 10, Issue 1, 2022, Pages 274-297]
  • Nonlinear equations A two-step method adaptive with memory with eighth-order for solving nonlinear equations and its dynamic [Volume 10, Issue 4, 2022, Pages 1007-1026]
  • Nonlinear equations Efficient family of three-step with-memory methods and their dynamics [Volume 12, Issue 3, 2024, Pages 599-609]
  • Nonlinear equations‎ A new family of four-step fifteenth-order root-finding methods with high efficiency index [Volume 3, Issue 1, 2015, Pages 51-58]
  • Nonlinear evolution equation New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics [Volume 8, Issue 1, 2020, Pages 28-53]
  • Nonlinear evolution equation Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations [Volume 8, Issue 3, 2020, Pages 597-609]
  • Nonlinear evolution equation Novel traveling wave solutions of generalized seventh-order KdV equation and related equation [Volume 12, Issue 2, 2024, Pages 392-412]
  • Nonlinear Fredholm-Volterra integral equation Hybrid collocation method for some classes of second-kind nonlinear weakly singular integral equations [Volume 11, Issue 1, 2023, Pages 183-196]
  • Nonlinear initial value problem VIM-Pad´e technique for solving nonlinear and delay initial value problems [Volume 9, Issue 3, 2021, Pages 749-761]
  • Nonlinear initial value systems Residual Method for Nonlinear System of Initial Value Problems [Volume 8, Issue 4, 2020, Pages 733-744]
  • Nonlinear integral equations system A new iteration method for solving a class of Hammerstein type integral equations system [Volume 3, Issue 4, 2015, Pages 231-246]
  • Nonlinear integral inclusions Existence of solution for nonlinear integral inclusions [Volume 10, Issue 1, 2022, Pages 215-224]
  • Nonlinear inverse problem Regularization of a nonlinear inverse problem by discrete mollification‎ ‎method [Volume 9, Issue 1, 2021, Pages 313-326]
  • Nonlinear inverse problem Inverse optimization problem for a fractional analog of the Barenblatt–Zheltov–Kochina equation [(Articles in Press)]
  • Nonlinear Klein-Gordon and sine-Gordon equations A pseudospectral Sinc method for numerical investigation of the nonlinear time-fractional Klein-Gordon and sine-Gordon equations [Volume 11, Issue 2, 2023, Pages 357-368]
  • Non-linear Klein-Gordon equation Numerical study of the non-linear time fractional Klein-Gordon equation using the Pseudo-spectral Method [(Articles in Press)]
  • Nonlinear Klein-Gordon equation Development of non polynomial spline and New B-spline with application to solution of Klein-Gordon equation [Volume 8, Issue 4, 2020, Pages 794-814]
  • Nonlinear Klein-Gordon equation Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation [Volume 11, Issue 2, 2023, Pages 399-411]
  • Nonlinear local fractional wave-like equations An accurate method for nonlinear local fractional Wave-Like equations with variable coefficients [Volume 9, Issue 3, 2021, Pages 774-787]
  • Non-linear mathematical Model Modelling the transmission of Mpox with case study in Nigeria and Democratic Republic of the Congo (DRC) [(Articles in Press)]
  • Nonlinear nonlocal elliptic BVPs An efficient technique based on the HAM with Green's function for a class of nonlocal elliptic boundary value problems [Volume 9, Issue 3, 2021, Pages 722-735]
  • Nonlinear Oscillators A novel analytical approximation approach for strongly nonlinear oscillation systems based on the energy balance method and He's Frequency-Amplitude formulation [Volume 11, Issue 3, 2023, Pages 464-477]
  • Nonlinear Pantograph Equations Spectral collocation method based on special functions for solving nonlinear high-order pantograph equations [Volume 11, Issue 3, 2023, Pages 589-604]
  • Non-linear parabolic partial differential equation A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation [Volume 11, Issue 1, 2023, Pages 130-142]
  • Nonlinear parabolic partial differential equation Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation [Volume 10, Issue 1, 2022, Pages 28-43]
  • Nonlinear partial differential equation Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Nonlinear partial differential equations Dynamics of combined soliton solutions of unstable nonlinear fractional-order Schrödinger equation by beta-fractional derivative [Volume 10, Issue 2, 2022, Pages 549-566]
  • Nonlinear partial differential equations Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations [(Articles in Press)]
  • Nonlinear PDE Investigating of highly dispersive solitons for concatenation model with power law nonlinearity using improved modified extended tanh-function method [(Articles in Press)]
  • Nonlinear programming A Chebyshev pseudo-spectral based approach for solving Troesch’s problem with convergence analysis [Volume 12, Issue 4, 2024, Pages 827-841]
  • Nonlinear Schrödinger equation Two-Dimensional Nonlinear Schrödinger Equation Using an Alternating Direction Implicit Method [(Articles in Press)]
  • Nonlinear Schrödinger equation (NLSE) Extended hyperbolic function method for the model having cubic-quintic-septimal nonlinearity in weak nonlocal media [Volume 13, Issue 1, 2025, Pages 271-281]
  • Nonlinear Troesch's problem Solution of Troesch's problem through double exponential Sinc-Galerkin method [Volume 5, Issue 2, 2017, Pages 141-157]
  • Nonlocal Solitary waves with two new nonlocal boussinesq types equations using a couple of integration schemes [Volume 12, Issue 4, 2024, Pages 749-762]
  • Nonlocal approximation A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws [Volume 2, Issue 2, 2014, Pages 91-98]
  • Nonlocal boundary condition Numerical solution of Burgers' equation with nonlocal boundary condition: Use of Keller-Box scheme [Volume 12, Issue 3, 2024, Pages 425-437]
  • Non-local conditions A Reproducing Kernel Method for Solving Nonlocal Functional Differential Equations with Delayed or Advanced Arguments [(Articles in Press)]
  • Nonlocal conditions Mixed reproducing kernel-based iterative approach for nonlinear boundary value problems with nonlocal conditions [Volume 9, Issue 3, 2021, Pages 649-658]
  • Nonlocal conditions Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]
  • Nonlocal conditions A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Non-monotone argument Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Nonoscillatory solution Existence of nonoscillatory solutions of second-order differential equations with mixed neutral term [Volume 11, Issue 4, 2023, Pages 851-864]
  • Nonoscillatory solutions Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Non-overlapping domain decomposition Solving the forward-backward heat equation with a non-overlapping domain decomposition method based on multiquadric RBF meshfree method [Volume 9, Issue 4, 2021, Pages 1083-1099]
  • Non-polynomial Non-polynomial Spline Method for Solving Coupled Burgers Equations [Volume 3, Issue 3, 2015, Pages 218-230]
  • Non-polynomial spline Non-polynomial cubic spline method for solution of higher order boundary value problems [Volume 11, Issue 2, 2023, Pages 225-240]
  • Non-polynomial spline function Development of non polynomial spline and New B-spline with application to solution of Klein-Gordon equation [Volume 8, Issue 4, 2020, Pages 794-814]
  • Nonsmooth optimization Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints [Volume 9, Issue 2, 2021, Pages 347-357]
  • Nonstandard finite differences Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations [Volume 2, Issue 4, 2014, Pages 256-267]
  • Nonstandard finite difference scheme A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws [Volume 2, Issue 2, 2014, Pages 91-98]
  • Nonstandard Finite-difference scheme The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Non symmetric linear systems New variants of the global Krylov type methods for linear systems with multiple right-hand sides arising in elliptic PDEs [Volume 6, Issue 2, 2018, Pages 111-127]
  • Non-uniform mesh Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation [Volume 10, Issue 1, 2022, Pages 28-43]
  • Nordsieck representation Nordsieck representation of high order predictor-corrector Obreshkov methods and their implementation [Volume 7, Issue 1, 2019, Pages 16-27]
  • Normal Distribution-based Algorithm (NDA) Design of normal distribution-based algorithm for solving systems of nonlinear equations [Volume 10, Issue 1, 2022, Pages 274-297]
  • Norm-bound perturbation Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach [Volume 10, Issue 4, 2022, Pages 860-875]
  • NUAH B-spline Numerical approximation of coupled Schr𝐨̈dinger equations via NUAH B-spline DQM [(Articles in Press)]
  • Nucci method Investigation of Optical Solitons in a Weakly Nonlocal Schrodinger Equation with Parabolic Nonlinearity [(Articles in Press)]
  • Numerical Studying the thermal analysis of rectangular cross section porous fin: A numerical approach [Volume 10, Issue 2, 2022, Pages 338-350]
  • Numerical A ROBUST NUMERICAL METHOD TO FIND THE SOLUTIONS OF TIME-FRACTIONAL KLEIN-CORDON EQUATION [(Articles in Press)]
  • Numerical algorithms A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
  • Numerical analysis Numerical solution of optimal control problems by using a new second kind Chebyshev wavelet [Volume 4, Issue 2, 2016, Pages 162-169]
  • Numerical analysis Laguerre collocation method for solving Lane-Emden type equations [Volume 9, Issue 4, 2021, Pages 1176-1197]
  • Numerical method Solving of partial differential equations with distributed order in time using fractional-order Bernoulli-Legendre functions [Volume 9, Issue 3, 2021, Pages 799-817]
  • Numerical method A numerical approach for solving Caputo-Prabhakar distributed-order time-fractional partial differential equation [Volume 12, Issue 3, 2024, Pages 571-584]
  • Numerical methods Sinc operational matrix method for solving the Bagley-Torvik equation [Volume 5, Issue 1, 2017, Pages 56-66]
  • Numerical methods A new numerical fractional differentiation formula to approximate the Caputo-Fabrizio fractional derivative: error analysis and stability [Volume 10, Issue 1, 2022, Pages 12-27]
  • Numerical methods An effective Legendre wavelet technique for the time-fractional Fisher equation [(Articles in Press)]
  • Numerical methods for wavelets A Chebyshev Wavelet Approach to the Generalized Time-Fractional Burgers-Fisher Equation [(Articles in Press)]
  • Numerical optimization Design of normal distribution-based algorithm for solving systems of nonlinear equations [Volume 10, Issue 1, 2022, Pages 274-297]
  • Numerical scheme European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]
  • Numerical simulation A simulation study of the COVID-19 pandemic based on the Ornstein-Uhlenbeck processes [Volume 10, Issue 3, 2022, Pages 738-745]
  • Numerical simulation Efficiency of vaccines for COVID-19 and stability analysis with fractional derivative [Volume 12, Issue 3, 2024, Pages 454-470]
  • Numerical simulation A NEW APPROXIMATE ANALYTICAL METHOD FOR SOLVING SOME NON-LINEAR BOUNDARY VALUE PROBLEMS IN REACTION-DIFFUSION MODEL [(Articles in Press)]
  • Numerical simulations Brenstien polynomials and its application to fractional differential equation [Volume 3, Issue 1, 2015, Pages 14-35]
  • Numerical simulations Analytical approximate solution of leptospirosis epidemic model with standard incidence rate [Volume 7, Issue 3, 2019, Pages 370-382]
  • Numerical simulations Numerical Analysis of SEIR epidemic model with fractional order [(Articles in Press)]
  • Numerical solution Haar wavelet iteration method for solving time fractional Fisher's equation [Volume 8, Issue 3, 2020, Pages 505-522]
  • Numerical solution Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method [Volume 10, Issue 4, 2022, Pages 1086-1096]
  • Numerical solution Approximate solutions of inverse Nodal problem with conformable derivative [Volume 12, Issue 3, 2024, Pages 610-623]
  • Numerical solution Multi-Step DTM simulation of Transesterification reactions model [(Articles in Press)]

O

  • Obstacle problem An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • ODEs Analysis of a chaotic and a non-chaotic 3D dynamical system: The Quasi-Geostrophic Omega Equation and the Lorenz-96 model [(Articles in Press)]
  • Oldroyd-B fluid Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature [Volume 10, Issue 2, 2022, Pages 372-395]
  • One dimensional coupled nonlinear Burger’s equations Solving one dimensional nonlinear coupled Burger’s equations using high accuracy multiquadric quasi-interpolation [Volume 8, Issue 2, 2020, Pages 347-363]
  • One-dimensional hyperbolic telegraph equation An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic B-spline functions [Volume 9, Issue 4, 2021, Pages 1198-1213]
  • One phase obstacle problem A combining method for the approximate solution of spatial segregation limit of reaction-diffusion systems [Volume 9, Issue 2, 2021, Pages 410-426]
  • Operational integration matrix Analyzing MHD boundary layer flow of Rivlin Ericksen fluid over a stretching sheet by applying Taylor Wavelet Approach [(Articles in Press)]
  • Operational matrices Haar wavelet iteration method for solving time fractional Fisher's equation [Volume 8, Issue 3, 2020, Pages 505-522]
  • Operational matrices Numerical analysis of fractional differential equation by TSI-wavelet method [Volume 9, Issue 3, 2021, Pages 659-669]
  • Operational matrices Laguerre collocation method for solving Lane-Emden type equations [Volume 9, Issue 4, 2021, Pages 1176-1197]
  • Operational matrices An efficient approximate solution of Riesz fractional advection-diffusion equation [Volume 10, Issue 2, 2022, Pages 307-319]
  • Operational matrices Numerical solution of space-time fractional PDEs with variable coefficients using shifted Jacobi collocation method [Volume 11, Issue 1, 2023, Pages 81-94]
  • Operational matrix Numerical solution of delay differential equations via operational matrices of hybrid of block-pulse functions and Bernstein polynomials [Volume 1, Issue 2, 2013, Pages 78-95]
  • Operational matrix A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations [Volume 1, Issue 2, 2013, Pages 96-107]
  • Operational matrix Numerical solution of linear control systems using interpolation scaling functions [Volume 4, Issue 2, 2016, Pages 139-150]
  • Operational matrix Sinc operational matrix method for solving the Bagley-Torvik equation [Volume 5, Issue 1, 2017, Pages 56-66]
  • Operational matrix The operational matrix of fractional derivative of the fractional-order Chebyshev functions and its applications [Volume 5, Issue 1, 2017, Pages 67-87]
  • Operational matrix Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials [Volume 5, Issue 2, 2017, Pages 88-102]
  • Operational matrix Fractional-order Legendre wavelets and their applications for solving fractional-order differential equations with initial/boundary conditions [Volume 5, Issue 2, 2017, Pages 117-140]
  • Operational matrix Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets [Volume 7, Issue 2, 2019, Pages 163-176]
  • Operational matrix Accurate splitting approach to characterize the solution set of boundary layer problems [Volume 7, Issue 2, 2019, Pages 206-223]
  • Operational matrix Spectral solution of fractional fourth order partial integro-differential equations [Volume 7, Issue 2, 2019, Pages 289-301]
  • Operational matrix A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Operational matrix Solving fractional optimal control problems using Genocchi polynomials [Volume 9, Issue 1, 2021, Pages 79-93]
  • Operational matrix A numerical method for solving fractional optimal control problems using the operational matrix of Mott polynomials [Volume 10, Issue 3, 2022, Pages 755-773]
  • Operational matrix Jacobi wavelets method for numerical solution of fractional population growth model [Volume 11, Issue 2, 2023, Pages 387-398]
  • Operational matrix Modified Lucas polynomials for the numerical treatment of second-order boundary value problems [Volume 11, Issue 1, 2023, Pages 12-31]
  • Operational matrix An efficient numerical approach for solving nonlinear Volterra integral equations [Volume 11, Issue 3, 2023, Pages 615-629]
  • Operational matrix Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets [Volume 12, Issue 2, 2024, Pages 374-391]
  • Operational matrix A Novel Hybrid Approach to Approximate fractional Sub-Diffusion Equation [(Articles in Press)]
  • Operational matrix Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions [(Articles in Press)]
  • Operational‎ ‎matrix Alpert wavelet system for solving fractional nonlinear Fredholm integro-differential equations [Volume 9, Issue 3, 2021, Pages 762-773]
  • Operational matrix of derivative‎ Solving Optimal Control Problems by using Hermite polynomials [Volume 8, Issue 2, 2020, Pages 314-329]
  • Operational matrix of integration Numerical inversion of Laplace transform via wavelet in ordinary differential equations [Volume 2, Issue 3, 2014, Pages 186-194]
  • Operational matrix of integration Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Operational vectors An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Optical soliton Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation [Volume 10, Issue 1, 2022, Pages 179-190]
  • Optical soliton Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis [Volume 10, Issue 4, 2022, Pages 905-913]
  • Optical solitons Extended hyperbolic function method for the model having cubic-quintic-septimal nonlinearity in weak nonlocal media [Volume 13, Issue 1, 2025, Pages 271-281]
  • Optical solitons Investigating of highly dispersive solitons for concatenation model with power law nonlinearity using improved modified extended tanh-function method [(Articles in Press)]
  • Optical solitons Optical solitons and stability analysis for the improved Eckhaus equations [(Articles in Press)]
  • Optimal collocation method An optimal B-spline collocation technique for numerical simulation of viscous coupled Burgers’ equation [Volume 10, Issue 4, 2022, Pages 1027-1045]
  • Optimal control Solution of Bang-Bang Optimal Control Problems by Using Bezier Polynomials [Volume 3, Issue 3, 2015, Pages 177-191]
  • Optimal control Numerical method for solving optimal control problem of the linear differential systems with inequality constraints [Volume 4, Issue 3, 2016, Pages 230-248]
  • Optimal control Solving optimal control problems by PSO-SVM [Volume 6, Issue 3, 2018, Pages 312-325]
  • Optimal control Interval structure of Runge-Kutta methods for solving optimal control problems with uncertainties [Volume 7, Issue 2, 2019, Pages 235-251]
  • Optimal control Solving Optimal Control Problems by using Hermite polynomials [Volume 8, Issue 2, 2020, Pages 314-329]
  • Optimal control A mathematical analysis of Zika virus transmission with optimal control strategies [Volume 9, Issue 1, 2021, Pages 117-145]
  • Optimal control Optimal control of double delayed HIV-1 infection model of fighting a virus with another virus [Volume 9, Issue 3, 2021, Pages 874-885]
  • Optimal control Optimal control of satellite attitude and its stability based on quaternion parameters [Volume 10, Issue 1, 2022, Pages 168-178]
  • Optimal control Numerical treatment and optimal control of Hepatitis B virus spatio-temporal model [(Articles in Press)]
  • Optimal control An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [(Articles in Press)]
  • Optimal control problem A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components [Volume 9, Issue 2, 2021, Pages 446-466]
  • Optimal control problem Numerical solution of optimal control problem for economic growth model using RBF collocation method [Volume 10, Issue 2, 2022, Pages 327-337]
  • Optimal control problem Optimal control of Volterra integro-differential equations based on interpolation polynomials and collocation method [Volume 11, Issue 1, 2023, Pages 52-64]
  • Optimal control problem‎ Generalized B-spline functions ‎method‎‎ for solving optimal control problems [Volume 2, Issue 4, 2014, Pages 243-255]
  • Optimal Control Problems Optimization with the time-dependent Navier-Stokes equations as constraints [Volume 3, Issue 2, 2015, Pages 87-98]
  • Optimal Control Problems An application of differential transform method for solving nonlinear optimal control problems [Volume 3, Issue 3, 2015, Pages 200-217]
  • Optimal Control Problems Numerical solution of optimal control problems by using a new second kind Chebyshev wavelet [Volume 4, Issue 2, 2016, Pages 162-169]
  • Optimal Control Problems Solving fractional optimal control problems using Genocchi polynomials [Volume 9, Issue 1, 2021, Pages 79-93]
  • Optimal Control Problems Application of fuzzy systems on the numerical solution of the elliptic PDE-constrained optimal control problems [Volume 10, Issue 2, 2022, Pages 351-371]
  • Optimal convergence Finite element solution of a class of parabolic integro-differential equations with inhomogeneous jump conditions using FreeFEM++ [Volume 12, Issue 2, 2024, Pages 314-328]
  • Optimal Fractional Order Controller Optimal fractional order PID controller performance in chaotic system of HIV disease: particle swarm and genetic algorithms optimization method [Volume 11, Issue 2, 2023, Pages 207-224]
  • Optimal homotopy analysis method An efficient technique based on the HAM with Green's function for a class of nonlocal elliptic boundary value problems [Volume 9, Issue 3, 2021, Pages 722-735]
  • Optimal Homotopy Asymptotic method The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation [Volume 4, Issue 1, 2016, Pages 43-53]
  • Optimal Homotopy Asymptotic method Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for Abel Volterra integral equation of the second kind [Volume 8, Issue 4, 2020, Pages 770-780]
  • Optimality conditions Application of fuzzy systems on the numerical solution of the elliptic PDE-constrained optimal control problems [Volume 10, Issue 2, 2022, Pages 351-371]
  • Optimal Lie system Plasma particles dispersion based on Bogoyavlensky-Konopelchenko mathematical model [Volume 12, Issue 3, 2024, Pages 561-570]
  • Optimal shape Application of the method of fundamental solutions for designing the optimal shape in heat transfer [Volume 9, Issue 1, 2021, Pages 273-288]
  • Optimal system Lie symmetry analysis for Kawahara-KdV equations [Volume 1, Issue 2, 2013, Pages 135-145]
  • Optimal system Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • Optimal system Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation [Volume 11, Issue 1, 2023, Pages 175-182]
  • Optimization method An optimum solution for multi-dimensional distributed-order fractional differential equations [Volume 11, Issue 3, 2023, Pages 548-563]
  • Optimization method Application of general Lagrange scaling functions for evaluating the approximate solution time-fractional diffusion-wave equations [(Articles in Press)]
  • Option pricing European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]
  • Option pricing A compact difference scheme for time-fractional Black-Scholes equation with time-dependent parameters under the CEV model: American options [Volume 9, Issue 2, 2021, Pages 523-552]
  • Option pricing Stochastic analysis and invariant subspace method for handling option pricing with numerical simulation [Volume 10, Issue 2, 2022, Pages 419-430]
  • Option pricing Haar wavelet-based valuation method for pricing European options [Volume 11, Issue 2, 2023, Pages 281-290]
  • Option pricing A generalized adaptive Monte Carlo algorithm based on a two-step iterative method for linear systems and its application to option pricing [Volume 12, Issue 4, 2024, Pages 687-702]
  • Option pricing Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • Order of Convergence A New Three-Step Optimal Without Memory Iterative Scheme for Solving Non-Linear Equations with Basins of Attraction [(Articles in Press)]
  • Order of Convergence High-order numerical solution for a class of nonlinear Fredholm integro-differential equations [(Articles in Press)]
  • Ordinary differential equations A continuous approximation fitting to the discrete distributions using ODE [Volume 3, Issue 1, 2015, Pages 45-50]
  • Ordinary differential equations Solving initial value problems using multilayer perceptron artificial neural networks [Volume 13, Issue 1, 2025, Pages 13-24]
  • Ornstein Uhlenbeck process A simulation study of the COVID-19 pandemic based on the Ornstein-Uhlenbeck processes [Volume 10, Issue 3, 2022, Pages 738-745]
  • Orthogonal collocation NUMERICAL STUDY OF ASTROPHYSICS EQUATIONS USING BESSEL COLLOCATION METHODS OF FIRST KIND [(Articles in Press)]
  • Orthogonal polynomials Fractional Chebyshev differential equation on symmetric $lpha$ dependent interval‎ [Volume 12, Issue 2, 2024, Pages 226-235]
  • Orthogonal spline collocation methods (OSCM) A higher order orthogonal collocation technique for discontinuous two dimensional problems with Neumann boundary conditions [(Articles in Press)]
  • Orthonormal Bernstein polynomials A numerical study of electrohydrodynamic flow analysis in a circular cylindrical conduit using orthonormal Bernstein polynomials [Volume 5, Issue 4, 2017, Pages 280-300]
  • Oscillatory solutions Oscillatory behavior for nonlinear delay differential equation with several non-monotone arguments [Volume 8, Issue 1, 2020, Pages 14-27]
  • Oscillatory systems of fractional derivative Asymptotic method for solution of oscillatory fractional derivative [Volume 10, Issue 4, 2022, Pages 1123-1130]
  • Output feedback Matrix inverse eigenvalue problem for stabilization of fractional descriptor discrete-time linear systems by forward and propositional output feedback [Volume 8, Issue 4, 2020, Pages 745-761]

P

  • Padé technique VIM-Pad´e technique for solving nonlinear and delay initial value problems [Volume 9, Issue 3, 2021, Pages 749-761]
  • Parabolic equations Quality theorems on the solutions of quasilinear second-order parabolic equations with discontinuous coefficients [Volume 12, Issue 4, 2024, Pages 703-709]
  • Parabolic variational inequality An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Parameterization method Lie symmetry analysis for computing invariant manifolds associated with equilibrium solutions [Volume 12, Issue 2, 2024, Pages 266-286]
  • Parameters Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach (R1) [Volume 13, Issue 1, 2025, Pages 123-141]
  • Parametric form of a Fuzzy number Bernoulli wavelet method for numerical solutions of system of fuzzy integral equations [Volume 9, Issue 3, 2021, Pages 846-857]
  • Parametric state feedback Partial eigenvalue assignment of descriptor fractional discrete-time linear systems by parametric state feedback [Volume 9, Issue 2, 2021, Pages 375-392]
  • Partial differential equation Space-time radial basis function collocation method for one-dimensional advection-diffusion problem [Volume 6, Issue 4, 2018, Pages 426-437]
  • Partial differential equation A denoising PDE model based on isotropic diffusion and total variation models [Volume 8, Issue 4, 2020, Pages 815-826]
  • Partial differential equation (PDE) Conformable double Laplace transform method for solving conformable fractional partial differential equations [Volume 9, Issue 3, 2021, Pages 908-918]
  • Partial differential‎ equation Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation [Volume 7, Issue 1, 2019, Pages 54-68]
  • Partial eigenvalue assignment Partial eigenvalue assignment of descriptor fractional discrete-time linear systems by parametric state feedback [Volume 9, Issue 2, 2021, Pages 375-392]
  • Partial integro-differential equation Numerical solution of Convection-Diffusion equations with memory term based on sinc method [Volume 6, Issue 3, 2018, Pages 380-395]
  • Partial integro-differential equation Analysis of meshless local radial point interpolant on a model in population dynamics [Volume 7, Issue 2, 2019, Pages 276-288]
  • Partial integro-differential equation Cubic B-splines collocation method for solving a partial integro-differential equation with a weakly singular kernel [Volume 7, Issue 3, 2019, Pages 497-510]
  • Partial integro-differential equations‎ A numerical method for partial fractional Fredholm integro-differential equations [Volume 7, Issue 2, 2019, Pages 152-162]
  • Partially ordered set Existence and uniqueness of positive and nondecreasing solution for nonlocal fractional boundary value problem [Volume 3, Issue 2, 2015, Pages 123-133]
  • Particle swarm algorithm A new methodology to estimate constant elasticity of variance [Volume 9, Issue 4, 2021, Pages 1059-1068]
  • Particle swarm optimization algorithm Optimal fractional order PID controller performance in chaotic system of HIV disease: particle swarm and genetic algorithms optimization method [Volume 11, Issue 2, 2023, Pages 207-224]
  • Partition THE DYNAMICAL SYSTEMS IN PRODUCT LUKASIEWICZ SEMIRINGS [(Articles in Press)]
  • Pattern recognition A DYNAMIC NEURO-FUZZY APPROACH FOR PATTERN CLASSIFICATION [(Articles in Press)]
  • PDE-constrained optimization Optimization with the time-dependent Navier-Stokes equations as constraints [Volume 3, Issue 2, 2015, Pages 87-98]
  • Pearson's family distribution A continuous approximation fitting to the discrete distributions using ODE [Volume 3, Issue 1, 2015, Pages 45-50]
  • PEC methods Nordsieck representation of high order predictor-corrector Obreshkov methods and their implementation [Volume 7, Issue 1, 2019, Pages 16-27]
  • Period function The monotonicity and convexity of the period function for a class of symmetric Newtonian systems of degree 8 [Volume 10, Issue 1, 2022, Pages 236-258]
  • Periodic-like solution The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]
  • Periodic orbit Stability analysis of SAIR mathematical model with general incidence rates and temporary immunity [(Articles in Press)]
  • Perturbation Study of the non-Newtonian behaviour of Reiner Rivlin relative to power law in arterial stenosis [Volume 10, Issue 4, 2022, Pages 928-941]
  • Perturbation expansion Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension [Volume 3, Issue 2, 2015, Pages 134-146]
  • Perturbed Klein-Gordon equation Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation [Volume 7, Issue 2, 2019, Pages 266-275]
  • Perturbed mKdV-KS equation Approximate symmetry group analysis and similarity reductions of the perturbed mKdV-KS equation [Volume 11, Issue 1, 2023, Pages 175-182]
  • Petrov-Galerkin method A new operational matrix of Muntz-Legendre polynomials and Petrov-Galerkin method for solving fractional Volterra-Fredholm integro-differential equations [Volume 8, Issue 3, 2020, Pages 408-423]
  • Phenyl glycidyl ether The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Picard Fuch equations Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics [(Articles in Press)]
  • Picard iteration Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions [Volume 8, Issue 4, 2020, Pages 610-638]
  • Picard iteration technique A Chebyshev Wavelet Approach to the Generalized Time-Fractional Burgers-Fisher Equation [(Articles in Press)]
  • Picard’s iteration method A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Piecewise continuous kernel Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method [Volume 12, Issue 1, 2024, Pages 189-195]
  • Piecewise linear differential system Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics [(Articles in Press)]
  • P-Laplacian operator Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems [Volume 2, Issue 4, 2014, Pages 205-215]
  • P-Laplacian operator Inverse nodal problem for p-Laplacian with two potential functions [Volume 6, Issue 1, 2018, Pages 19-29]
  • P-Laplacian operator On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter [Volume 9, Issue 4, 2021, Pages 1001-1012]
  • P-Laplacian operator Study of p-Laplacian hybrid fractional differential equations involving the generalized Caputo proportional fractional derivative [(Articles in Press)]
  • Poincare return map Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics [(Articles in Press)]
  • Pollutants An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [(Articles in Press)]
  • Pollution Simulations of transport in one dimension [Volume 5, Issue 3, 2017, Pages 189-200]
  • Polynomial approximation Numerical solution of fractional Riesz space telegraph equation [Volume 9, Issue 1, 2021, Pages 187-210]
  • Polytropic fluid NUMERICAL STUDY OF ASTROPHYSICS EQUATIONS USING BESSEL COLLOCATION METHODS OF FIRST KIND [(Articles in Press)]
  • Pontryagin Maximum Principle Optimal control of double delayed HIV-1 infection model of fighting a virus with another virus [Volume 9, Issue 3, 2021, Pages 874-885]
  • Population growth model Jacobi wavelets method for numerical solution of fractional population growth model [Volume 11, Issue 2, 2023, Pages 387-398]
  • Porous Fin Studying the thermal analysis of rectangular cross section porous fin: A numerical approach [Volume 10, Issue 2, 2022, Pages 338-350]
  • Porous medium Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]
  • Positive solution Existence and uniqueness of positive and nondecreasing solution for nonlocal fractional boundary value problem [Volume 3, Issue 2, 2015, Pages 123-133]
  • Positive solution Existence and properties of positive solutions for Caputo fractional difference equation and applications [Volume 10, Issue 3, 2022, Pages 567-579]
  • Positive solution q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem [Volume 13, Issue 1, 2025, Pages 73-94]
  • Positive solution‎, ‎Fixed point theorem Positive solutions for discrete fractional initial value problem [Volume 4, Issue 4, 2016, Pages 285-297]
  • Positive solutions Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations [Volume 5, Issue 2, 2017, Pages 158-169]
  • Post-Widder transform L2-transforms for boundary value problems [Volume 6, Issue 2, 2018, Pages 176-185]
  • Power option Option pricing under the double stochastic volatility with double jump model [Volume 5, Issue 3, 2017, Pages 224-231]
  • Power series method Power series solutions of fractional Lotka-Volterra equation [(Articles in Press)]
  • Prabhakar fractional derivative On asymptotic stability of Prabhakar fractional differential systems [Volume 4, Issue 4, 2016, Pages 276-284]
  • Predator-prey model Threshold harvesting policy and delayed ratio-dependent functional response predator-prey model [Volume 4, Issue 1, 2016, Pages 1-18]
  • Predator-prey model Interpolating MLPG method to investigate predator-prey population dynamic with complex characters [(Articles in Press)]
  • Predator–prey model Dynamics and bifurcation control of a fractional-order delayed predator–prey model with an omnivore [(Articles in Press)]
  • Prediction error expansion Convolutional neural network-based high capacity predictor estimation for reversible data embedding in cloud network [Volume 12, Issue 3, 2024, Pages 585-598]
  • Prescribed temperature Analytical solution of MHD flow and heat transfer over a permeable nonlinearly stretching sheet in a porous medium filled by a nanofluid [Volume 4, Issue 1, 2016, Pages 70-98]
  • Prey Integrated Pests Management and Food Security: A Mathematical Analysis [(Articles in Press)]
  • Prey-predator model Steady state bifurcation in a cross diffusion prey-predator model [Volume 11, Issue 2, 2023, Pages 254-262]
  • Prey-predator model Hopf bifurcation and Turing instability in a cross-diffusion prey-predator system with group defense behavior [Volume 13, Issue 1, 2025, Pages 294-306]
  • Prey-predator model A nonlinear mathematical model of the delayed predator-prey system that includes the factors of intraspecific rivalry among predator species, the fear effect, and the Holling type-IV functional response [(Articles in Press)]
  • Probability density functions A continuous approximation fitting to the discrete distributions using ODE [Volume 3, Issue 1, 2015, Pages 45-50]
  • Product integration Asymptotic decomposition method for fractional order Riccati differential equation [Volume 9, Issue 1, 2021, Pages 63-78]
  • Product Simpson integration method Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients [Volume 7, Issue 1, 2019, Pages 1-15]
  • Product trapezoidal integration rule Numerical solution of Convection-Diffusion equations with memory term based on sinc method [Volume 6, Issue 3, 2018, Pages 380-395]
  • Projected Differential Transform Method PDTM approach to solve Black Scholes equation for powered ML-Payoff function [Volume 10, Issue 2, 2022, Pages 320-326]
  • Prufer substitution Inverse nodal problem for p-Laplacian with two potential functions [Volume 6, Issue 1, 2018, Pages 19-29]
  • Pseudo-differential operators A novel local meshless scheme based on the radial basis function for pricing multi-asset options [Volume 10, Issue 3, 2022, Pages 716-725]
  • Pseudo-spectral method A pseudo-spectral based method for time-fractional advection-diffusion equation [Volume 8, Issue 3, 2020, Pages 454-467]
  • Pseudo-spectral method Numerical study of the non-linear time fractional Klein-Gordon equation using the Pseudo-spectral Method [(Articles in Press)]
  • Pseudospectral method An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations [Volume 6, Issue 3, 2018, Pages 280-294]
  • Pseudospectral method A pseudospectral Sinc method for numerical investigation of the nonlinear time-fractional Klein-Gordon and sine-Gordon equations [Volume 11, Issue 2, 2023, Pages 357-368]
  • Put option European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]

Q

  • Q‎‎uasilinearization ‎technique N‎umerical ‎q‎uasilinearization scheme ‎for the integral equation form of the Blasius equation [Volume 6, Issue 2, 2018, Pages 141-156]
  • Quadratic B-spline An approximation to the solution of one-dimensional hyperbolic telegraph equation based on the collocation of quadratic B-spline functions [Volume 9, Issue 4, 2021, Pages 1198-1213]
  • Quadratic programming ON THE EFFICIENCY OF ALGORITHM FOR SOLVING COMPLEX QUADRATIC DOUBLE–RATIO MINIMAX OPTIMIZATION PROBLEM [(Articles in Press)]
  • Quadrature On the numerical treatment and analysis of Hammerstein integral equation [Volume 9, Issue 2, 2021, Pages 493-510]
  • Quadrature formula On the numerical scheme for solving non-linear two-dimensional Hammerstein integral equations [Volume 10, Issue 4, 2022, Pages 1059-1074]
  • Quadrature method Computing high-index eigenvalues for the Sturm-Liouville equation with Robin boundary conditions [(Articles in Press)]
  • Quality-of-Service (QoS) A priority-based service placement policy for Fog-Cloud computing systems [Volume 7, Issue 4 (Special Issue), 2019, Pages 521-534]
  • Quantum algoritham A Comprehensive Review on Quantum Computing and Algorithms [(Articles in Press)]
  • Quantum computers A Comprehensive Review on Quantum Computing and Algorithms [(Articles in Press)]
  • Quartic polynomial differential systems ZERO-HOPF BIFURCATION IN A FOUR-DIMENSIONAL QUARTIC POLYNOMIAL DIFFERENTIAL SYSTEM VIA AVERAGING THEORY OF THIRD ORDER [(Articles in Press)]
  • Quasi-hat function A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
  • Quasi-interpolant On the numerical treatment and analysis of Hammerstein integral equation [Volume 9, Issue 2, 2021, Pages 493-510]
  • Quasi-interpolation Application of cubic B-spline quasi-interpolation for solving timefractional partial differential equation [Volume 8, Issue 4, 2020, Pages 781-793]
  • Quasilinearization Numerical solution of variational problems via Haar wavelet quasilinearization technique [Volume 4, Issue 3, 2016, Pages 249-260]
  • Quasilinearization An optimal B-spline collocation technique for numerical simulation of viscous coupled Burgers’ equation [Volume 10, Issue 4, 2022, Pages 1027-1045]
  • Quasilinearization An effective Legendre wavelet technique for the time-fractional Fisher equation [(Articles in Press)]
  • Quasi-linearization Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem [Volume 7, Issue 4 (Special Issue), 2019, Pages 580-588]
  • Quasilinearization method A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Quasilinearization method An efficient high-order compact finite difference scheme for Lane-Emden-type equations [Volume 13, Issue 1, 2025, Pages 107-122]
  • Quasilinearization technique Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method [Volume 10, Issue 4, 2022, Pages 1086-1096]
  • Quasilinear Recurrence Equations and Optimization SOLVING THE OPTIMIZING PARAMETERS PROBLEM FOR NON-LINEAR DATASETS USING THE HIGH-ORDER GENERAL LEAST DEVIATIONS METHOD (GLDM) ALGORITHM [(Articles in Press)]
  • Quasi-wavelet Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • Quintic B-spline Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]
  • Quintic B-spline A new numerical algorithm based on Quintic B-Spline and adaptive time integrator for Coupled Burger’s equation [Volume 11, Issue 1, 2023, Pages 130-142]
  • Quintic B-spline method Quintic B-Spline Method for Numerical Solution of Second Order Singularly Perturbed Delay Differential Equations [(Articles in Press)]

R

  • Radial basis function A method based on the meshless approach for singularly perturbed differential-difference equations with Boundary layers [Volume 6, Issue 3, 2018, Pages 295-311]
  • Radial basis function Analysis of meshless local radial point interpolant on a model in population dynamics [Volume 7, Issue 2, 2019, Pages 276-288]
  • Radial basis function Meshless local radial point interpolation (MLRPI) to two dimensional wave equation with Neumann’s boundary conditions [Volume 8, Issue 1, 2020, Pages 155-172]
  • Radial basis function Collocation method based on radial basis functions via symmetric variable shape parameter for solving a particular class of delay differential equations [Volume 10, Issue 1, 2022, Pages 144-157]
  • Radial basis function Infinitely smooth multiquadric RBFs combined high-resolution compact discretization for nonlinear 2D elliptic PDEs on a scattered grid network [Volume 11, Issue 4, 2023, Pages 753-775]
  • Radial basis function, Finite difference method Numerical investigation based on a local meshless radial point interpolation for solving coupled nonlinear reaction-diffusion system [Volume 9, Issue 2, 2021, Pages 358-374]
  • Radial basis function (RBF) The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • Radial basis functions An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions [Volume 4, Issue 4, 2016, Pages 323-334]
  • Radial basis functions An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation [Volume 5, Issue 4, 2017, Pages 301-309]
  • Radial basis functions Space-time radial basis function collocation method for one-dimensional advection-diffusion problem [Volume 6, Issue 4, 2018, Pages 426-437]
  • Radial basis functions Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients [Volume 7, Issue 1, 2019, Pages 1-15]
  • Radial basis functions Application of the method of fundamental solutions for designing the optimal shape in heat transfer [Volume 9, Issue 1, 2021, Pages 273-288]
  • Radial basis functions Solving the forward-backward heat equation with a non-overlapping domain decomposition method based on multiquadric RBF meshfree method [Volume 9, Issue 4, 2021, Pages 1083-1099]
  • Radial basis functions Radial basis functions method for nonlinear time- and space-fractional Fokker-Planck equation [Volume 9, Issue 4, 2021, Pages 1128-1147]
  • Radial basis functions A meshless technique based on the radial basis functions for solving systems of partial differential equations [Volume 10, Issue 2, 2022, Pages 526-537]
  • Radial basis functions Choosing the best value of shape parameter in radial basis functions by Leave-P-Out Cross Validation [Volume 11, Issue 1, 2023, Pages 108-129]
  • Radial basis functions A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]
  • Ramped velocity and temperature Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature [Volume 10, Issue 2, 2022, Pages 372-395]
  • Random forest Using synthetic data and dimensionality reduction in high-dimensional classification via logistic regression [Volume 7, Issue 4 (Special Issue), 2019, Pages 626-634]
  • Random impulsive Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays [Volume 10, Issue 1, 2022, Pages 191-199]
  • Random variable Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]
  • Ratio-dependent functional response model Discretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos [Volume 6, Issue 2, 2018, Pages 248-265]
  • Rational On the travelling wave solutions of Ostrovsky equation [Volume 8, Issue 2, 2020, Pages 401-407]
  • Rational Chebyshev functions A rational Chebyshev functions approach for Fredholm-Volterra integro-differential equations [Volume 3, Issue 4, 2015, Pages 284-297]
  • Rational Chebyshev functions Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]
  • Rayleigh Approximate distributed controllability of nonlocal Rayleigh beam [Volume 9, Issue 1, 2021, Pages 180-186]
  • RBF A numerical method for KdV equation using rational radial basis functions [Volume 11, Issue 2, 2023, Pages 303-318]
  • RBF collocation A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo [Volume 4, Issue 2, 2016, Pages 116-127]
  • RBF collocation A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • RBF collocation Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]
  • RBF collocation method Numerical solution of optimal control problem for economic growth model using RBF collocation method [Volume 10, Issue 2, 2022, Pages 327-337]
  • RBF method Meshless approach for pricing Islamic Ijarah under stochastic interest rate models [Volume 9, Issue 4, 2021, Pages 1028-1041]
  • Reaction-diffusion A numerical treatment of a reaction-diffusion model of spatial pattern in the embryo [Volume 4, Issue 2, 2016, Pages 116-127]
  • Reaction-diffusion A numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon [Volume 6, Issue 1, 2018, Pages 98-110]
  • Reaction-diffusion Accelerated fitted operator finite difference method for singularly perturbed parabolic reaction-diffusion problems [Volume 9, Issue 3, 2021, Pages 886-898]
  • Reaction-Diffusion model Mathematical modelling of the epidemiology of Corona Virus Infection with constant spatial diffusion term in Ghana. [(Articles in Press)]
  • Reaction-Diffusion Problem An ABC algorithm based approach to solve a nonlinear inverse reaction-diffusion problem associate with the ecological invasions [Volume 11, Issue 1, 2023, Pages 143-160]
  • Recombinant virus Optimal control of double delayed HIV-1 infection model of fighting a virus with another virus [Volume 9, Issue 3, 2021, Pages 874-885]
  • Reconstruction of variational iteration method A new numerical scheme for solving systems of integro-differential equations [Volume 1, Issue 2, 2013, Pages 108-119]
  • Reduced Differential Transform Method Numerical solution of time-dependent foam drainage equation (FDE) [Volume 3, Issue 2, 2015, Pages 111-122]
  • Reduced Differential Transform Method Approximate analytic compacton solutions of the K(p, p) equation by reduced differential transform method [Volume 8, Issue 4, 2020, Pages 827-839]
  • Reduced Differential Transform Method Analytical approximations of one-dimensional hyperbolic equation with non-local integral conditions by reduced differential transform method [Volume 8, Issue 3, 2020, Pages 537-552]
  • Reduction equations Exact solutions of diffusion equation on sphere [Volume 10, Issue 3, 2022, Pages 789-798]
  • Regularization An ABC algorithm based approach to solve a nonlinear inverse reaction-diffusion problem associate with the ecological invasions [Volume 11, Issue 1, 2023, Pages 143-160]
  • Regularized Prabhakar derivative Regularized Prabhakar derivative for partial differential equations [Volume 10, Issue 3, 2022, Pages 726-737]
  • Regularized problem marching approach Unknown functions estimation in a parabolic equation arises from Diffusion Tensor Magnetic Resonance Imaging [Volume 7, Issue 3, 2019, Pages 383-395]
  • Reiner-Rivlin Fluid Study of the non-Newtonian behaviour of Reiner Rivlin relative to power law in arterial stenosis [Volume 10, Issue 4, 2022, Pages 928-941]
  • Relaxation FLOW OF GAS-CONDENSATE SYSTEM IN A TIME-DEPENDENT DEFORMABLE RESERVOIR WITH ROCK CREEP EFFECT IN THE WELL BOTTOMHOLE ZONE [(Articles in Press)]
  • Reproducing kernel method Solving multi-order fractional differential equations by reproducing kernel Hilbert space method [Volume 4, Issue 3, 2016, Pages 170-190]
  • Reproducing kernel method Mixed reproducing kernel-based iterative approach for nonlinear boundary value problems with nonlocal conditions [Volume 9, Issue 3, 2021, Pages 649-658]
  • Reproducing kernel method Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems [Volume 10, Issue 4, 2022, Pages 942-953]
  • Reproducing kernel method A new Bernstein-reproducing kernel method for solving forced Duffing equations with integral boundary conditions [Volume 12, Issue 2, 2024, Pages 329-337]
  • Reproducing kernel method A Reproducing Kernel Method for Solving Nonlocal Functional Differential Equations with Delayed or Advanced Arguments [(Articles in Press)]
  • Reproduction number Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]
  • Reproduction number A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]
  • Reproductive ratio Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach (R1) [Volume 13, Issue 1, 2025, Pages 123-141]
  • Residual method Residual Method for Nonlinear System of Initial Value Problems [Volume 8, Issue 4, 2020, Pages 733-744]
  • Residual method Improved residual method for approximating Bratu problem [Volume 11, Issue 3, 2023, Pages 535-547]
  • Residuals and Forecasting SOLVING THE OPTIMIZING PARAMETERS PROBLEM FOR NON-LINEAR DATASETS USING THE HIGH-ORDER GENERAL LEAST DEVIATIONS METHOD (GLDM) ALGORITHM [(Articles in Press)]
  • Resistance to advancement New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [(Articles in Press)]
  • Reversible data hiding Convolutional neural network-based high capacity predictor estimation for reversible data embedding in cloud network [Volume 12, Issue 3, 2024, Pages 585-598]
  • RGB A NOVEL FRAMEWORK FOR BREAST CANCER SCORING BASED ON MACHINE LEARNING TECHNIQUE USING IMMUNOHISTOCHEMISTRY IMAGES [(Articles in Press)]
  • Riba Meshless approach for pricing Islamic Ijarah under stochastic interest rate models [Volume 9, Issue 4, 2021, Pages 1028-1041]
  • Riccati Solitary waves with two new nonlocal boussinesq types equations using a couple of integration schemes [Volume 12, Issue 4, 2024, Pages 749-762]
  • Riccati equation The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]
  • Riccati equation An operational vector method based on Chebyshev wavelet and hybrid functions for Riccati differential equations: Application in nonlinear physics equations [Volume 12, Issue 1, 2024, Pages 77-88]
  • Riccati equation mapping method Explicit exact solutions for variable coefficient Broer-Kaup equations [Volume 3, Issue 3, 2015, Pages 192-199]
  • Riccati equation method Dynamic Insights into Gaseous Diffusion: Analytical Soliton and Wave Solutions via Chaffee–Infante Equation in Homogeneous Media [(Articles in Press)]
  • Riccati equations Solutions structure of integrable families of Riccati equations and their applications to the perturbed nonlinear fractional Schrodinger equation [Volume 4, Issue 4, 2016, Pages 261-275]
  • Ricceri's Variational Principle Existence results of infinitely many solutions for a class of p(x)-biharmonic problems [Volume 5, Issue 4, 2017, Pages 310-323]
  • Ricci soliton Exact solutions of diffusion equation on sphere [Volume 10, Issue 3, 2022, Pages 789-798]
  • Riemann-Liouville and Caputo derivatives Fractional Chebyshev differential equation on symmetric $lpha$ dependent interval‎ [Volume 12, Issue 2, 2024, Pages 226-235]
  • Riemann-Liouville-Caputo fractional derivative Adaptive-grid technique for the numerical solution of a class of fractional boundary-value-problems [Volume 12, Issue 2, 2024, Pages 338-349]
  • Riemann Liouville derivative Exact solutions and numerical simulations of time-fractional Fokker-Plank equation for special stochastic process [Volume 9, Issue 1, 2021, Pages 258-272]
  • Riemann - Liouville fractional derivative Solution to time fractional generalized KdV of order 2q+1 and system of space fractional PDEs [Volume 5, Issue 3, 2017, Pages 246-255]
  • Riemann-Liouville fractional derivative Numerical solution for boundary value problem of fractional order with approximate Integral and derivative [Volume 2, Issue 3, 2014, Pages 195-204]
  • Riemann-Liouville fractional derivative On asymptotic stability of Prabhakar fractional differential systems [Volume 4, Issue 4, 2016, Pages 276-284]
  • Riemann-Liouville fractional derivative On asymptotic stability of Weber fractional differential systems [Volume 6, Issue 1, 2018, Pages 30-39]
  • Riemann-Liouville fractional derivative Numerical solution of fractional Riesz space telegraph equation [Volume 9, Issue 1, 2021, Pages 187-210]
  • Riemann-Liouville fractional integral Impact of Fractional Order on Reaction Rates: Solutions to Kinetic Equations with Incomplete $leph$-Function [(Articles in Press)]
  • Riemann-Liouville fractional integral operators Bounds of Riemann-Liouville fractional integral operators [Volume 9, Issue 2, 2021, Pages 637-648]
  • Riemann-Liouville fractional integrals K-fractional integral inequalities of Hadamard type for (h − m)−convex functions [Volume 8, Issue 1, 2020, Pages 119-140]
  • Riemann-Liouville k−fractional integrals K-fractional integral inequalities of Hadamard type for (h − m)−convex functions [Volume 8, Issue 1, 2020, Pages 119-140]
  • Riemann-Stieltjes integral An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems [Volume 9, Issue 4, 2021, Pages 940-958]
  • Riesz derivative A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]
  • Riesz fractional advection-diffusion An efficient approximate solution of Riesz fractional advection-diffusion equation [Volume 10, Issue 2, 2022, Pages 307-319]
  • Riesz fractional derivative Two explicit and implicit finite difference schemes for time fractional Riesz space diffusion equation [Volume 10, Issue 3, 2022, Pages 799-815]
  • Riesz fractional equation Numerical solution of fractional Riesz space telegraph equation [Volume 9, Issue 1, 2021, Pages 187-210]
  • Riesz space fractional derivatives On the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative [Volume 4, Issue 1, 2016, Pages 54-69]
  • Ritz method A numerical technique for solving a class of 2D variational problems using Legendre spectral method [Volume 6, Issue 4, 2018, Pages 471-482]
  • Rivlin erickson fluid Analyzing MHD boundary layer flow of Rivlin Ericksen fluid over a stretching sheet by applying Taylor Wavelet Approach [(Articles in Press)]
  • RK4 method Multi-Step DTM simulation of Transesterification reactions model [(Articles in Press)]
  • Robin boundary condition Computing high-index eigenvalues for the Sturm-Liouville equation with Robin boundary conditions [(Articles in Press)]
  • Robot Localization A NEW ALGORITHM FOR INDOOR ROBOT LOCALIZATION USING TURNING FUNCTION [(Articles in Press)]
  • ROBUST A ROBUST NUMERICAL METHOD TO FIND THE SOLUTIONS OF TIME-FRACTIONAL KLEIN-CORDON EQUATION [(Articles in Press)]
  • Rocks creeping FLOW OF GAS-CONDENSATE SYSTEM IN A TIME-DEPENDENT DEFORMABLE RESERVOIR WITH ROCK CREEP EFFECT IN THE WELL BOTTOMHOLE ZONE [(Articles in Press)]
  • Rod equation Direct and inverse problems of ROD equation using finite element method and a correction technique [Volume 12, Issue 4, 2024, Pages 651-668]
  • Rogue wave Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis [Volume 10, Issue 4, 2022, Pages 905-913]
  • R-order convergence A two-step method adaptive with memory with eighth-order for solving nonlinear equations and its dynamic [Volume 10, Issue 4, 2022, Pages 1007-1026]
  • Rossler differential equations An interval chaos insight to iterative decomposition method for Rossler differential equation by considering stable uncertain coefficients [Volume 10, Issue 4, 2022, Pages 1115-1122]
  • Rumor spread Rumor spread dynamics and its sensitivity analysis under the influence of the Caputo fractional derivatives [Volume 12, Issue 2, 2024, Pages 236-265]
  • Runge-Kutta formula Chebyshev Spectral Collocation Method for Computing Numerical Solution of Telegraph Equation [Volume 1, Issue 1, 2013, Pages 16-29]
  • Runge-Kutta method A numerical method for KdV equation using rational radial basis functions [Volume 11, Issue 2, 2023, Pages 303-318]
  • Runge-Kutta method Numerical Solution of Linear and Nonlinear Schrödinger Equation via Shifted Chebyshev Collocation Method [(Articles in Press)]
  • Runge-Kutta method New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [(Articles in Press)]
  • Runge-Kutta methods Interval structure of Runge-Kutta methods for solving optimal control problems with uncertainties [Volume 7, Issue 2, 2019, Pages 235-251]
  • Runge-Kutta methods An interval version of the Kuntzmann-Butcher method for solving the initial value problem [Volume 10, Issue 1, 2022, Pages 44-60]
  • Runge Kutta of fifth order method A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]
  • Rung-Kutta methods 2-stage explicit total variation diminishing preserving Runge-Kutta methods [Volume 1, Issue 1, 2013, Pages 30-38]

S

  • SAIR mathematical model Stability analysis of SAIR mathematical model with general incidence rates and temporary immunity [(Articles in Press)]
  • Scattered grid network Infinitely smooth multiquadric RBFs combined high-resolution compact discretization for nonlinear 2D elliptic PDEs on a scattered grid network [Volume 11, Issue 4, 2023, Pages 753-775]
  • Schauder fixed point Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem [Volume 9, Issue 4, 2021, Pages 1042-1058]
  • Schauder fixed point theorem The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space [Volume 5, Issue 3, 2017, Pages 232-245]
  • Schauder fixed point theorem $L^p$-existence of mild solutions of fractional differential equations in Banach space [Volume 7, Issue 1, 2019, Pages 105-116]
  • Schauder fixed point theorem Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition [Volume 12, Issue 1, 2024, Pages 89-99]
  • Schauder fixed point theorem Existence result for fuzzy form of the equation governing unsteady motion of solid particles in fluid medium [(Articles in Press)]
  • Schauder's fixed point theorem Study of p-Laplacian hybrid fractional differential equations involving the generalized Caputo proportional fractional derivative [(Articles in Press)]
  • Schrodinger-Boussinesq system The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system [Volume 6, Issue 2, 2018, Pages 215-237]
  • Schr"{o}dinger equation On the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative [Volume 4, Issue 1, 2016, Pages 54-69]
  • Schrodinger equation Infinitely smooth multiquadric RBFs combined high-resolution compact discretization for nonlinear 2D elliptic PDEs on a scattered grid network [Volume 11, Issue 4, 2023, Pages 753-775]
  • Schrodinger model Investigation of Optical Solitons in a Weakly Nonlocal Schrodinger Equation with Parabolic Nonlinearity [(Articles in Press)]
  • Schur-convex function Comparing present and accumulated value of annuities with different interest rates [Volume 7, Issue 4 (Special Issue), 2019, Pages 621-625]
  • SDDEs Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • Second Kind Chebyshev Wavelet Numerical solution of optimal control problems by using a new second kind Chebyshev wavelet [Volume 4, Issue 2, 2016, Pages 162-169]
  • Second-kind Chebyshev wavelets Wavelet-Picard iterative method for solving singular fractional nonlinear partial differential equations with initial and boundary conditions [Volume 8, Issue 4, 2020, Pages 610-638]
  • Second order Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • Segregation A combining method for the approximate solution of spatial segregation limit of reaction-diffusion systems [Volume 9, Issue 2, 2021, Pages 410-426]
  • SEIR model Dynamics of an SEIR epidemic model with saturated incidence rate including stochastic influence [Volume 12, Issue 2, 2024, Pages 350-360]
  • SEIR model Numerical Analysis of SEIR epidemic model with fractional order [(Articles in Press)]
  • Self accelerating parameter A two-step method adaptive with memory with eighth-order for solving nonlinear equations and its dynamic [Volume 10, Issue 4, 2022, Pages 1007-1026]
  • Self-excited attractors and Hidden attractors Hopf Bifurcation and Chaotic Attractors in Two Special Jerk System Cases [(Articles in Press)]
  • Semi-Algebraic Mode Analysis Semi-Algebraic mode analysis for finite element discretisations of the heat equation [Volume 9, Issue 1, 2021, Pages 146-158]
  • Semi-critical interval Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]
  • Semidefinite programming ON THE EFFICIENCY OF ALGORITHM FOR SOLVING COMPLEX QUADRATIC DOUBLE–RATIO MINIMAX OPTIMIZATION PROBLEM [(Articles in Press)]
  • Semi-discretization European and American put valuation via a high-order semi-discretization scheme [Volume 6, Issue 1, 2018, Pages 63-79]
  • Semilinear Banach space The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space [Volume 5, Issue 3, 2017, Pages 232-245]
  • Semilinear integro-differential fractional equations $L^p$-existence of mild solutions of fractional differential equations in Banach space [Volume 7, Issue 1, 2019, Pages 105-116]
  • Semi-oscillatory interval Distribution of zeros of solutions of sixth order (2 ≤ n ≤ 5)-points boundary value problem in terms of semi-critical intervals [Volume 8, Issue 2, 2020, Pages 294-304]
  • Semi-smooth Newton method Application of fuzzy systems on the numerical solution of the elliptic PDE-constrained optimal control problems [Volume 10, Issue 2, 2022, Pages 351-371]
  • Semi-smooth Newton method An efficient adaptive wavelet method for pricing time-fractional American option variational inequality [Volume 12, Issue 1, 2024, Pages 173-188]
  • Sensitivity analysis A mathematical analysis of Zika virus transmission with optimal control strategies [Volume 9, Issue 1, 2021, Pages 117-145]
  • Sensitivity analysis Rumor spread dynamics and its sensitivity analysis under the influence of the Caputo fractional derivatives [Volume 12, Issue 2, 2024, Pages 236-265]
  • Sensitivity analysis A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]
  • Sensitivity analysis Modeling and Simulation of COVID-19 Disease Dynamics via Caputo Fabrizio Fractional Derivative [(Articles in Press)]
  • Separation method Exploring Novel Solutions for the Generalized q-Deformed Wave Equation [(Articles in Press)]
  • Separation-Preserving operators A novel local meshless scheme based on the radial basis function for pricing multi-asset options [Volume 10, Issue 3, 2022, Pages 716-725]
  • Sequencing with one machine‎ A Hierarchical method to solve one machine multicriteria sequencing problem [Volume 13, Issue 1, 2025, Pages 327-338]
  • Service placement A priority-based service placement policy for Fog-Cloud computing systems [Volume 7, Issue 4 (Special Issue), 2019, Pages 521-534]
  • Shape optimization An heuristic method for solving an inverse problem in semiconductors governed by a nonlinear coupled system [(Articles in Press)]
  • Shape Parameter Choosing the best value of shape parameter in radial basis functions by Leave-P-Out Cross Validation [Volume 11, Issue 1, 2023, Pages 108-129]
  • Shehu Transformation Exact and Iterative Solutions for DEs, Including Fokker-Planck and Newell-Whitehead-Segel Equations, Using Shehu Transform and HPM [(Articles in Press)]
  • Shifted Bernoulli polynomials An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [(Articles in Press)]
  • Shifted Chebyshev polynomial Accurate splitting approach to characterize the solution set of boundary layer problems [Volume 7, Issue 2, 2019, Pages 206-223]
  • Shifted Chebyshev polynomial A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Shifted Chebyshev polynomials Numerical Solution of Linear and Nonlinear Schrödinger Equation via Shifted Chebyshev Collocation Method [(Articles in Press)]
  • Shifted Chebyshev-Tau method A Shifted Chebyshev-Tau method for finding a time-dependent heat source in heat equation [Volume 8, Issue 1, 2020, Pages 1-13]
  • Shifted Gegenbauer polynomial NUMERICAL SOLVING OF MULTI- TERM TIME FRACTIONAL DIFFUSION-WAVE EQUATIONS USING SHIFTED GEGENBAUER SPECTRAL COLLOCATION METHOD [(Articles in Press)]
  • Shifted Grünwald approximation A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]
  • Shifted Legendre polynomial Solving Abel’s equations with the shifted Legendre polynomials [Volume 11, Issue 4, 2023, Pages 865-875]
  • Shifted Legendre polynomials Legendre-collocation spectral solver for variable-order fractional functional differential equations [Volume 8, Issue 1, 2020, Pages 99-110]
  • Shifted Legendre Tau method Numerical solution for solving fractional parabolic partial differential equations [Volume 10, Issue 1, 2022, Pages 121-143]
  • Shooting method Adaptive-grid technique for the numerical solution of a class of fractional boundary-value-problems [Volume 12, Issue 2, 2024, Pages 338-349]
  • Shortest path Shortest Path Problem With Ordinary Differential Equations Constrained [Volume 8, Issue 4, 2020, Pages 661-672]
  • Short message service Short message service remotely mobile device control [Volume 7, Issue 4 (Special Issue), 2019, Pages 545-565]
  • Showalter-type conditions Analytical solution for descriptor system in partial differential equations [Volume 9, Issue 2, 2021, Pages 467-479]
  • Shrinking projection Hybrid shrinking projection extragradient-like algorithms for equilibrium and fixed point problems [Volume 10, Issue 3, 2022, Pages 639-655]
  • Signal strength Mapping a new system for outdoor GSM signal strength [Volume 7, Issue 4 (Special Issue), 2019, Pages 535-544]
  • Similarity solutions Symmetry analysis and conservation laws for higher order CamassaHolm equation [Volume 8, Issue 2, 2020, Pages 364-372]
  • Simple equation method Obtaining soliton solutions of equations combined with the Burgers and equal width wave equations using a novel method [Volume 10, Issue 3, 2022, Pages 826-836]
  • Simulation Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach (R1) [Volume 13, Issue 1, 2025, Pages 123-141]
  • Simulation Integrated Pests Management and Food Security: A Mathematical Analysis [(Articles in Press)]
  • Simulation and Discussion Modeling and Simulation of COVID-19 Disease Dynamics via Caputo Fabrizio Fractional Derivative [(Articles in Press)]
  • Simultaneous block triangularization Stabilization of linear systems of delay differential equations by the delayed feedback method [Volume 7, Issue 2, 2019, Pages 302-318]
  • Sinc Collocation method Numerical solution of Convection-Diffusion equations with memory term based on sinc method [Volume 6, Issue 3, 2018, Pages 380-395]
  • Sinc Collocation method Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method [Volume 11, Issue 3, 2023, Pages 643-663]
  • Sinc Collocation method EFFICIENT NUMERICAL SOLUTION OF SINGULARLY PERTURBED TWO-POINT BOUNDARY VALUE PROBLEMS ByYDOUBLE EXPONENTIAL NON-CLASSICAL SINC-COLLOCATION METHOD [(Articles in Press)]
  • Sinc Function Solution of Troesch's problem through double exponential Sinc-Galerkin method [Volume 5, Issue 2, 2017, Pages 141-157]
  • Sinc functions Sinc operational matrix method for solving the Bagley-Torvik equation [Volume 5, Issue 1, 2017, Pages 56-66]
  • Sinc functions The use of the Sinc-collocation method for solving steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [Volume 12, Issue 4, 2024, Pages 857-865]
  • Sinc-Galerkin method Two-dimensional temporal fractional advection-diffusion problem resolved through the Sinc-Galerkin method [(Articles in Press)]
  • Sinc operational matrices A pseudospectral Sinc method for numerical investigation of the nonlinear time-fractional Klein-Gordon and sine-Gordon equations [Volume 11, Issue 2, 2023, Pages 357-368]
  • Sine cardinal functions Simulations of transport in one dimension [Volume 5, Issue 3, 2017, Pages 189-200]
  • Sine-Gordon equation Numerical solution of nonlinear Sine-Gordon equation using modified cubic B-spline-based differential quadrature method [Volume 11, Issue 2, 2023, Pages 369-386]
  • Sine-Gordon expansion method Complex Wave Surfaces to the Extended Shallow Water Wave Model with (2+1)-dimensional [Volume 8, Issue 3, 2020, Pages 585-596]
  • Singular boundary value problem A novel technique for a class of singular boundary value problems [Volume 6, Issue 1, 2018, Pages 40-52]
  • Singular initial and boundary value problems Hermite wavelets method for the numerical solution of linear and nonlinear singular initial and boundary value problems [Volume 7, Issue 2, 2019, Pages 177-198]
  • Singular initial value problems Modified Lucas polynomials for the numerical treatment of second-order boundary value problems [Volume 11, Issue 1, 2023, Pages 12-31]
  • Singular integral equations Solving singular integral equations by using orthogonal polynomials [Volume 6, Issue 4, 2018, Pages 411-425]
  • Singular integrals Asymptotic decomposition method for fractional order Riccati differential equation [Volume 9, Issue 1, 2021, Pages 63-78]
  • Singular integro-differential equation The Legendre Wavelet Method for Solving Singular Integro-differential Equations [Volume 2, Issue 2, 2014, Pages 62-68]
  • Singularly perturbed boundary-value problems Application of spline to approximate the solution of singularly perturbed boundary-value problems [Volume 8, Issue 2, 2020, Pages 373-388]
  • Singularly perturbed BVPs Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems [Volume 10, Issue 4, 2022, Pages 942-953]
  • Singularly perturbed parabolic convection-diffusion problem Parameter-uniform robust scheme for singularly perturbed parabolic convection-diffusion problems with large time-lag [Volume 10, Issue 4, 2022, Pages 954-968]
  • Singularly perturbed parabolic problems Accelerated fitted operator finite difference method for singularly perturbed parabolic reaction-diffusion problems [Volume 9, Issue 3, 2021, Pages 886-898]
  • Singularly perturbed problem A Robust computational method for singularly perturbed delay parabolic convection-diffusion equations arising in the modeling of neuronal variability [Volume 10, Issue 2, 2022, Pages 475-488]
  • Singularly perturbed problem Uniformly convergent fitted operator method for singularly perturbed delay differential equations [Volume 10, Issue 2, 2022, Pages 502-518]
  • Singularly perturbed problems Fitted mesh numerical scheme for singularly perturbed delay reaction diffusion problem with integral boundary condition [Volume 11, Issue 3, 2023, Pages 478-494]
  • Singular nonlinear boundary value problems Multiple solutions for a fourth-order elliptic equation involving singularity [Volume 9, Issue 3, 2021, Pages 818-829]
  • Singular perturbation Accurate splitting approach to characterize the solution set of boundary layer problems [Volume 7, Issue 2, 2019, Pages 206-223]
  • Singular perturbation A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition [Volume 8, Issue 2, 2020, Pages 236-250]
  • Singular perturbation A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems involving mixed space shifts [Volume 11, Issue 1, 2023, Pages 42-51]
  • Singular perturbation A second order numerical scheme for solving mixed type boundary value problems involving singular perturbation [Volume 11, Issue 4, 2023, Pages 822-833]
  • Singular Perturbation Problems FITTED MESH CUBIC SPLINE TENSION METHOD FOR SINGULARLY PERTURBED DELAY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITION [(Articles in Press)]
  • Singular point Investigation of convergence analysis of stochastic Heston model with one singular point [(Articles in Press)]
  • Singular potential Generalized Solutions for Conformable Schrödinger Equations with Singular Potentials [(Articles in Press)]
  • Sivashinsky equation Stability and numerical approximation for a spacial class of semilinear parabolic equations on the Lipschitz bounded regions: Sivashinsky equation [Volume 7, Issue 4 (Special Issue), 2019, Pages 589-600]
  • SMCH equation A novel scheme for SMCH equation with two different approaches [Volume 11, Issue 2, 2023, Pages 263-280]
  • Smoking Model A Mathematical Analysis of Non-linear Smoking Model via Fractional Operators [(Articles in Press)]
  • Smoothed particle hydrodynamic method The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrodinger equation and Schrodinger-Boussinesq system [Volume 6, Issue 2, 2018, Pages 215-237]
  • Smoothing transformation Jacobi collocation method for numerical solution of nonlinear weakly singular Volterra integro-differential equations: fractional and stochastic cases [(Articles in Press)]
  • SOE approximation Jacobi collocation method for numerical solution of nonlinear weakly singular Volterra integro-differential equations: fractional and stochastic cases [(Articles in Press)]
  • Solitary wave solution New study to construct new solitary wave solutions for generalized sinh- Gordon equation [Volume 2, Issue 2, 2014, Pages 77-82]
  • Solitary wave solutions The modified simplest equation method and its application [Volume 1, Issue 1, 2013, Pages 71-77]
  • Solitary wave solutions Solitary Wave solutions to the (3+1)-dimensional Jimbo Miwa equation [Volume 2, Issue 2, 2014, Pages 115-122]
  • Solitary wave solutions On the new extensions to the Benjamin-Ono equation [Volume 8, Issue 3, 2020, Pages 424-445]
  • Soliton New exact solutions and numerical approximations of the generalized KdV equation [Volume 9, Issue 3, 2021, Pages 670-691]
  • Soliton-like solution The extended homogeneous balance method and exact solutions of the Maccari system [Volume 2, Issue 2, 2014, Pages 83-90]
  • Solitons and periodic structures Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Soliton solution Obtaining soliton solutions of equations combined with the Burgers and equal width wave equations using a novel method [Volume 10, Issue 3, 2022, Pages 826-836]
  • Soliton solution Investigation of Optical Solitons in a Weakly Nonlocal Schrodinger Equation with Parabolic Nonlinearity [(Articles in Press)]
  • Soliton solutions Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension [Volume 3, Issue 2, 2015, Pages 134-146]
  • Soliton solutions On the travelling wave solutions of Ostrovsky equation [Volume 8, Issue 2, 2020, Pages 401-407]
  • Soliton solutions An effective technique for the conformable space-time fractional cubic-quartic nonlinear Schrodinger equation with different laws of nonlinearity [Volume 10, Issue 3, 2022, Pages 701-715]
  • Soliton solutions On the stability analysis and the solitonic wave structures for the Fordy-Gibbons-Jimbo-Miwa equation [(Articles in Press)]
  • Soliton wave solution Some new soliton solutions for the nonlinear the fifth-order integrable equations [Volume 10, Issue 2, 2022, Pages 445-460]
  • Soliton wave solutions COMPUTATIONAL APPLICATIONS BY ITEM AND VARIATIONAL METHOD FOR SOLVING THE HAMILTONIAN AMPLITUDE EQUATION [(Articles in Press)]
  • Solution map Stability in distribution of neutral stochastic functional differential equations with infinite delay [Volume 9, Issue 2, 2021, Pages 604-622]
  • Solvable and unsolvable fractional differential equations Toward a new understanding of cohomological method for fractional partial differential equations [Volume 9, Issue 4, 2021, Pages 959-976]
  • Solving the Bagley ON THE NUMERICAL SOLUTION OF BAGLEY-TORVIK EQUATION USING THE M ¨UNTZ-LEGENDRE WAVELET COLLOCATION METHOD [(Articles in Press)]
  • Space marching Regularization of a nonlinear inverse problem by discrete mollification‎ ‎method [Volume 9, Issue 1, 2021, Pages 313-326]
  • Space-time fractional differential equations Solving nonlinear space-time fractional differential equations via ansatz method [Volume 6, Issue 1, 2018, Pages 1-11]
  • Space-time-fractional heat equation Toward a new understanding of cohomological method for fractional partial differential equations [Volume 9, Issue 4, 2021, Pages 959-976]
  • Space time fractional Klein-Gordon equation Exact solutions of the space time-fractional Klein-Gordon equation with cubic nonlinearities using some methods [Volume 10, Issue 3, 2022, Pages 674-685]
  • Spatial spread Mathematical modelling of the epidemiology of Corona Virus Infection with constant spatial diffusion term in Ghana. [(Articles in Press)]
  • Spectral boundary condition The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions [Volume 10, Issue 2, 2022, Pages 519-525]
  • Spectral collocation method A Novel Hybrid Approach to Approximate fractional Sub-Diffusion Equation [(Articles in Press)]
  • Spectral collocation method NUMERICAL SOLVING OF MULTI- TERM TIME FRACTIONAL DIFFUSION-WAVE EQUATIONS USING SHIFTED GEGENBAUER SPECTRAL COLLOCATION METHOD [(Articles in Press)]
  • Spectral collocation method, Schrödinger equation Numerical Solution of Linear and Nonlinear Schrödinger Equation via Shifted Chebyshev Collocation Method [(Articles in Press)]
  • Spectral element method Using Legendre spectral element method with Quasi-linearization method for solving Bratu's problem [Volume 7, Issue 4 (Special Issue), 2019, Pages 580-588]
  • Spectral meshless radial point interpolation (SMRPI) method Analysis of meshless local radial point interpolant on a model in population dynamics [Volume 7, Issue 2, 2019, Pages 276-288]
  • Spectral meshless radial point interpolation (SMRPI) method Numerical investigation based on a local meshless radial point interpolation for solving coupled nonlinear reaction-diffusion system [Volume 9, Issue 2, 2021, Pages 358-374]
  • Spectral methods Modified Lucas polynomials for the numerical treatment of second-order boundary value problems [Volume 11, Issue 1, 2023, Pages 12-31]
  • Spectral radius Matrix Mittag-Leffler functions of fractional nabla calculus [Volume 6, Issue 2, 2018, Pages 128-140]
  • Spectral radius A new Monte Carlo method for solving systems of linear algebraic equations [Volume 9, Issue 1, 2021, Pages 159-179]
  • Spectral Ritz method A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components [Volume 9, Issue 2, 2021, Pages 446-466]
  • Spectrum Isospectral sixth order Sturm-Liouville eigenvalue problems [Volume 8, Issue 4, 2020, Pages 762-769]
  • Spectrum The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions [Volume 10, Issue 2, 2022, Pages 519-525]
  • Spherical Porous catalyst A NEW APPROXIMATE ANALYTICAL METHOD FOR SOLVING SOME NON-LINEAR BOUNDARY VALUE PROBLEMS IN REACTION-DIFFUSION MODEL [(Articles in Press)]
  • SPline On the numerical treatment and analysis of Hammerstein integral equation [Volume 9, Issue 2, 2021, Pages 493-510]
  • Split-step methods An explicit split-step truncated Milstein method for stochastic differential equations [Volume 11, Issue 4, 2023, Pages 676-695]
  • Split-step (theta Stability of two classes of improved backward Euler methods for stochastic delay differential equations of neutral type [Volume 5, Issue 3, 2017, Pages 201-213]
  • Square interpolation Approximate price of the option under discretization by applying fractional quadratic interpolation [Volume 10, Issue 4, 2022, Pages 1075-1085]
  • Squeeze parameter Application of variation of parameter’s method for hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates [Volume 10, Issue 3, 2022, Pages 580-594]
  • SSP-RK43 scheme Numerical approximation of coupled Schr𝐨̈dinger equations via NUAH B-spline DQM [(Articles in Press)]
  • SSP-RK54 Numerical solution of nonlinear Sine-Gordon equation using modified cubic B-spline-based differential quadrature method [Volume 11, Issue 2, 2023, Pages 369-386]
  • SSPRK scheme Numerical solution of the hyperbolic telegraph equation using cubic B-spline-based differential quadrature of high accuracy [Volume 10, Issue 4, 2022, Pages 837-859]
  • Stability An approximation to the solution of Benjamin-Bona-Mahony-Burgers equation [Volume 5, Issue 4, 2017, Pages 301-309]
  • Stability Stability and numerical approximation for a spacial class of semilinear parabolic equations on the Lipschitz bounded regions: Sivashinsky equation [Volume 7, Issue 4 (Special Issue), 2019, Pages 589-600]
  • Stability Regularization of a nonlinear inverse problem by discrete mollification‎ ‎method [Volume 9, Issue 1, 2021, Pages 313-326]
  • Stability The numerical solution of Fisher equation: A nonstandard finite difference in conjunction with Richtmyer formula [Volume 8, Issue 2, 2020, Pages 330-346]
  • Stability Analysis of time delay model for drug therapy on HIV dynamics [Volume 9, Issue 2, 2021, Pages 577-588]
  • Stability A new numerical fractional differentiation formula to approximate the Caputo-Fabrizio fractional derivative: error analysis and stability [Volume 10, Issue 1, 2022, Pages 12-27]
  • Stability Optimal control of satellite attitude and its stability based on quaternion parameters [Volume 10, Issue 1, 2022, Pages 168-178]
  • Stability Analysis of non-hyperbolic equilibria for Caputo fractional system [Volume 10, Issue 2, 2022, Pages 298-306]
  • Stability Improved new qualitative results on stochastic delay differential equations of second order [Volume 12, Issue 1, 2024, Pages 67-76]
  • Stability A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach [Volume 11, Issue 4, 2023, Pages 716-726]
  • Stability An accurate finite-difference scheme for the numerical solution of a fractional differential equation [(Articles in Press)]
  • Stability Numerical treatment and optimal control of Hepatitis B virus spatio-temporal model [(Articles in Press)]
  • Stability Stability analysis of SAIR mathematical model with general incidence rates and temporary immunity [(Articles in Press)]
  • Stability analysis Stabilization of linear systems of delay differential equations by the delayed feedback method [Volume 7, Issue 2, 2019, Pages 302-318]
  • Stability analysis Stability analysis of third derivative multi-step methods for stiff initial value problems [Volume 8, Issue 3, 2020, Pages 564-572]
  • Stability analysis A mathematical analysis of Zika virus transmission with optimal control strategies [Volume 9, Issue 1, 2021, Pages 117-145]
  • Stability analysis Stability and bifurcation of fractional tumor-immune model with time delay [Volume 9, Issue 3, 2021, Pages 692-709]
  • Stability analysis Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger’s equation [Volume 10, Issue 1, 2022, Pages 179-190]
  • Stability analysis An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation [Volume 9, Issue 4, 2021, Pages 1109-1127]
  • Stability analysis An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]
  • Stability analysis Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem [(Articles in Press)]
  • Stability analysis On the stability analysis and the solitonic wave structures for the Fordy-Gibbons-Jimbo-Miwa equation [(Articles in Press)]
  • Stability analysis Optical solitons and stability analysis for the improved Eckhaus equations [(Articles in Press)]
  • Stability estimate Adaptive-grid technique for the numerical solution of a class of fractional boundary-value-problems [Volume 12, Issue 2, 2024, Pages 338-349]
  • Stability in distribution Stability in distribution of neutral stochastic functional differential equations with infinite delay [Volume 9, Issue 2, 2021, Pages 604-622]
  • Stability of equilibrium Stability analysis of a fractional order prey-predator system with nonmonotonic functional response [Volume 4, Issue 2, 2016, Pages 151-161]
  • Stability of solution Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem [Volume 7, Issue 3, 2019, Pages 434-453]
  • Stabilization Stabilization of linear systems of delay differential equations by the delayed feedback method [Volume 7, Issue 2, 2019, Pages 302-318]
  • Stagnation point Rational Chebyshev Collocation approach in the solution of the axisymmetric stagnation flow on a circular cylinder [Volume 6, Issue 4, 2018, Pages 483-500]
  • Stationary conditions Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints [Volume 9, Issue 2, 2021, Pages 347-357]
  • Steady state bifurcation Steady state bifurcation in a cross diffusion prey-predator model [Volume 11, Issue 2, 2023, Pages 254-262]
  • Steady-state Reaction-Diffusion equation A NEW APPROXIMATE ANALYTICAL METHOD FOR SOLVING SOME NON-LINEAR BOUNDARY VALUE PROBLEMS IN REACTION-DIFFUSION MODEL [(Articles in Press)]
  • Stenosis Study of the non-Newtonian behaviour of Reiner Rivlin relative to power law in arterial stenosis [Volume 10, Issue 4, 2022, Pages 928-941]
  • Stiff initial-value problems Solving Stiff Systems by using Symbolic - Numerical Method [Volume 8, Issue 2, 2020, Pages 282-293]
  • Stiff ODEs Stability analysis of third derivative multi-step methods for stiff initial value problems [Volume 8, Issue 3, 2020, Pages 564-572]
  • Stochastic Jacobi collocation method for numerical solution of nonlinear weakly singular Volterra integro-differential equations: fractional and stochastic cases [(Articles in Press)]
  • Stochastic analysis A simulation study of the COVID-19 pandemic based on the Ornstein-Uhlenbeck processes [Volume 10, Issue 3, 2022, Pages 738-745]
  • Stochastic Arithmetic The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations [Volume 8, Issue 4, 2020, Pages 685-707]
  • Stochastic delay differential equations Preserving asymptotic mean-square stability of stochastic theta scheme for systems of stochastic delay differential equations [Volume 8, Issue 3, 2020, Pages 468-479]
  • Stochastic delay differential equations Almost sure exponential numerical stability of balanced Maruyama with two step approximations of stochastic time delay Hopfield neural networks [Volume 12, Issue 1, 2024, Pages 136-148]
  • Stochastic differential equation A wavelet method for stochastic Volterra integral equations and its application to general stock model [Volume 5, Issue 2, 2017, Pages 170-188]
  • Stochastic differential equation Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • Stochastic differential equations Meshless approach for pricing Islamic Ijarah under stochastic interest rate models [Volume 9, Issue 4, 2021, Pages 1028-1041]
  • Stochastic differential equations The convergence of exponential Euler method for weighted fractional stochastic equations [Volume 10, Issue 2, 2022, Pages 538-548]
  • Stochastic differential equations Mean-square stability of a constructed Third-order stochastic Runge–Kutta schemes for general stochastic differential equations [Volume 10, Issue 3, 2022, Pages 617-638]
  • Stochastic differential equations An explicit split-step truncated Milstein method for stochastic differential equations [Volume 11, Issue 4, 2023, Pages 676-695]
  • Stochastic Heston model Investigation of convergence analysis of stochastic Heston model with one singular point [(Articles in Press)]
  • Stochastic integral equation A wavelet method for stochastic Volterra integral equations and its application to general stock model [Volume 5, Issue 2, 2017, Pages 170-188]
  • Stochastic integrals Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Stochastic interest rate Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • Stochastic Linear Combination Solving some stochastic differential equation using Dirichlet distributions [Volume 9, Issue 2, 2021, Pages 393-398]
  • Stochastic linear theta scheme Preserving asymptotic mean-square stability of stochastic theta scheme for systems of stochastic delay differential equations [Volume 8, Issue 3, 2020, Pages 468-479]
  • Stochastic nonlinear systems Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays [Volume 12, Issue 2, 2024, Pages 196-206]
  • Stochastic operational matrix Solving Ito integral equations with time delay via basis functions [Volume 8, Issue 2, 2020, Pages 268-281]
  • Stochastic partial differential equations‎ Analysis of the stability and convergence of a finite difference approximation for stochastic partial differential equations [Volume 7, Issue 3, 2019, Pages 334-358]
  • Stochastic process A numerical technique for solving nonlinear fractional stochastic integro-differential equations with n-dimensional Wiener process [Volume 10, Issue 1, 2022, Pages 61-76]
  • Stochastic Runge-Kutta schemes Mean-square stability of a constructed Third-order stochastic Runge–Kutta schemes for general stochastic differential equations [Volume 10, Issue 3, 2022, Pages 617-638]
  • Stochastic stability Dynamics of an SEIR epidemic model with saturated incidence rate including stochastic influence [Volume 12, Issue 2, 2024, Pages 350-360]
  • Stochastic volatility Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • Stochastic Volterra-Fredholm integral equations Solving Ito integral equations with time delay via basis functions [Volume 8, Issue 2, 2020, Pages 268-281]
  • Stretching sheet Analyzing MHD boundary layer flow of Rivlin Ericksen fluid over a stretching sheet by applying Taylor Wavelet Approach [(Articles in Press)]
  • Strictly hyperbolicity Hyperbolic Ricci-Bourguignon flow [Volume 9, Issue 2, 2021, Pages 399-409]
  • Strong convergence rate An explicit split-step truncated Milstein method for stochastic differential equations [Volume 11, Issue 4, 2023, Pages 676-695]
  • Strongly nonlinear A one-step algorithm for strongly non-linear full fractional duffing equations [Volume 12, Issue 1, 2024, Pages 117-135]
  • Sturm-Liouville Asymptotic distributions of Neumann problem for Sturm-Liouville equation [Volume 2, Issue 1, 2014, Pages 19-25]
  • Sturm-Liouville Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem [Volume 6, Issue 4, 2018, Pages 501-507]
  • Sturm-Liouville Direct and inverse problems of ROD equation using finite element method and a correction technique [Volume 12, Issue 4, 2024, Pages 651-668]
  • Sturm-Liouville operator Computing high-index eigenvalues for the Sturm-Liouville equation with Robin boundary conditions [(Articles in Press)]
  • Sturm-Liouville operator with the impulse The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions [Volume 10, Issue 2, 2022, Pages 519-525]
  • Sturm-Liouville problem On approximating eigenvalues and eigenfunctions of fractional order Sturm-Liouville problems [Volume 11, Issue 4, 2023, Pages 811-821]
  • Sturm-Liouville problem An efficient algorithm for computing the eigenvalues of conformable Sturm-Liouville problem [Volume 12, Issue 3, 2024, Pages 471-483]
  • Sturm- Liouville problems The (4lpha- ho) order Sturm-Liouville problem with generalized fractional derivative [(Articles in Press)]
  • Successive approximation method Existence and Uniqueness Theorems for Fractional Differential Equations with Proportional Delay [(Articles in Press)]
  • Successive approximations‎‎ A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type [Volume 8, Issue 1, 2020, Pages 173-193]
  • Sucssesive methods Eigenvalues of fractional Sturm-Liouville problems by successive method [Volume 9, Issue 4, 2021, Pages 1163-1175]
  • Sukuk Meshless approach for pricing Islamic Ijarah under stochastic interest rate models [Volume 9, Issue 4, 2021, Pages 1028-1041]
  • Sumudu transform Regularized Prabhakar derivative for partial differential equations [Volume 10, Issue 3, 2022, Pages 726-737]
  • Sumudu transform Solution of time-fractional equations via Sumudu-Adomian decomposition method [Volume 11, Issue 2, 2023, Pages 345-356]
  • Sumudu transforms European option pricing of fractional Black-Scholes model with new Lagrange multipliers [Volume 2, Issue 1, 2014, Pages 1-10]
  • Sumudu variational iteration method An accurate method for nonlinear local fractional Wave-Like equations with variable coefficients [Volume 9, Issue 3, 2021, Pages 774-787]
  • Super-future point technique Stability analysis of third derivative multi-step methods for stiff initial value problems [Volume 8, Issue 3, 2020, Pages 564-572]
  • Superinfection Backward bifurcation in a two strain model of heroin addiction [Volume 10, Issue 3, 2022, Pages 656-673]
  • Support vector machines Solving optimal control problems by PSO-SVM [Volume 6, Issue 3, 2018, Pages 312-325]
  • Switching controls An efficient numerical solution for time switching optimal control problems [Volume 9, Issue 1, 2021, Pages 225-243]
  • Sylvester equation Haar wavelet iteration method for solving time fractional Fisher's equation [Volume 8, Issue 3, 2020, Pages 505-522]
  • Sylvester equation A Chebyshev Wavelet Approach to the Generalized Time-Fractional Burgers-Fisher Equation [(Articles in Press)]
  • Sylvester system Stable Gaussian radial basis function method for solving Helmholtz equations [Volume 7, Issue 1, 2019, Pages 138-151]
  • Sylvester type matrix equation On the solving of matrix equation of Sylvester type [Volume 7, Issue 1, 2019, Pages 96-104]
  • Symbolic computation A novel scheme for SMCH equation with two different approaches [Volume 11, Issue 2, 2023, Pages 263-280]
  • Symmetries Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times [Volume 13, Issue 1, 2025, Pages 249-257]
  • Symmetry analysis Lie symmetry analysis for Kawahara-KdV equations [Volume 1, Issue 2, 2013, Pages 135-145]
  • System of differential equations Combining the reproducing kernel method with a practical technique to solve the system of nonlinear singularly perturbed boundary value problems [Volume 10, Issue 4, 2022, Pages 942-953]
  • System of integral equation Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions [(Articles in Press)]
  • System of integro-differential equations A new numerical scheme for solving systems of integro-differential equations [Volume 1, Issue 2, 2013, Pages 108-119]
  • System of linear algebraic equations A new Monte Carlo method for solving systems of linear algebraic equations [Volume 9, Issue 1, 2021, Pages 159-179]
  • Systems of linear differential equations A Laguerre approach for solving of the systems of linear differential equations and residual improvement [Volume 9, Issue 2, 2021, Pages 553-576]
  • Syzygy Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation [Volume 11, Issue 2, 2023, Pages 399-411]

T

  • Taylor expansion Numerical methods for m-polar fuzzy initial value problems [Volume 11, Issue 3, 2023, Pages 412-439]
  • Taylor series A numerical approach for solving the Fractal ordinary differential equations [Volume 12, Issue 4, 2024, Pages 780-790]
  • Taylor wavelet Analyzing MHD boundary layer flow of Rivlin Ericksen fluid over a stretching sheet by applying Taylor Wavelet Approach [(Articles in Press)]
  • Technologtcal intelligence The use of technological intelligence model in solving terrorism dynamics: a case study of Nigeria [Volume 13, Issue 1, 2025, Pages 201-213]
  • Tension spline Application of spline to approximate the solution of singularly perturbed boundary-value problems [Volume 8, Issue 2, 2020, Pages 373-388]
  • Terrorism and Dynamics The use of technological intelligence model in solving terrorism dynamics: a case study of Nigeria [Volume 13, Issue 1, 2025, Pages 201-213]
  • The (1/G0)-expansion method On exact solutions of the generalized Pochhammer-Chree equation [Volume 10, Issue 3, 2022, Pages 746-754]
  • The Complex SEE transform The complex SEE transform technique in difference equations and differential difference equations [Volume 12, Issue 3, 2024, Pages 624-637]
  • The cross product of fuzzy numbers First order linear fuzzy differential equations with fuzzy variable coefficients [Volume 9, Issue 1, 2021, Pages 1-21]
  • The exp-function approach Optical Solitons and Rogue wave solutions of NLSE with variables coefficients and modulation instability analysis [Volume 10, Issue 4, 2022, Pages 905-913]
  • The $exp(-phi(xi))$-expansion method Symbolic methods to construct a cusp, breathers, kink, rogue waves and some soliton waves solutions of nonlinear partial differential equations [Volume 8, Issue 3, 2020, Pages 597-609]
  • The extended modified auxiliary equation mapping method Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques [Volume 12, Issue 2, 2024, Pages 207-225]
  • The fractional Bagley Torvik equation Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]
  • The (G0/G)-expansion method New optical soliton solutions for the thin-film ferroelectric materials equation instead of the numerical solution [Volume 10, Issue 1, 2022, Pages 158-167]
  • The generalized exponential rational function method Prolific new M-fractional soliton behaviors to the Schrödinger type Ivancevic option pricing model by two efficient techniques [Volume 12, Issue 2, 2024, Pages 207-225]
  • The generalized forms $B(n The modified simplest equation method and its application [Volume 1, Issue 1, 2013, Pages 71-77]
  • The generalized Pochhammer-Chree equation On exact solutions of the generalized Pochhammer-Chree equation [Volume 10, Issue 3, 2022, Pages 746-754]
  • The GFKPP equation Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • The Hirota bilinear method Multi-Soliton Solutions to the Generalized Boussinesq Equation of Tenth Order [Volume 11, Issue 4, 2023, Pages 727-737]
  • The improved Eckhaus model Optical solitons and stability analysis for the improved Eckhaus equations [(Articles in Press)]
  • The improved modified extended tanh function method Investigating of highly dispersive solitons for concatenation model with power law nonlinearity using improved modified extended tanh-function method [(Articles in Press)]
  • The Laplace transform The (4lpha- ho) order Sturm-Liouville problem with generalized fractional derivative [(Articles in Press)]
  • The MEW equation A new application for numerical computations of the modified equal width equation (MEW) based on Lumped Galerkin method with the cubic B-spline [Volume 11, Issue 1, 2023, Pages 95-107]
  • The modified simplest equation method The modified simplest equation method and its application [Volume 1, Issue 1, 2013, Pages 71-77]
  • The modified simplest equation method The complex hyperbolic Schrodinger dynamical equation with a truncated M-fractional by using simplest equation method [Volume 12, Issue 1, 2024, Pages 44-55]
  • Theorem of convergence Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • Theoretical results Numerical Analysis of SEIR epidemic model with fractional order [(Articles in Press)]
  • Thermal Analysis Studying the thermal analysis of rectangular cross section porous fin: A numerical approach [Volume 10, Issue 2, 2022, Pages 338-350]
  • Thermal diffusivity Finite-difference method for Hygrothermoelastic boundary value problem [Volume 13, Issue 1, 2025, Pages 157-168]
  • The spectral collocation method based on radial basis functions Numerical solution of stochastic models using spectral collocation method [Volume 11, Issue 3, 2023, Pages 630-642]
  • The $tanh$ method Multi-Soliton Solutions to the Generalized Boussinesq Equation of Tenth Order [Volume 11, Issue 4, 2023, Pages 727-737]
  • The Thin-film Ferroelectric Materials equation New optical soliton solutions for the thin-film ferroelectric materials equation instead of the numerical solution [Volume 10, Issue 1, 2022, Pages 158-167]
  • The variational iteration method New optical soliton solutions for the thin-film ferroelectric materials equation instead of the numerical solution [Volume 10, Issue 1, 2022, Pages 158-167]
  • The wavelet transform Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • Thin plate splines Approximate solution of the fuzzy fractional Bagley-Torvik equation by the RBF collocation method [Volume 6, Issue 2, 2018, Pages 186-214]
  • Third-order Numerical solution of third-Order boundary value problems using non-classical sinc-collocation method [Volume 11, Issue 3, 2023, Pages 643-663]
  • Three critical points Multiplicity of solutions for a p-Laplacian equation with nonlinear boundary conditions [Volume 7, Issue 3, 2019, Pages 475-479]
  • Three critical points theorem Existence of bound states for non-local fourth-order Kirchhoff systems [Volume 7, Issue 3, 2019, Pages 418-433]
  • Three point boundary conditions Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems [Volume 2, Issue 4, 2014, Pages 205-215]
  • Three-point boundary value problem A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Tikhonov regularization Application of the method of fundamental solutions for designing the optimal shape in heat transfer [Volume 9, Issue 1, 2021, Pages 273-288]
  • Tikhonov regularization method Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem [Volume 7, Issue 3, 2019, Pages 434-453]
  • Time–delay Dynamics and bifurcation control of a fractional-order delayed predator–prey model with an omnivore [(Articles in Press)]
  • Time delay parabolic problem A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems involving mixed space shifts [Volume 11, Issue 1, 2023, Pages 42-51]
  • Time delay system LQR Technique Based SMC Design for a Class of Uncertain Time-delay Conic Nonlinear Systems [(Articles in Press)]
  • Time-dependent Two-Dimensional Nonlinear Schrödinger Equation Using an Alternating Direction Implicit Method [(Articles in Press)]
  • Time-dependent parameters A compact difference scheme for time-fractional Black-Scholes equation with time-dependent parameters under the CEV model: American options [Volume 9, Issue 2, 2021, Pages 523-552]
  • Time fractional Application of high-order spectral method for the time fractional mobile/immobile equation [Volume 4, Issue 4, 2016, Pages 309-322]
  • Time fractional advection-diffusion equation Two-dimensional temporal fractional advection-diffusion problem resolved through the Sinc-Galerkin method [(Articles in Press)]
  • Time-fractional advection-diffusion equations A pseudo-spectral based method for time-fractional advection-diffusion equation [Volume 8, Issue 3, 2020, Pages 454-467]
  • Time–fractional Black–Scholes equation Lie symmetry analysis, and exact solutions to the time–fractional Black–Scholes equation of the Caputo–type [Volume 12, Issue 4, 2024, Pages 638-650]
  • Time fractional Black-Scholes model Approximate price of the option under discretization by applying fractional quadratic interpolation [Volume 10, Issue 4, 2022, Pages 1075-1085]
  • Time-fractional convection-diffusion equation Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients [Volume 7, Issue 1, 2019, Pages 1-15]
  • Time fractional derivative An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [Volume 12, Issue 4, 2024, Pages 719-740]
  • Time fractional diffusion wave equation NUMERICAL SOLVING OF MULTI- TERM TIME FRACTIONAL DIFFUSION-WAVE EQUATIONS USING SHIFTED GEGENBAUER SPECTRAL COLLOCATION METHOD [(Articles in Press)]
  • Time-fractional Fornberg-Whitham equation Group-invariant solutions for time-fractional Fornberg-Whitham equation by Lie symmetry analysis [Volume 8, Issue 2, 2020, Pages 251-258]
  • Time-fractional KdV equation Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter [Volume 8, Issue 1, 2020, Pages 111-118]
  • Time fractional parabolic partial differential equations Numerical solution for solving fractional parabolic partial differential equations [Volume 10, Issue 1, 2022, Pages 121-143]
  • Time-Fractional Telegraph Equation A numerical approximation for the solution of a time-fractional telegraph equation by the moving least squares approach [Volume 11, Issue 4, 2023, Pages 716-726]
  • Time scale Second order boundary value problems of nonsingular type on time scales [Volume 9, Issue 4, 2021, Pages 1214-1222]
  • Time scale calculus Some delta q−fractional linear dynamic equations and a generalized delta q−Mittag-Leffler function [Volume 12, Issue 3, 2024, Pages 502-510]
  • Time Series SOLVING THE OPTIMIZING PARAMETERS PROBLEM FOR NON-LINEAR DATASETS USING THE HIGH-ORDER GENERAL LEAST DEVIATIONS METHOD (GLDM) ALGORITHM [(Articles in Press)]
  • Time-varying delays Stability for neutral-type integro-differential neural networks with random switches in noise and delay [Volume 11, Issue 1, 2023, Pages 65-80]
  • Time-varying delays Boundary controller design for stabilization of stochastic nonlinear reaction-diffusion systems with time-varying delays [Volume 12, Issue 2, 2024, Pages 196-206]
  • Total Variation A denoising PDE model based on isotropic diffusion and total variation models [Volume 8, Issue 4, 2020, Pages 815-826]
  • Total variation diminishing A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws [Volume 2, Issue 2, 2014, Pages 91-98]
  • Total variation diminishing A total variation diminishing high resolution scheme for nonlinear conservation laws [Volume 6, Issue 4, 2018, Pages 456-470]
  • Total-variation-diminishing 2-stage explicit total variation diminishing preserving Runge-Kutta methods [Volume 1, Issue 1, 2013, Pages 30-38]
  • Transaction cost Exact solutions and numerical simulation for Bakstein-Howison model [Volume 10, Issue 2, 2022, Pages 461-474]
  • Transaction costs Properties of utility function for Barles and Soner model [Volume 7, Issue 1, 2019, Pages 117-123]
  • Transformation matrix A highly accurate wavelet approach for multi-term variable-order fractional multi-dimensional differential equations [(Articles in Press)]
  • Transformation operator Inverse Sturm-Liouville problems with transmission and spectral parameter boundary conditions [Volume 2, Issue 3, 2014, Pages 123-139]
  • Transition probability matrix A new Monte Carlo method for solving systems of linear algebraic equations [Volume 9, Issue 1, 2021, Pages 159-179]
  • Transport of flow and heat transfer Application of variation of parameter’s method for hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates [Volume 10, Issue 3, 2022, Pages 580-594]
  • Transverse and longitudinal vibration Mechanics of nanofluidic flow induced nonlinear vibrations of single and multi-walled branched nanotubes in a thermal-magnetic environment [(Articles in Press)]
  • Trapezoid A numerical approach for solving Caputo-Prabhakar distributed-order time-fractional partial differential equation [Volume 12, Issue 3, 2024, Pages 571-584]
  • Trapezoidal Finite element solution of a class of parabolic integro-differential equations with inhomogeneous jump conditions using FreeFEM++ [Volume 12, Issue 2, 2024, Pages 314-328]
  • Trapezoidal quadrature rule A Study on ‎‎Functional Fractional Integro-Differential Equations ‎of Hammerstein type [Volume 8, Issue 1, 2020, Pages 173-193]
  • Trapezoidal rule On the numerical approximation of Volterra integro-differential equation using Laplace transform [Volume 8, Issue 2, 2020, Pages 305-313]
  • Traveling wave solution Novel traveling wave solutions of generalized seventh-order KdV equation and related equation [Volume 12, Issue 2, 2024, Pages 392-412]
  • Traveling wave solution Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Traveling wave solution On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method [Volume 13, Issue 1, 2025, Pages 258-270]
  • Travelling wave New optical soliton solutions for the thin-film ferroelectric materials equation instead of the numerical solution [Volume 10, Issue 1, 2022, Pages 158-167]
  • Travelling wave APPLICATION OF THE ANALYTICAL METHOD FOR SOLVING THE CHEMICAL KINETICS SYSTEM [(Articles in Press)]
  • Travelling Wave Solutions Application of new Kudryashov method to Sawada-Kotera and Kaup-Kupershmidt equations [(Articles in Press)]
  • Troesch's problem Numerical solution of Troesch's problem using Christov rational functions [Volume 3, Issue 4, 2015, Pages 247-257]
  • Troesch’s problem A Chebyshev pseudo-spectral based approach for solving Troesch’s problem with convergence analysis [Volume 12, Issue 4, 2024, Pages 827-841]
  • Truncated M-fractional derivative The complex hyperbolic Schrodinger dynamical equation with a truncated M-fractional by using simplest equation method [Volume 12, Issue 1, 2024, Pages 44-55]
  • Truncated Milstein method An explicit split-step truncated Milstein method for stochastic differential equations [Volume 11, Issue 4, 2023, Pages 676-695]
  • Truncation error Numerical treatment and optimal control of Hepatitis B virus spatio-temporal model [(Articles in Press)]
  • Tumor Growth A numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growth [Volume 9, Issue 2, 2021, Pages 327-346]
  • Tumor-immune interaction Convergence analysis for piecewise Lagrange interpolation method of fractal fractional model of tumor-immune interaction with two different kernels [Volume 13, Issue 1, 2025, Pages 169-182]
  • Turing instability Hopf bifurcation and Turing instability in a cross-diffusion prey-predator system with group defense behavior [Volume 13, Issue 1, 2025, Pages 294-306]
  • Turing systems Numerical investigation based on a local meshless radial point interpolation for solving coupled nonlinear reaction-diffusion system [Volume 9, Issue 2, 2021, Pages 358-374]
  • Turning Functions A NEW ALGORITHM FOR INDOOR ROBOT LOCALIZATION USING TURNING FUNCTION [(Articles in Press)]
  • Turning point Homotopy perturbation method for eigenvalues of non-definite Sturm-Liouville problem [Volume 6, Issue 4, 2018, Pages 501-507]
  • Turning point The numerical values of the nodal points for the Sturm-Liouville equation with one turning point [Volume 7, Issue 1, 2019, Pages 124-137]
  • Two-dimensional Two-Dimensional Nonlinear Schrödinger Equation Using an Alternating Direction Implicit Method [(Articles in Press)]
  • Two-dimensional Block-Pulse function Numerical solutions and error analysis of system of two-dimensional Volterra integral equations via Block-Pulse functions [(Articles in Press)]
  • Two-dimensional nonlinear Volterra integral equations‎ Numerical solution of two-dimensional integral equations of the first kind by multi-step methods [Volume 4, Issue 2, 2016, Pages 128-138]
  • Two link robot Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • Two-phase membrane A combining method for the approximate solution of spatial segregation limit of reaction-diffusion systems [Volume 9, Issue 2, 2021, Pages 410-426]
  • Two stage iterative method Numerical analysis of fractional differential equation by TSI-wavelet method [Volume 9, Issue 3, 2021, Pages 659-669]
  • Tzitzica type evolution equations New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics [Volume 8, Issue 1, 2020, Pages 28-53]

U

  • Ulam-Hyers stability Existence, uniqueness, and stability analysis of coupled random fractional boundary value problems with nonlocal conditions [Volume 12, Issue 1, 2024, Pages 100-116]
  • Ultraspherical functions The solving integro-differential equations of fractional order with the ultraspherical functions [Volume 8, Issue 1, 2020, Pages 205-211]
  • Ultraspherical polynomials New Solutions for Singular Lane-Emden Equations Arising in Astrophysics Based on Shifted Ultraspherical Operational Matrices of Derivatives [Volume 2, Issue 3, 2014, Pages 171-185]
  • Uncertain differential equations Existence and uniqueness of solutions of uncertain linear systems [Volume 9, Issue 1, 2021, Pages 289-299]
  • Unconditional stability On the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative [Volume 4, Issue 1, 2016, Pages 54-69]
  • Unconstrained optimization An efficient improvement of the Newton method for solving nonconvex optimization problems [Volume 7, Issue 1, 2019, Pages 69-85]
  • Unconstrained optimization The modified BFGS method with new secant relation ‎for unconstrained optimization problems‎ [Volume 7, Issue 1, 2019, Pages 28-41]
  • U-Net A U-Net Framework Using Differential Equations for Enhanced Computer Vision in Lung Disease Diagnosis [(Articles in Press)]
  • Unified chaotic systems A numerical approach for variable-order fractional unified chaotic systems with time-delay [Volume 6, Issue 4, 2018, Pages 396-410]
  • Uniformly convergence A New Error Evaluation for Singularly Perturbed Problem with Multi-Point Boundary Condition [Volume 8, Issue 2, 2020, Pages 236-250]
  • Universal approximation properties Application of fuzzy systems on the numerical solution of the elliptic PDE-constrained optimal control problems [Volume 10, Issue 2, 2022, Pages 351-371]
  • UNO limiter A third-order weighted essentially non-oscillatory-flux limiter scheme for two-dimensional incompressible Navier-Stokes equations [Volume 11, Issue 1, 2023, Pages 1-11]
  • Unstable nonlinear fractional-order Schrödinger equation Dynamics of combined soliton solutions of unstable nonlinear fractional-order Schrödinger equation by beta-fractional derivative [Volume 10, Issue 2, 2022, Pages 549-566]
  • Utility function Properties of utility function for Barles and Soner model [Volume 7, Issue 1, 2019, Pages 117-123]

V

  • Vakhnenko-Parkes equation Exploring High-Frequency Waves and Soliton Solutions of Fluid Turbulence through Relaxation Medium Modeled By Vakhnenko-Parkes Equation [(Articles in Press)]
  • Vanishing constraints Necessary and sufficient conditions for M-stationarity of nonsmooth optimization problems with vanishing constraints [Volume 9, Issue 2, 2021, Pages 347-357]
  • Variable exponent Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [(Articles in Press)]
  • Variable exponent Sobolev spaces Existence of bound states for non-local fourth-order Kirchhoff systems [Volume 7, Issue 3, 2019, Pages 418-433]
  • Variable-order fractional calculus A numerical approach for variable-order fractional unified chaotic systems with time-delay [Volume 6, Issue 4, 2018, Pages 396-410]
  • Variable-order fractional derivative A highly accurate wavelet approach for multi-term variable-order fractional multi-dimensional differential equations [(Articles in Press)]
  • Variable-order fractional functional differential equations Legendre-collocation spectral solver for variable-order fractional functional differential equations [Volume 8, Issue 1, 2020, Pages 99-110]
  • Variable stepsize Nordsieck representation of high order predictor-corrector Obreshkov methods and their implementation [Volume 7, Issue 1, 2019, Pages 16-27]
  • Variable stepsize implementation A hybrid method with optimal stability properties for the numerical solution of stiff differential systems [Volume 4, Issue 3, 2016, Pages 217-229]
  • Variational method Existence of bound states for non-local fourth-order Kirchhoff systems [Volume 7, Issue 3, 2019, Pages 418-433]
  • Variational methods Multiple solutions for a fourth-order elliptic equation involving singularity [Volume 9, Issue 3, 2021, Pages 818-829]
  • Variational principles COMPUTATIONAL APPLICATIONS BY ITEM AND VARIATIONAL METHOD FOR SOLVING THE HAMILTONIAN AMPLITUDE EQUATION [(Articles in Press)]
  • Variational problems An analytic study on the Euler-Lagrange equation arising in calculus of variations [Volume 2, Issue 3, 2014, Pages 140-152]
  • Variational technique Some existence and nonexistence results for a class of Kirchhoff-double phase systems in bounded domains [(Articles in Press)]
  • Variation of parameter’s method Application of variation of parameter’s method for hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates [Volume 10, Issue 3, 2022, Pages 580-594]
  • Vasicek Model Numerical solution of stochastic models using spectral collocation method [Volume 11, Issue 3, 2023, Pages 630-642]
  • Vc-ZK equation Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation [Volume 9, Issue 1, 2021, Pages 300-312]
  • Velocity kinematics Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • Velocity profile and thermal profile Application of variation of parameter’s method for hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates [Volume 10, Issue 3, 2022, Pages 580-594]
  • VIM-Pade technique VIM-Pad´e technique for solving nonlinear and delay initial value problems [Volume 9, Issue 3, 2021, Pages 749-761]
  • Viscosity Study of the non-Newtonian behaviour of Reiner Rivlin relative to power law in arterial stenosis [Volume 10, Issue 4, 2022, Pages 928-941]
  • Viscous dissipation A mathematical study on non-linear ordinary differential equation for Magnetohydrodynamic flow of the Darcy-Forchheimer nanofluid [Volume 11, Issue 4, 2023, Pages 696-715]
  • Volterra equation A new numerical scheme for solving systems of integro-differential equations [Volume 1, Issue 2, 2013, Pages 108-119]
  • Volterra-Fredholm integral equation Shifted Jacobi collocation method for Volterra-Fredholm integral equation [Volume 10, Issue 2, 2022, Pages 408-418]
  • Volterra-Fredholm integral equations An approach based on statistical spline model for Volterra-Fredholm integral equations [Volume 4, Issue 1, 2016, Pages 30-42]
  • Volterra-Fredholm integro-differential equations The numerical approximation for the solution of linear and nonlinear integral equations of the second kind by interpolating moving least squares [Volume 9, Issue 3, 2021, Pages 830-845]
  • Volterra integral equation Solution of Volterra integral equations of the first kind with discontinuous kernels by using the Adomian decomposition method [Volume 12, Issue 1, 2024, Pages 189-195]
  • Volterra integral equation Wong-Zakai approximation of stochastic Volterra integral equations [Volume 12, Issue 3, 2024, Pages 484-501]
  • Volterra integral equations Neumann method for solving conformable fractional Volterra integral equations [Volume 8, Issue 1, 2020, Pages 54-68]
  • Volterra integro-differential equation Optimal control of Volterra integro-differential equations based on interpolation polynomials and collocation method [Volume 11, Issue 1, 2023, Pages 52-64]
  • Volterra integro-differential equations Application of the block backward differential formula for numerical solution of Volterra integro-differential equations [Volume 3, Issue 2, 2015, Pages 99-100]
  • Volterra Integro-differential equation(VIDE) On the numerical approximation of Volterra integro-differential equation using Laplace transform [Volume 8, Issue 2, 2020, Pages 305-313]
  • Von-Neumann stability A numerical investigation for the COVID-19 spatiotemporal lockdown-vaccination model [Volume 12, Issue 4, 2024, Pages 669-686]
  • Von-Neumann stability analysis An optimal B-spline collocation technique for numerical simulation of viscous coupled Burgers’ equation [Volume 10, Issue 4, 2022, Pages 1027-1045]
  • Vulnerability A novel hybrid method for solving combined functional neutral differential equations with several delays and investigation of convergence rate via residual function [Volume 7, Issue 3, 2019, Pages 396-417]

W

  • Wave equation Numerical studies of non-local hyperbolic partial differential equations using collocation methods [Volume 6, Issue 3, 2018, Pages 326-338]
  • Wave equation‎ Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries [Volume 4, Issue 4, 2016, Pages 298-308]
  • Waveform relaxation method Semi-Algebraic mode analysis for finite element discretisations of the heat equation [Volume 9, Issue 1, 2021, Pages 146-158]
  • Waveform relaxation method Extending a new two-grid waveform relaxation on a spatial finite element discretization [Volume 9, Issue 4, 2021, Pages 1148-1162]
  • Wavelet Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations [Volume 6, Issue 1, 2018, Pages 80-97]
  • Wavelet Applying new wavelet transform method on the generalized-FKPP equation [Volume 8, Issue 2, 2020, Pages 259-267]
  • Wavelet Galerkin method On the wavelet Galerkin method for solving the fractional Fredholm integro-differential equations [(Articles in Press)]
  • Wavelets A wavelet method for stochastic Volterra integral equations and its application to general stock model [Volume 5, Issue 2, 2017, Pages 170-188]
  • Wavelets Jacobi wavelets method for numerical solution of fractional population growth model [Volume 11, Issue 2, 2023, Pages 387-398]
  • Wave speed Mathematical modelling of the epidemiology of Corona Virus Infection with constant spatial diffusion term in Ghana. [(Articles in Press)]
  • Weakly singular fractional integro-differential equations A novel approach using a new generalization of Bernoulli wavelets for solving fractional integro-differential equations with singular kernel [(Articles in Press)]
  • Weakly singular kernel Spectral solution of fractional fourth order partial integro-differential equations [Volume 7, Issue 2, 2019, Pages 289-301]
  • Weakly singular kernel Hybrid collocation method for some classes of second-kind nonlinear weakly singular integral equations [Volume 11, Issue 1, 2023, Pages 183-196]
  • Weather stations of Iran Statistical inference for Functional data: two sample Behrens-Fisher problem [Volume 7, Issue 4 (Special Issue), 2019, Pages 608-615]
  • Weber fractional derivative On asymptotic stability of Weber fractional differential systems [Volume 6, Issue 1, 2018, Pages 30-39]
  • Weighted finite difference A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation [(Articles in Press)]
  • Weighted fractional Brownian motion The convergence of exponential Euler method for weighted fractional stochastic equations [Volume 10, Issue 2, 2022, Pages 538-548]
  • WENO A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients [Volume 1, Issue 1, 2013, Pages 1-15]
  • WENO A third-order weighted essentially non-oscillatory-flux limiter scheme for two-dimensional incompressible Navier-Stokes equations [Volume 11, Issue 1, 2023, Pages 1-11]
  • Weyl m-function Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals [Volume 9, Issue 1, 2021, Pages 244-257]
  • White noise Numerical simulation of two link robotic manipulator with white and colored noise [Volume 12, Issue 1, 2024, Pages 149-158]
  • White noise Dynamics of an SEIR epidemic model with saturated incidence rate including stochastic influence [Volume 12, Issue 2, 2024, Pages 350-360]
  • Wiener functions Numerical solution of Troesch's problem using Christov rational functions [Volume 3, Issue 4, 2015, Pages 247-257]
  • Within-host virus model Center manifold analysis and Hopf bifurcation of within-host virus model [Volume 6, Issue 3, 2018, Pages 266-279]
  • With-memory method Efficient family of three-step with-memory methods and their dynamics [Volume 12, Issue 3, 2024, Pages 599-609]
  • Wong-Zakai approximation Wong-Zakai approximation of stochastic Volterra integral equations [Volume 12, Issue 3, 2024, Pages 484-501]
  • Wright function Fractional Ostrovsky equation [Volume 8, Issue 4, 2020, Pages 648-660]

Y

Z

  • Zakharov-Kuznetsov Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics [Volume 13, Issue 1, 2025, Pages 1-12]
  • Zakharov–Kuznetsov equation On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method [Volume 13, Issue 1, 2025, Pages 258-270]
  • Zika Virus A mathematical analysis of Zika virus transmission with optimal control strategies [Volume 9, Issue 1, 2021, Pages 117-145]