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 [(Articles in Press)]
-
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 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 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 [(Articles in Press)]
-
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]
-
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]
-
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 Ordinary differential equations
Solving Initial Value Problems Using Multilayer Perceptron Artificial Neural Networks [(Articles in Press)]
-
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]
-
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]
-
Bakry-{\'E}mery Ricci curvature
Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [(Articles in Press)]
-
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]
-
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)]
-
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]
-
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]
-
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 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]
-
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]
-
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]
-
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
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 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 [(Articles in Press)]
-
Boundary value problem
EIGENVALUE INTERVALS OF PARAMETERS FOR ITERATIVE SYSTEMS OF NONLINEAR HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS [(Articles in Press)]
-
Boundary value problem
A unified Explicit form for difference formulas for fractional and classical derivatives and applications [(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 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 [(Articles in Press)]
-
Boussinesq equation
Exponentially fitted IMEX peer methods for an advection-diffusion problem [Volume 12, Issue 2, 2024, Pages 287-303]
-
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]
-
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]
-
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 Schrodinger equation via stable Gaussian radial basis function interpolation [(Articles in Press)]
-
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 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 [(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 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 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 [(Articles in Press)]
-
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 THE AN EFFICIENT METHOD FOR THE FRACTIONAL NONLINEAR NEWELL–WHITEHEAD–SEGEL EQUATIONS [(Articles in Press)]
-
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 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 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 [(Articles in Press)]
-
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]
-
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]
-
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
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 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 formula
A unified Explicit form for difference formulas for fractional and classical derivatives and applications [(Articles in Press)]
-
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 scheme
An Efficient High-Order Compact Finite Difference Scheme for Lane-Emden Type Equations [(Articles in Press)]
-
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 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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
Continuous and discrete time optimization
A Chebyshev pseudo-spectral based approach for solving Troesch's problem with convergence analysis [(Articles in Press)]
-
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 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 [(Articles in Press)]
-
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 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]
-
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 [(Articles in Press)]
-
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
Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach [(Articles in Press)]
-
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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
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]
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]
-
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]
-
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]
-
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)]
-
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 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 [(Articles in Press)]
-
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]
-
Dirichlet problem
QUALITY THEOREMS ON THE SOLUTIONS OF QUASILINEAR SECOND ORDER PARABOLIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS [(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 [(Articles in Press)]
-
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]
-
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 [(Articles in Press)]
-
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]
-
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]
-
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]
-
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]
-
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]
-
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 bounds
An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [(Articles in Press)]
-
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]
-
Euler-Lagrange equation
An analytic study on the Euler-Lagrange equation arising in calculus of variations [Volume 2, Issue 3, 2014, Pages 140-152]
-
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 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 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 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 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 [(Articles in Press)]
-
Exp–function method(EFM)
APPLICATION OF A NEW METHOD FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER ARISING IN FLUID MECHANICS [(Articles in Press)]
-
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-Nystrom methods with frequency dependent coefficients for second-order initial value problem u''=f(x,u,u') [(Articles in Press)]
-
Exponential B-spline collocation
An efficient computational method based on exponential B-splines for a class of fractional sub-diffusion equations [(Articles in Press)]
-
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 hyperbolic function method (EHFM)
Extended hyperbolic function method for the model having cubic-quintic-septimal nonlinearity in weak nonlocal [(Articles in Press)]
-
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
-
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]
-
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 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
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 [(Articles in Press)]
-
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]
-
Fixed-point theorems
EIGENVALUE INTERVALS OF PARAMETERS FOR ITERATIVE SYSTEMS OF NONLINEAR HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS [(Articles in Press)]
-
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 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]
-
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]
-
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 [(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 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(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 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 [(Articles in Press)]
-
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 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 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 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 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 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 Schrodinger equation
A method of lines for solving the nonlinear time- and space-fractional Schrodinger equation via stable Gaussian radial basis function interpolation [(Articles in Press)]
-
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 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 [(Articles in Press)]
-
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 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 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
Innovative Computational Approach for fuzzy space-time fractional Telegraph equation via the New Iterative Transform Method [(Articles in Press)]
-
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
Innovative Computational Approach for fuzzy space-time fractional Telegraph equation via the New Iterative Transform Method [(Articles in Press)]
-
Fuzzy Sumudu Transform
Innovative Computational Approach for fuzzy space-time fractional Telegraph equation via the New Iterative Transform Method [(Articles in Press)]
-
Fuzzy Telegraph equations
Innovative Computational Approach for fuzzy space-time fractional Telegraph equation via the New Iterative Transform Method [(Articles in Press)]
-
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]
-
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]
-
Gegenbauer polynomial
Numerical solution of space fractional diffusion equation using shifted Gegenbauer polynomials [Volume 10, Issue 2, 2022, Pages 431-444]
-
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 differentiability
The existence result of a fuzzy implicit integro-differential equation in semilinear Banach space [Volume 5, Issue 3, 2017, Pages 232-245]
-
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 (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]
-
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]
-
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 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 estimate
Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [(Articles in Press)]
-
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
A Green's function-based computationally efficient approach for solving a kind of nonlocal BVPs [(Articles in Press)]
-
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]
-
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]
-
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 [(Articles in Press)]
-
Hadamard fractional derivative
EIGENVALUE INTERVALS OF PARAMETERS FOR ITERATIVE SYSTEMS OF NONLINEAR HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS [(Articles in Press)]
-
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]
-
HAM
A Study on the Fractional Ebola Virus Model by the Semi-Analytic and Numerical Approach [(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 [(Articles in Press)]
-
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 inequality
QUALITY THEOREMS ON THE SOLUTIONS OF QUASILINEAR SECOND ORDER PARABOLIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS [(Articles in Press)]
-
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]
-
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-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]
-
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]
-
High-order accuracy
An Efficient High-Order Compact Finite Difference Scheme for Lane-Emden Type Equations [(Articles in Press)]
-
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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
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)]
-
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]
-
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 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 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 [(Articles in Press)]
-
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]
-
Impulses
Impulsive initial value problems for a class of implicit fractional differential equations [Volume 8, Issue 1, 2020, Pages 141-154]
-
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 [(Articles in Press)]
-
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]
-
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]
-
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]
-
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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
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]
-
Isolation
Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach [(Articles in Press)]
-
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 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 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]
-
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 [(Articles in Press)]
K
-
K(2,2)
APPLICATION OF A NEW METHOD FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER ARISING IN FLUID MECHANICS [(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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
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]
-
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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
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 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 [(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]
-
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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
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]
-
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]
-
Lubich Generators
A unified Explicit form for difference formulas for fractional and classical derivatives and applications [(Articles in Press)]
-
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]
-
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
Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach [(Articles in Press)]
-
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 [(Articles in Press)]
-
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]
-
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 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 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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
M-fractional Volterra integral equations
Solving a Class of Volterra Integral Equations With M-Derivative [(Articles in Press)]
-
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]
-
Mild solutions
$L^p$-existence of mild solutions of fractional differential equations in Banach space [Volume 7, Issue 1, 2019, Pages 105-116]
-
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 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 [(Articles in Press)]
-
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 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 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]
-
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]
-
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]
-
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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
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]
-
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]
-
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]
-
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]
-
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 Equation (NWS)
ON THE AN EFFICIENT METHOD FOR THE FRACTIONAL NONLINEAR NEWELL–WHITEHEAD–SEGEL EQUATIONS [(Articles in Press)]
-
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 THE AN EFFICIENT METHOD FOR THE FRACTIONAL NONLINEAR NEWELL–WHITEHEAD–SEGEL EQUATIONS [(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]
-
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]
-
Noisy data
Application of cubic B-splines collocation method for solving nonlinear inverse diffusion problem [Volume 7, Issue 3, 2019, Pages 434-453]
-
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-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 Schrodinger equation via stable Gaussian radial basis function interpolation [(Articles in Press)]
-
Non-linear
Non-polynomial cubic spline method for solution of higher order boundary value problems [Volume 11, Issue 2, 2023, Pages 225-240]
-
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)]
-
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 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 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 [(Articles in Press)]
-
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 programming
A Chebyshev pseudo-spectral based approach for solving Troesch's problem with convergence analysis [(Articles in Press)]
-
Nonlinear Schrödinger equation
Two-Dimensional Nonlinear Schrödinger Equation Using an Alternating Direction Implicit Method [(Articles in Press)]
-
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 [(Articles in Press)]
-
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]
-
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]
-
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]
-
Numerical
Studying the thermal analysis of rectangular cross section porous fin: A numerical approach [Volume 10, Issue 2, 2022, Pages 338-350]
-
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 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 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 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
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]
-
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 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
Alternating Direction Implicit Method for Approximation Solution of the HCIR Model, including Transaction Costs in a Jump-Diffusion Model [(Articles in Press)]
-
Ordinary differential equations
A continuous approximation fitting to the discrete distributions using ODE [Volume 3, Issue 1, 2015, Pages 45-50]
-
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]
-
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 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]
-
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)]
-
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]
-
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]
-
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's iteration method
A Green's function-based computationally efficient approach for solving a kind of nonlocal BVPs [(Articles in Press)]
-
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]
-
Poincare return map
Limit cycles in piecewise smooth differential systems of focus-focus and saddle-saddle dynamics [(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
EIGENVALUE INTERVALS OF PARAMETERS FOR ITERATIVE SYSTEMS OF NONLINEAR HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS [(Articles in Press)]
-
Positive solution
q-Exponential Fixed Point Theorem for Mixed Monotone Operator with q-Fractional Problem [(Articles in Press)]
-
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]
-
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)]
-
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 [(Articles in Press)]
-
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]
-
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]
-
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]
-
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]
-
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 [(Articles in Press)]
-
Quasilinearization method
An Efficient High-Order Compact Finite Difference Scheme for Lane-Emden Type Equations [(Articles in Press)]
-
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]
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 Schrodinger equation via stable Gaussian radial basis function interpolation [(Articles in Press)]
-
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]
-
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]
-
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 [(Articles in Press)]
-
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)]
-
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]
-
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 [(Articles in Press)]
-
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 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]
-
Ricci soliton
Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [(Articles in Press)]
-
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 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 Schrodinger equation via stable Gaussian radial basis function interpolation [(Articles in Press)]
-
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]
-
RK4 method
Multi-Step DTM simulation of Transesterification reactions model [(Articles in Press)]
-
Rod equation
Direct and inverse problems of rod equation using finite element method and a correction technique [(Articles in Press)]
-
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 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 [(Articles in Press)]
-
Rung-Kutta methods
2-stage explicit total variation diminishing preserving Runge-Kutta methods [Volume 1, Issue 1, 2013, Pages 30-38]
S
-
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]
-
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]
-
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]
-
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]
-
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]
-
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 [(Articles in Press)]
-
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 [(Articles in Press)]
-
Service placement
A priority-based service placement policy for Fog-Cloud computing systems [Volume 7, Issue 4 (Special Issue), 2019, Pages 521-534]
-
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]
-
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-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 Gr"unwald approximation
A unified Explicit form for difference formulas for fractional and classical derivatives and applications [(Articles in Press)]
-
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
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 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 Sinc-collocation method for solving steady–state concentrations of carbon dioxide absorbed into phenyl glycidyl ether [(Articles in Press)]
-
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 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]
-
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]
-
Sobolev constant
Gradient estimates for a nonlinear equation under the almost Ricci soliton condition [(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 [(Articles in Press)]
-
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 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 wave solution
Some new soliton solutions for the nonlinear the fifth-order integrable equations [Volume 10, Issue 2, 2022, Pages 445-460]
-
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]
-
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 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-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 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 [(Articles in Press)]
-
Stability analysis
Highly accurate spline collocation technique for numerical solution of generalized Burgers-Fisher's problem [(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 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 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 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 and interest rate
Alternating Direction Implicit Method for Approximation Solution of the HCIR Model, including Transaction Costs in a Jump-Diffusion Model [(Articles in Press)]
-
Stochastic Volterra-Fredholm integral equations
Solving Ito integral equations with time delay via basis functions [Volume 8, Issue 2, 2020, Pages 268-281]
-
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 [(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]
-
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 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]
-
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 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 [(Articles in Press)]
-
Technologtcal intelligence
The use of Technological Intelligence Model in Solving Terrorism Dynamics: A Case Study of Nigeria [(Articles in Press)]
-
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 [(Articles in Press)]
-
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 existence and uniqueness of the solution
Solving a Class of Volterra Integral Equations With M-Derivative [(Articles in Press)]
-
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 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 [(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]
-
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 [(Articles in Press)]
-
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 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 [(Articles in Press)]
-
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 [(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 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 [(Articles in Press)]
-
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 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 [(Articles in Press)]
-
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]
-
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 [(Articles in Press)]
-
Turing instability
Hopf bifurcation and Turing instability in a cross-diffusion prey-predator system with group defense behavior [(Articles in Press)]
-
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 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 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]
-
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 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 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 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 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]
-
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 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 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]
Z
-
Zakharov–Kuznetsov
APPLICATION OF A NEW METHOD FOR NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER ARISING IN FLUID MECHANICS [(Articles in Press)]
-
Zika Virus
A mathematical analysis of Zika virus transmission with optimal control strategies [Volume 9, Issue 1, 2021, Pages 117-145]
Your query does not match with any item