Keyword Index

A

  • Adaptive step size New optimal adaptive stepsize algorithm for solving black-scholes equation [Volume 14, Issue 2, 2026, Pages 633-651]
  • Adaptive step-size An overlapping adaptive step-size multi-derivative hybrid block method for higher order initial value problems [Volume 14, Issue 2, 2026, Pages 798-827]
  • Advection-diffusion A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation [Volume 14, Issue 2, 2026, Pages 549-566]
  • Anisotropic Lebesgue-Sobolev space Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [Volume 14, Issue 1, 2026, Pages 235-246]
  • Approximation of derivatives New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [Volume 14, Issue 2, 2026, Pages 780-797]
  • Asymptotic behavior $L^{ell}-$Asymptotic properties of nonlinear Sturm-Liouville problems [Volume 14, Issue 2, 2026, Pages 766-779]

B

  • Backward differentiation formula An advanced numerical approach for solving stiff initial value problems using a self-starting two-stage composite block scheme [Volume 14, Issue 2, 2026, Pages 734-753]
  • Barenblatt-Zheltov-Kochina differential equation Inverse optimization problem for a fractional analog of the Barenblatt--Zheltov--Kochina equation [Volume 14, Issue 2, 2026, Pages 877-907]
  • Basic reproduction number Stability analysis of SAIR mathematical model with general incidence rates and temporary immunity [Volume 14, Issue 2, 2026, Pages 908-918]
  • Bioconvection Bioconvective flow surrounding a thin surgical needle in blood incorporating ternary hybrid nanoparticles [Volume 14, Issue 2, 2026, Pages 969-995]
  • Black-Scholes equation New optimal adaptive stepsize algorithm for solving black-scholes equation [Volume 14, Issue 2, 2026, Pages 633-651]
  • Black-Scholes equation Implicit cubic B-spline quasi-interpolation for solving the generalized distributed-order time-fractional Black-Scholes equation [Volume 14, Issue 2, 2026, Pages 947-957]
  • BMO space The behaviour of solutions boundary problem to nonlinear elliptic equations [Volume 14, Issue 2, 2026, Pages 652-660]
  • Boundary layers New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [Volume 14, Issue 2, 2026, Pages 780-797]
  • Boundary value problem Quintic B-spline method for numerical solution of second-order singularly perturbed delay differential equations [Volume 14, Issue 1, 2026, Pages 36-49]
  • Boundary value problems Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method [Volume 14, Issue 1, 2026, Pages 247-260]
  • B-spline quasi interpolation Implicit cubic B-spline quasi-interpolation for solving the generalized distributed-order time-fractional Black-Scholes equation [Volume 14, Issue 2, 2026, Pages 947-957]
  • Buoyancy effect A mathematical study on infinite boundary value problem for MHD flow of a micropolar nanofluid [Volume 14, Issue 2, 2026, Pages 701-720]

C

  • Calderon-Zygmund theory The behaviour of solutions boundary problem to nonlinear elliptic equations [Volume 14, Issue 2, 2026, Pages 652-660]
  • Caputo derivative A novel approach using a new generalization of Bernoulli wavelets for solving fractional integro-differential equations with singular kernel [Volume 14, Issue 1, 2026, Pages 274-291]
  • Caputo-Fabrizio derivative Compact finite difference scheme for numerical solution of Caputo-Fabrizio fractional Riccati differential equations [Volume 14, Issue 1, 2026, Pages 81-94]
  • Caputo fractional derivative A mathematical analysis of a non-linear smoking model via fractional operators [Volume 14, Issue 1, 2026, Pages 60-80]
  • Certainty matrix New optimal adaptive stepsize algorithm for solving black-scholes equation [Volume 14, Issue 2, 2026, Pages 633-651]
  • Chaotic Hopf bifurcation and chaotic attractors in two special jerk system cases [Volume 14, Issue 2, 2026, Pages 678-689]
  • Chest X-ray A U-Net framework using differential equations for enhanced computer vision in lung disease diagnosis [Volume 14, Issue 1, 2026, Pages 374-391]
  • Collocation method Analyzing the MHD boundary layer flow of Rivlin-Ericksen fluid over a stretching sheet by applying the Taylor wavelet approach [Volume 14, Issue 2, 2026, Pages 590-605]
  • Collocation method An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [Volume 14, Issue 1, 2026, Pages 305-315]
  • Compact finite difference A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation [Volume 14, Issue 2, 2026, Pages 549-566]
  • Compact finite difference method Compact finite difference scheme for numerical solution of Caputo-Fabrizio fractional Riccati differential equations [Volume 14, Issue 1, 2026, Pages 81-94]
  • Compound nonlinearity Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [Volume 14, Issue 1, 2026, Pages 235-246]
  • Conformable fractional derivative Soliton solutions in the nonlinear conformable Wu-Zhang system [Volume 14, Issue 2, 2026, Pages 929-946]
  • Conservation laws Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation [Volume 14, Issue 2, 2026, Pages 958-968]
  • Contraction mapping Jump-diffusion optimization: An iterative solution to the HJB equation for investment value [Volume 14, Issue 2, 2026, Pages 661-677]
  • Convergence An accurate finite-difference scheme for the numerical solution of a fractional differential equation [Volume 14, Issue 1, 2026, Pages 165-187]
  • Convergence Quintic B-spline method for numerical solution of second-order singularly perturbed delay differential equations [Volume 14, Issue 1, 2026, Pages 36-49]
  • Convergence Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method [Volume 14, Issue 1, 2026, Pages 247-260]
  • Convergence analysis Numerical solution of stochastic fractional integro-differential and Itô-Volterra integral equations via fractional Genocchi wavelets [Volume 14, Issue 1, 2026, Pages 110-128]
  • Convergence analysis Investigation of convergence analysis of the stochastic Heston model with one singular point [Volume 14, Issue 1, 2026, Pages 50-59]
  • Convergence analysis A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations [Volume 14, Issue 2, 2026, Pages 852-868]
  • Convergence analysis A new delayed SEIR-SEI model for dengue transmission control with sensitivity and competitive mathematical analysis [Volume 14, Issue 1, 2026, Pages 470-501]

D

  • Deep learning A U-Net framework using differential equations for enhanced computer vision in lung disease diagnosis [Volume 14, Issue 1, 2026, Pages 374-391]
  • Delayed prey-predator system An efficient numerical scheme for solving a competitive Lotka-Volterra system with two discrete delays [Volume 14, Issue 1, 2026, Pages 14-22]
  • Dengue A new delayed SEIR-SEI model for dengue transmission control with sensitivity and competitive mathematical analysis [Volume 14, Issue 1, 2026, Pages 470-501]
  • Difference equations On the resolvent operator of a singular impulsive Hahn–Dirac system [Volume 14, Issue 1, 2026, Pages 129-144]
  • Differential equations A comprehensive review on quantum computing and algorithms [Volume 14, Issue 1, 2026, Pages 292-304]
  • Differential quadrature method Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM [Volume 14, Issue 2, 2026, Pages 519-548]
  • Discrete Comparison Principle An accurate finite-difference scheme for the numerical solution of a fractional differential equation [Volume 14, Issue 1, 2026, Pages 165-187]
  • Distributional solution Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [Volume 14, Issue 1, 2026, Pages 235-246]
  • Dual theorem Iterative methods for large-scale problems [Volume 14, Issue 1, 2026, Pages 411-420]

E

  • Eigenvalues as signment New optimal adaptive stepsize algorithm for solving black-scholes equation [Volume 14, Issue 2, 2026, Pages 633-651]
  • Elzaki Projected Differential Transform (EPDT) Exact and iterative solutions for DEs, including Fokker-Planck and Newell-Whitehead-Segel equations, using Shehu transform and HPM [Volume 14, Issue 1, 2026, Pages 201-222]
  • Emden-Fowler equations A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations [Volume 14, Issue 2, 2026, Pages 852-868]
  • Entropy The Kolmogorov forward equations, information theory, and mathematical modeling of the Ising model [Volume 14, Issue 1, 2026, Pages 421-469]
  • Error analysis Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions [Volume 14, Issue 1, 2026, Pages 223-234]
  • Error analysis A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments [Volume 14, Issue 1, 2026, Pages 1-13]
  • Error estimation An efficient numerical scheme for solving a competitive Lotka-Volterra system with two discrete delays [Volume 14, Issue 1, 2026, Pages 14-22]
  • Euler series solution method An efficient numerical scheme for solving a competitive Lotka-Volterra system with two discrete delays [Volume 14, Issue 1, 2026, Pages 14-22]
  • Exact solutions Optical solitons and stability analysis for the improved Eckhaus equations [Volume 14, Issue 2, 2026, Pages 690-700]
  • Existence and uniqueness Quintic B-spline method for numerical solution of second-order singularly perturbed delay differential equations [Volume 14, Issue 1, 2026, Pages 36-49]
  • Existence and uniqueness Numerical analysis of the SEIR epidemic model with fractional order [Volume 14, Issue 1, 2026, Pages 392-410]
  • Existence and uniqueness Investigation of convergence analysis of the stochastic Heston model with one singular point [Volume 14, Issue 1, 2026, Pages 50-59]
  • Explicit solutions Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation [Volume 14, Issue 2, 2026, Pages 958-968]
  • Exponential Runge-kutta of the fourth-order Numerical simulation of a nonlinear system of space-fractional Klein-Gordon-Zakharov equations using the Fourier spectral method [Volume 14, Issue 1, 2026, Pages 188-200]

F

  • F-expansion method Dynamic insights into gaseous diffusion: analytical soliton and wave solutions via Chaffee-Infante equation in homogeneous media [Volume 14, Issue 1, 2026, Pages 261-273]
  • Fisher’s Equation An effective Legendre wavelet technique for the time-fractional Fisher equation [Volume 14, Issue 1, 2026, Pages 145-164]
  • Fokker-Planck Exact and iterative solutions for DEs, including Fokker-Planck and Newell-Whitehead-Segel equations, using Shehu transform and HPM [Volume 14, Issue 1, 2026, Pages 201-222]
  • Forest resources An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [Volume 14, Issue 1, 2026, Pages 305-315]
  • Fourier spectral method Numerical simulation of a nonlinear system of space-fractional Klein-Gordon-Zakharov equations using the Fourier spectral method [Volume 14, Issue 1, 2026, Pages 188-200]
  • Fractal operator A study of a fractal multi-pantograph delay model with varying coefficients using fractional order wavelets [Volume 14, Issue 2, 2026, Pages 828-851]
  • Fractional-convection term An accurate finite-difference scheme for the numerical solution of a fractional differential equation [Volume 14, Issue 1, 2026, Pages 165-187]
  • Fractional derivative A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function [Volume 14, Issue 2, 2026, Pages 567-580]
  • Fractional derivatives Implicit cubic B-spline quasi-interpolation for solving the generalized distributed-order time-fractional Black-Scholes equation [Volume 14, Issue 2, 2026, Pages 947-957]
  • Fractional differential equations Power series solutions of fractional Lotka-Volterra equation [Volume 14, Issue 2, 2026, Pages 869-876]
  • Fractional-order Genocchi wavelets Numerical solution of stochastic fractional integro-differential and Itô-Volterra integral equations via fractional Genocchi wavelets [Volume 14, Issue 1, 2026, Pages 110-128]
  • Fractional order Jacobi wavelets A study of a fractal multi-pantograph delay model with varying coefficients using fractional order wavelets [Volume 14, Issue 2, 2026, Pages 828-851]
  • Fractional Riccati differential equations Compact finite difference scheme for numerical solution of Caputo-Fabrizio fractional Riccati differential equations [Volume 14, Issue 1, 2026, Pages 81-94]
  • Fractional stochastic integro-differential equations Numerical solution of stochastic fractional integro-differential and Itô-Volterra integral equations via fractional Genocchi wavelets [Volume 14, Issue 1, 2026, Pages 110-128]
  • Fractional Wu-Zhang system Soliton solutions in the nonlinear conformable Wu-Zhang system [Volume 14, Issue 2, 2026, Pages 929-946]
  • Frechet derivative Jump-diffusion optimization: An iterative solution to the HJB equation for investment value [Volume 14, Issue 2, 2026, Pages 661-677]
  • Free boundary problem An heuristic method for solving an inverse problem in semiconductors governed by a nonlinear coupled system [Volume 14, Issue 2, 2026, Pages 606-615]
  • Functional differential equation A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments [Volume 14, Issue 1, 2026, Pages 1-13]
  • Function approximation A study of a fractal multi-pantograph delay model with varying coefficients using fractional order wavelets [Volume 14, Issue 2, 2026, Pages 828-851]

G

  • Gaseous Diffusion (GD) Dynamic insights into gaseous diffusion: analytical soliton and wave solutions via Chaffee-Infante equation in homogeneous media [Volume 14, Issue 1, 2026, Pages 261-273]
  • Generalized distributed--order Implicit cubic B-spline quasi-interpolation for solving the generalized distributed-order time-fractional Black-Scholes equation [Volume 14, Issue 2, 2026, Pages 947-957]
  • Generalized fractional kinetic equation A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function [Volume 14, Issue 2, 2026, Pages 567-580]
  • Generalized fractional-order Bernoulli wavelets A novel approach using a new generalization of Bernoulli wavelets for solving fractional integro-differential equations with singular kernel [Volume 14, Issue 1, 2026, Pages 274-291]
  • Generalized projective Riccati equation method Soliton solutions in the nonlinear conformable Wu-Zhang system [Volume 14, Issue 2, 2026, Pages 929-946]
  • GH-differentiability Existence result for the fuzzy form of the equation governing the unsteady motion of solid particles in a fluid medium [Volume 14, Issue 1, 2026, Pages 23-35]
  • Global error New optimal adaptive stepsize algorithm for solving black-scholes equation [Volume 14, Issue 2, 2026, Pages 633-651]
  • Global regularity The behaviour of solutions boundary problem to nonlinear elliptic equations [Volume 14, Issue 2, 2026, Pages 652-660]
  • Global stability A new delayed SEIR-SEI model for dengue transmission control with sensitivity and competitive mathematical analysis [Volume 14, Issue 1, 2026, Pages 470-501]
  • Growing Self-Organizing Map A dynamic neuro-fuzzy approach for pattern classification [Volume 14, Issue 1, 2026, Pages 337-347]

H

  • Hahn–Dirac system On the resolvent operator of a singular impulsive Hahn–Dirac system [Volume 14, Issue 1, 2026, Pages 129-144]
  • Hamilton-Jacobi-Bellman Equation Jump-diffusion optimization: An iterative solution to the HJB equation for investment value [Volume 14, Issue 2, 2026, Pages 661-677]
  • Hepatitis B virus Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model [Volume 14, Issue 1, 2026, Pages 95-109]
  • He’s homotopy perturbation (HPM) Exact and iterative solutions for DEs, including Fokker-Planck and Newell-Whitehead-Segel equations, using Shehu transform and HPM [Volume 14, Issue 1, 2026, Pages 201-222]
  • Higher order KP equation Multi-soliton solutions to the K-P equation of tenth-order [Volume 14, Issue 2, 2026, Pages 919-928]
  • Hilfer fractional operator Inverse optimization problem for a fractional analog of the Barenblatt--Zheltov--Kochina equation [Volume 14, Issue 2, 2026, Pages 877-907]
  • Homotopy perturbation method A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations [Volume 14, Issue 2, 2026, Pages 852-868]
  • Hopf Bifurcation Hopf bifurcation and chaotic attractors in two special jerk system cases [Volume 14, Issue 2, 2026, Pages 678-689]
  • Hybrid block method An overlapping adaptive step-size multi-derivative hybrid block method for higher order initial value problems [Volume 14, Issue 2, 2026, Pages 798-827]

I

  • Ibragimov method Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation [Volume 14, Issue 2, 2026, Pages 958-968]
  • Implicit integro-differential equation Existence result for the fuzzy form of the equation governing the unsteady motion of solid particles in a fluid medium [Volume 14, Issue 1, 2026, Pages 23-35]
  • Incomplete $\aleph$-function Impact of fractional order on reaction rates: Solutions to kinetic equations with incomplete $leph$-function [Volume 14, Issue 2, 2026, Pages 581-589]
  • Infinitely many conservation laws Infinitely many conservation laws, multi-wave solutions, and interactions for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations [Volume 14, Issue 2, 2026, Pages 754-765]
  • Integer factorization algorithm A comprehensive review on quantum computing and algorithms [Volume 14, Issue 1, 2026, Pages 292-304]
  • Integral operational matrix A study of a fractal multi-pantograph delay model with varying coefficients using fractional order wavelets [Volume 14, Issue 2, 2026, Pages 828-851]
  • Investment Value Function Jump-diffusion optimization: An iterative solution to the HJB equation for investment value [Volume 14, Issue 2, 2026, Pages 661-677]

J

  • Jerk system Hopf bifurcation and chaotic attractors in two special jerk system cases [Volume 14, Issue 2, 2026, Pages 678-689]
  • Jump Risk Jump-diffusion optimization: An iterative solution to the HJB equation for investment value [Volume 14, Issue 2, 2026, Pages 661-677]

K

  • Kinetic equation Impact of fractional order on reaction rates: Solutions to kinetic equations with incomplete $leph$-function [Volume 14, Issue 2, 2026, Pages 581-589]
  • Kullback-Leibler divergence The Kolmogorov forward equations, information theory, and mathematical modeling of the Ising model [Volume 14, Issue 1, 2026, Pages 421-469]

L

  • L1 method An accurate finite-difference scheme for the numerical solution of a fractional differential equation [Volume 14, Issue 1, 2026, Pages 165-187]
  • Lagrange's multiplier A computational iterative technique for a kind of nonlinear higher-order singular Emden-Fowler type equations [Volume 14, Issue 2, 2026, Pages 852-868]
  • Laplace transform A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function [Volume 14, Issue 2, 2026, Pages 567-580]
  • Laplace transform Numerical solution of stochastic fractional integro-differential and Itô-Volterra integral equations via fractional Genocchi wavelets [Volume 14, Issue 1, 2026, Pages 110-128]
  • Laplace transform Impact of fractional order on reaction rates: Solutions to kinetic equations with incomplete $leph$-function [Volume 14, Issue 2, 2026, Pages 581-589]
  • Laplace transform New optimal adaptive stepsize algorithm for solving black-scholes equation [Volume 14, Issue 2, 2026, Pages 633-651]
  • Laplacian operator of the fractional order Numerical simulation of a nonlinear system of space-fractional Klein-Gordon-Zakharov equations using the Fourier spectral method [Volume 14, Issue 1, 2026, Pages 188-200]
  • Lax pair Infinitely many conservation laws, multi-wave solutions, and interactions for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations [Volume 14, Issue 2, 2026, Pages 754-765]
  • Legendre wavelets An effective Legendre wavelet technique for the time-fractional Fisher equation [Volume 14, Issue 1, 2026, Pages 145-164]
  • Lie symmetry Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation [Volume 14, Issue 2, 2026, Pages 958-968]
  • Limiting distribution The Kolmogorov forward equations, information theory, and mathematical modeling of the Ising model [Volume 14, Issue 1, 2026, Pages 421-469]
  • Linear programming Iterative methods for large-scale problems [Volume 14, Issue 1, 2026, Pages 411-420]
  • Logarithmic transformation Infinitely many conservation laws, multi-wave solutions, and interactions for the (2+1)-dimensional complex modified Korteweg-de Vries system of equations [Volume 14, Issue 2, 2026, Pages 754-765]
  • Lotka-Volterra model Power series solutions of fractional Lotka-Volterra equation [Volume 14, Issue 2, 2026, Pages 869-876]
  • Lung Disease Classification A U-Net framework using differential equations for enhanced computer vision in lung disease diagnosis [Volume 14, Issue 1, 2026, Pages 374-391]

M

  • Matrix stability method Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM [Volume 14, Issue 2, 2026, Pages 519-548]
  • Medical Image Analysis A U-Net framework using differential equations for enhanced computer vision in lung disease diagnosis [Volume 14, Issue 1, 2026, Pages 374-391]
  • Merton Jump-Diffusion Model Jump-diffusion optimization: An iterative solution to the HJB equation for investment value [Volume 14, Issue 2, 2026, Pages 661-677]
  • MHD fluid flow A mathematical study on infinite boundary value problem for MHD flow of a micropolar nanofluid [Volume 14, Issue 2, 2026, Pages 701-720]
  • Micropolar nanofluid A mathematical study on infinite boundary value problem for MHD flow of a micropolar nanofluid [Volume 14, Issue 2, 2026, Pages 701-720]
  • Mittag-Leffler function A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function [Volume 14, Issue 2, 2026, Pages 567-580]
  • Mixed-fractional derivative An accurate finite-difference scheme for the numerical solution of a fractional differential equation [Volume 14, Issue 1, 2026, Pages 165-187]
  • Modified Atangana-Baleanu Caputo Derivative A mathematical analysis of a non-linear smoking model via fractional operators [Volume 14, Issue 1, 2026, Pages 60-80]
  • Modified-Picard iteration An overlapping adaptive step-size multi-derivative hybrid block method for higher order initial value problems [Volume 14, Issue 2, 2026, Pages 798-827]
  • Monotonic scheme A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation [Volume 14, Issue 2, 2026, Pages 549-566]
  • Multi-derivative An overlapping adaptive step-size multi-derivative hybrid block method for higher order initial value problems [Volume 14, Issue 2, 2026, Pages 798-827]
  • Multi-Index Bessel function A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function [Volume 14, Issue 2, 2026, Pages 567-580]
  • Multi-pantograph delay differential equation A study of a fractal multi-pantograph delay model with varying coefficients using fractional order wavelets [Volume 14, Issue 2, 2026, Pages 828-851]

N

  • Naval hydrodynamics New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [Volume 14, Issue 2, 2026, Pages 780-797]
  • Neuro-Fuzzy methods A dynamic neuro-fuzzy approach for pattern classification [Volume 14, Issue 1, 2026, Pages 337-347]
  • Newell-Whitehead-Segel Exact and iterative solutions for DEs, including Fokker-Planck and Newell-Whitehead-Segel equations, using Shehu transform and HPM [Volume 14, Issue 1, 2026, Pages 201-222]
  • Next generation method Numerical analysis of the SEIR epidemic model with fractional order [Volume 14, Issue 1, 2026, Pages 392-410]
  • Noisy Intermediate Scale Quantum (NISQ) A comprehensive review on quantum computing and algorithms [Volume 14, Issue 1, 2026, Pages 292-304]
  • Non-classical Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method [Volume 14, Issue 1, 2026, Pages 247-260]
  • Nonlinear algebraic systems Numerical idea to solve three-dimensional nonlinear Volterra integral equations with 3D-Legendre polynomials [Volume 14, Issue 1, 2026, Pages 361-373]
  • Non-linear boundary value problem A mathematical study on infinite boundary value problem for MHD flow of a micropolar nanofluid [Volume 14, Issue 2, 2026, Pages 701-720]
  • Nonlinear elliptic equation Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [Volume 14, Issue 1, 2026, Pages 235-246]
  • Nonlinear elliptic equation The behaviour of solutions boundary problem to nonlinear elliptic equations [Volume 14, Issue 2, 2026, Pages 652-660]
  • Non-linear equations Compact finite difference scheme for numerical solution of Caputo-Fabrizio fractional Riccati differential equations [Volume 14, Issue 1, 2026, Pages 81-94]
  • Nonlinear inverse problem Inverse optimization problem for a fractional analog of the Barenblatt--Zheltov--Kochina equation [Volume 14, Issue 2, 2026, Pages 877-907]
  • Nonlinear Klein-Gordon-Zakharov system Numerical simulation of a nonlinear system of space-fractional Klein-Gordon-Zakharov equations using the Fourier spectral method [Volume 14, Issue 1, 2026, Pages 188-200]
  • Nonlinear Sturm-Liouville problem $L^{ell}-$Asymptotic properties of nonlinear Sturm-Liouville problems [Volume 14, Issue 2, 2026, Pages 766-779]
  • Nonlinear Volterra integral equations Numerical idea to solve three-dimensional nonlinear Volterra integral equations with 3D-Legendre polynomials [Volume 14, Issue 1, 2026, Pages 361-373]
  • Non-local conditions A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments [Volume 14, Issue 1, 2026, Pages 1-13]
  • NSFD A new delayed SEIR-SEI model for dengue transmission control with sensitivity and competitive mathematical analysis [Volume 14, Issue 1, 2026, Pages 470-501]
  • NUAH B-spline Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM [Volume 14, Issue 2, 2026, Pages 519-548]
  • Numerical integration New optimal adaptive stepsize algorithm for solving black-scholes equation [Volume 14, Issue 2, 2026, Pages 633-651]
  • Numerical methods An effective Legendre wavelet technique for the time-fractional Fisher equation [Volume 14, Issue 1, 2026, Pages 145-164]
  • Numerical simulations Numerical analysis of the SEIR epidemic model with fractional order [Volume 14, Issue 1, 2026, Pages 392-410]

O

  • Operational integration matrix Analyzing the MHD boundary layer flow of Rivlin-Ericksen fluid over a stretching sheet by applying the Taylor wavelet approach [Volume 14, Issue 2, 2026, Pages 590-605]
  • Operational matrix Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions [Volume 14, Issue 1, 2026, Pages 223-234]
  • Optical solitons Optical solitons and stability analysis for the improved Eckhaus equations [Volume 14, Issue 2, 2026, Pages 690-700]
  • Optimal control Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model [Volume 14, Issue 1, 2026, Pages 95-109]
  • Optimal control An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [Volume 14, Issue 1, 2026, Pages 305-315]
  • Option pricing Investigation of convergence analysis of the stochastic Heston model with one singular point [Volume 14, Issue 1, 2026, Pages 50-59]
  • Overlapping An overlapping adaptive step-size multi-derivative hybrid block method for higher order initial value problems [Volume 14, Issue 2, 2026, Pages 798-827]

P

  • Pareto bound Iterative methods for large-scale problems [Volume 14, Issue 1, 2026, Pages 411-420]
  • Pattern recognition A dynamic neuro-fuzzy approach for pattern classification [Volume 14, Issue 1, 2026, Pages 337-347]
  • Periodic orbit Stability analysis of SAIR mathematical model with general incidence rates and temporary immunity [Volume 14, Issue 2, 2026, Pages 908-918]
  • Pollutants An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [Volume 14, Issue 1, 2026, Pages 305-315]
  • Pontryagin’s Maximum Principle Mathematical modelling with optimal control of infectious diseases with vaccination [Volume 14, Issue 2, 2026, Pages 616-632]
  • Power series method Power series solutions of fractional Lotka-Volterra equation [Volume 14, Issue 2, 2026, Pages 869-876]

Q

  • Quantum algorithm A comprehensive review on quantum computing and algorithms [Volume 14, Issue 1, 2026, Pages 292-304]
  • Quantum computers A comprehensive review on quantum computing and algorithms [Volume 14, Issue 1, 2026, Pages 292-304]
  • Quasilinearization An effective Legendre wavelet technique for the time-fractional Fisher equation [Volume 14, Issue 1, 2026, Pages 145-164]
  • Quintic B-spline method Quintic B-spline method for numerical solution of second-order singularly perturbed delay differential equations [Volume 14, Issue 1, 2026, Pages 36-49]

R

  • Reifenberg flat domain The behaviour of solutions boundary problem to nonlinear elliptic equations [Volume 14, Issue 2, 2026, Pages 652-660]
  • Reproducing kernel method A reproducing kernel method for solving nonlocal functional differential equations with delayed or advanced arguments [Volume 14, Issue 1, 2026, Pages 1-13]
  • Reproduction number Mathematical modelling with optimal control of infectious diseases with vaccination [Volume 14, Issue 2, 2026, Pages 616-632]
  • Resistance to advancement New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [Volume 14, Issue 2, 2026, Pages 780-797]
  • Riccati equation method Dynamic insights into gaseous diffusion: analytical soliton and wave solutions via Chaffee-Infante equation in homogeneous media [Volume 14, Issue 1, 2026, Pages 261-273]
  • Riemann-Liouville fractional integral Impact of fractional order on reaction rates: Solutions to kinetic equations with incomplete $leph$-function [Volume 14, Issue 2, 2026, Pages 581-589]
  • Riemann-Liouville integral A novel approach using a new generalization of Bernoulli wavelets for solving fractional integro-differential equations with singular kernel [Volume 14, Issue 1, 2026, Pages 274-291]
  • Rivlin-Erickson fluid Analyzing the MHD boundary layer flow of Rivlin-Ericksen fluid over a stretching sheet by applying the Taylor wavelet approach [Volume 14, Issue 2, 2026, Pages 590-605]
  • Rotation A mathematical and computational study of global stability in partially-ionized rotating plasma [Volume 14, Issue 2, 2026, Pages 502-518]
  • Runge-Kutta method Numerical solution of linear and nonlinear Schrödinger equations via the shifted Chebyshev collocation method [Volume 14, Issue 1, 2026, Pages 316-336]

S

  • SAIR mathematical model Stability analysis of SAIR mathematical model with general incidence rates and temporary immunity [Volume 14, Issue 2, 2026, Pages 908-918]
  • Sardar sub-equation method Soliton solutions in the nonlinear conformable Wu-Zhang system [Volume 14, Issue 2, 2026, Pages 929-946]
  • Schauder fixed point theorem Existence result for the fuzzy form of the equation governing the unsteady motion of solid particles in a fluid medium [Volume 14, Issue 1, 2026, Pages 23-35]
  • Schrödinger equation Numerical solution of linear and nonlinear Schrödinger equations via the shifted Chebyshev collocation method [Volume 14, Issue 1, 2026, Pages 316-336]
  • SEIR model Numerical analysis of the SEIR epidemic model with fractional order [Volume 14, Issue 1, 2026, Pages 392-410]
  • Self-excited attractors and Hidden attractors Hopf bifurcation and chaotic attractors in two special jerk system cases [Volume 14, Issue 2, 2026, Pages 678-689]
  • Shape optimization An heuristic method for solving an inverse problem in semiconductors governed by a nonlinear coupled system [Volume 14, Issue 2, 2026, Pages 606-615]
  • Shehu Transformation Exact and iterative solutions for DEs, including Fokker-Planck and Newell-Whitehead-Segel equations, using Shehu transform and HPM [Volume 14, Issue 1, 2026, Pages 201-222]
  • Shifted Bernoulli polynomials An efficient numerical solution of the optimal control mathematical models for pollutant spread through forest resources based on shifted Bernoulli polynomials [Volume 14, Issue 1, 2026, Pages 305-315]
  • Shifted Chebyshev polynomials Numerical solution of linear and nonlinear Schrödinger equations via the shifted Chebyshev collocation method [Volume 14, Issue 1, 2026, Pages 316-336]
  • Sinc Collocation method Efficient numerical solution of singularly perturbed two-point boundary value problems using double exponential non-classical sinc-collocation method [Volume 14, Issue 1, 2026, Pages 247-260]
  • Singularly perturbed delay differential equation Quintic B-spline method for numerical solution of second-order singularly perturbed delay differential equations [Volume 14, Issue 1, 2026, Pages 36-49]
  • Singular point Investigation of convergence analysis of the stochastic Heston model with one singular point [Volume 14, Issue 1, 2026, Pages 50-59]
  • Smoking Model A mathematical analysis of a non-linear smoking model via fractional operators [Volume 14, Issue 1, 2026, Pages 60-80]
  • Social Distancing Mathematical modelling with optimal control of infectious diseases with vaccination [Volume 14, Issue 2, 2026, Pages 616-632]
  • Solitary and soliton solutions Exact solutions of the nonlinear heat conduction equation using an analytical approach [Volume 14, Issue 1, 2026, Pages 348-360]
  • Space-fractional system Numerical simulation of a nonlinear system of space-fractional Klein-Gordon-Zakharov equations using the Fourier spectral method [Volume 14, Issue 1, 2026, Pages 188-200]
  • Spatio-temporal model Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model [Volume 14, Issue 1, 2026, Pages 95-109]
  • Spectral collocation method Numerical solution of linear and nonlinear Schrödinger equations via the shifted Chebyshev collocation method [Volume 14, Issue 1, 2026, Pages 316-336]
  • Spline methods Quintic B-spline method for numerical solution of second-order singularly perturbed delay differential equations [Volume 14, Issue 1, 2026, Pages 36-49]
  • Srivastava Polynomial A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function [Volume 14, Issue 2, 2026, Pages 567-580]
  • SSP-RK43 scheme Numerical approximation of coupled Schrödinger equations via NUAH B-spline DQM [Volume 14, Issue 2, 2026, Pages 519-548]
  • Stability An accurate finite-difference scheme for the numerical solution of a fractional differential equation [Volume 14, Issue 1, 2026, Pages 165-187]
  • Stability Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model [Volume 14, Issue 1, 2026, Pages 95-109]
  • Stability Stability analysis of SAIR mathematical model with general incidence rates and temporary immunity [Volume 14, Issue 2, 2026, Pages 908-918]
  • Stability analysis Optical solitons and stability analysis for the improved Eckhaus equations [Volume 14, Issue 2, 2026, Pages 690-700]
  • Stability analysis Mathematical modelling with optimal control of infectious diseases with vaccination [Volume 14, Issue 2, 2026, Pages 616-632]
  • State feedback New optimal adaptive stepsize algorithm for solving black-scholes equation [Volume 14, Issue 2, 2026, Pages 633-651]
  • Stationary distribution The Kolmogorov forward equations, information theory, and mathematical modeling of the Ising model [Volume 14, Issue 1, 2026, Pages 421-469]
  • Stochastic Heston model Investigation of convergence analysis of the stochastic Heston model with one singular point [Volume 14, Issue 1, 2026, Pages 50-59]
  • Stretching sheet Analyzing the MHD boundary layer flow of Rivlin-Ericksen fluid over a stretching sheet by applying the Taylor wavelet approach [Volume 14, Issue 2, 2026, Pages 590-605]
  • System of integral equations Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions [Volume 14, Issue 1, 2026, Pages 223-234]

T

  • Taylor wavelet Analyzing the MHD boundary layer flow of Rivlin-Ericksen fluid over a stretching sheet by applying the Taylor wavelet approach [Volume 14, Issue 2, 2026, Pages 590-605]
  • The $tanh$ method Multi-soliton solutions to the K-P equation of tenth-order [Volume 14, Issue 2, 2026, Pages 919-928]
  • The Blasius equation New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [Volume 14, Issue 2, 2026, Pages 780-797]
  • The Burgers-Huxley equation A highly accurate numerical technique for solving variable-order fractional Burgers-Huxley equation [Volume 14, Issue 2, 2026, Pages 721-733]
  • The exp-function approach Exact solutions of the nonlinear heat conduction equation using an analytical approach [Volume 14, Issue 1, 2026, Pages 348-360]
  • The Hirota bilinear method Multi-soliton solutions to the K-P equation of tenth-order [Volume 14, Issue 2, 2026, Pages 919-928]
  • The improved Eckhaus model Optical solitons and stability analysis for the improved Eckhaus equations [Volume 14, Issue 2, 2026, Pages 690-700]
  • The Kolmogorov forward equation The Kolmogorov forward equations, information theory, and mathematical modeling of the Ising model [Volume 14, Issue 1, 2026, Pages 421-469]
  • The nonlinear heat equation Exact solutions of the nonlinear heat conduction equation using an analytical approach [Volume 14, Issue 1, 2026, Pages 348-360]
  • Theoretical results Numerical analysis of the SEIR epidemic model with fractional order [Volume 14, Issue 1, 2026, Pages 392-410]
  • Thermal convection A mathematical and computational study of global stability in partially-ionized rotating plasma [Volume 14, Issue 2, 2026, Pages 502-518]
  • The Runge-Kutta method New explicit solution of the Blasius equation in the boundary layer around the hull of a ship by approximation of derivatives [Volume 14, Issue 2, 2026, Pages 780-797]
  • Three-dimensional Legendre polynomials Numerical idea to solve three-dimensional nonlinear Volterra integral equations with 3D-Legendre polynomials [Volume 14, Issue 1, 2026, Pages 361-373]
  • Truncation error Numerical treatment and optimal control of the hepatitis B virus spatio-temporal model [Volume 14, Issue 1, 2026, Pages 95-109]
  • Two-dimensional Block-Pulse function Numerical solutions and error analysis of a system of two-dimensional Volterra integral equations via Block-Pulse functions [Volume 14, Issue 1, 2026, Pages 223-234]

U

  • U-Net A U-Net framework using differential equations for enhanced computer vision in lung disease diagnosis [Volume 14, Issue 1, 2026, Pages 374-391]
  • Unique solvability Inverse optimization problem for a fractional analog of the Barenblatt--Zheltov--Kochina equation [Volume 14, Issue 2, 2026, Pages 877-907]

V

  • Variable exponent Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [Volume 14, Issue 1, 2026, Pages 235-246]
  • Variable-order fractional derivative A highly accurate numerical technique for solving variable-order fractional Burgers-Huxley equation [Volume 14, Issue 2, 2026, Pages 721-733]

W

  • Weakly singular fractional integro-differential equations A novel approach using a new generalization of Bernoulli wavelets for solving fractional integro-differential equations with singular kernel [Volume 14, Issue 1, 2026, Pages 274-291]
  • Weighted finite difference A monotonic weighted compact finite difference solution for a non-linear steady advection-diffusion equation [Volume 14, Issue 2, 2026, Pages 549-566]

Y

Z

  • Zeldovich-Frank-Kamenetskii equation Symmetry properties, exact solution and conservation laws of time-fractional Zeldovich-Frank-Kamenetskii equation [Volume 14, Issue 2, 2026, Pages 958-968]