Keyword Index

A

B

  • 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]

C

  • 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]
  • 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 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 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]
  • 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 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]
  • 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

  • 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]
  • 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]
  • 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]
  • 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]
  • 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-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 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]
  • 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]

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 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]
  • 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 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]
  • 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]

I

K

  • 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]
  • 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]
  • 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]
  • Legendre wavelets An effective Legendre wavelet technique for the time-fractional Fisher equation [Volume 14, Issue 1, 2026, Pages 145-164]
  • 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]
  • 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

  • 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]
  • 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]

N

  • 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]
  • Nonlinear elliptic equation Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [Volume 14, Issue 1, 2026, Pages 235-246]
  • 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 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 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]
  • 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 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]
  • 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]

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]
  • 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]

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

  • 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]
  • 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 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]
  • 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

  • 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]
  • 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]
  • 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]
  • 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]
  • 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]
  • 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

  • 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 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]
  • 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]

V

  • Variable exponent Existence results for nonlinear elliptic $overrightarrow{p}(cdot)-$equations [Volume 14, Issue 1, 2026, Pages 235-246]

W

Y