Keyword Index

A

  • Allen–Cahn equation Approximate solutions to the Allen–Cahn equation using rational radial basis functions method [Volume 13, Issue 2, 2023, Pages 187-204]
  • AP -equitable efficiency Generalization of equitable efficiency in multiobjective optimization problems by the direct sum of matrices [Volume 13, Issue 1, 2023, Pages 80-101]
  • Auto-convolution Volterra integral equations Regularization of the generalized auto-convolution Volterra integral equation of the first kind [Volume 13, Issue 2, 2023, Pages 205-223]

B

  • Band matrices A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems [Volume 13, Issue 4, 2023, Pages 578-603]
  • Basic reproduction number, Numerical simulation Optimal control analysis for modeling HIV transmission [Volume 13, Issue 4, 2023, Pages 747-762]
  • Bessel polynomials Numerical study of sine-Gordon equations using Bessel collocation method [Volume 13, Issue 4, 2023, Pages 728-746]
  • Bioconvection Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]
  • Boundary value problems A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems [Volume 13, Issue 4, 2023, Pages 578-603]
  • Buoyancy ratio Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]

C

  • Caputo derivative Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]
  • Caputo fractional derivative Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]
  • Clustering Improving the performance of the FCM algorithm in clustering using the DBSCAN algorithm [Volume 13, Issue 4, 2023, Pages 763-774]
  • Collocation method A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics [Volume 13, Issue 2, 2023, Pages 243-261]
  • Collocation method Collection-based numerical method for multi-order fractional integro-differential equations [Volume 13, Issue 4, 2023, Pages 604-626]
  • Collocation meth-ods Regularization of the generalized auto-convolution Volterra integral equation of the first kind [Volume 13, Issue 2, 2023, Pages 205-223]
  • Con-vergence analysis A family of eight-order interval methods for computing rigorous bounds to the solution to nonlinear equations [Volume 13, Issue 1, 2023, Pages 102-120]
  • Convergence Analysis A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics [Volume 13, Issue 2, 2023, Pages 243-261]
  • Convergence Analysis A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [Volume 13, Issue 4, 2023, Pages 672-694]
  • Convergence Analysis Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]
  • Convex constraint A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
  • Convolution inequalities A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
  • Convolution type integral equations A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
  • Coupled Burgers equations Solving two-dimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method [Volume 13, Issue 3, 2023, Pages 397-425]
  • Credit default swap (CDS) Finding an efficient machine learning predictor for lesser liquid credit default swaps in equity markets [Volume 13, Issue 1, 2023, Pages 19-37]
  • Cubic hat functions Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]

D

  • DBSCAN Improving the performance of the FCM algorithm in clustering using the DBSCAN algorithm [Volume 13, Issue 4, 2023, Pages 763-774]
  • Duality On optimality and duality for multiobjective interval-valued programming problems with vanishing constraints [Volume 13, Issue 3, 2023, Pages 354-384]

E

  • Efficiency index Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]
  • Eigenfunction Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]
  • Eigen-value Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]

F

  • Finite Volume Method Two-layer shallow water formula with slope and uneven bottom solved by finite volume method [Volume 13, Issue 2, 2023, Pages 317-335]
  • Fitted operator scheme A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay [Volume 13, Issue 4, 2023, Pages 627-645]
  • Fixed point Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]
  • Forward finite difference scheme An improvised technique of quintic hermite splines to discretize generalized Burgers–Huxley type equations [Volume 13, Issue 1, 2023, Pages 59-79]
  • Fractional Bagley–Torvik equation Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]
  • Fractional differential equation Analysis and optimal control of a fractional MSD model [Volume 13, Issue 3, 2023, Pages 481-499]
  • Fractional integral-differential equations Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]
  • Fractional operational matrix Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]
  • Fractional-order shifted Hahn functions A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [Volume 13, Issue 4, 2023, Pages 672-694]
  • Fractional-time partial differential equations A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [Volume 13, Issue 4, 2023, Pages 672-694]
  • Fragile Points Method Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [Volume 13, Issue 1, 2023, Pages 1-18]
  • Fredholm-Volterra equations Collection-based numerical method for multi-order fractional integro-differential equations [Volume 13, Issue 4, 2023, Pages 604-626]
  • Function evaluation Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]
  • Fuzzy approximation Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [Volume 13, Issue 3, 2023, Pages 532-552]
  • Fuzzy clustering Improving the performance of the FCM algorithm in clustering using the DBSCAN algorithm [Volume 13, Issue 4, 2023, Pages 763-774]
  • Fuzzy Number of type L-R Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [Volume 13, Issue 3, 2023, Pages 532-552]

G

  • Genocchi polynomials Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]

H

  • Heat Source An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
  • Hepatitis C Numerical nonlinear model solutions for the hepatitis C transmission between people and medical equipment using Jacobi wavelets method [Volume 13, Issue 4, 2023, Pages 646-671]
  • HIV Optimal control analysis for modeling HIV transmission [Volume 13, Issue 4, 2023, Pages 747-762]
  • Hölder continuous coefficient Modified Runge–Kutta method with convergence analysis for nonlinear stochastic differential equations with Hölder continuous diffusion coefficient [Volume 13, Issue 2, 2023, Pages 285-316]
  • Hopf bifurcation Stability and Hopf bifurcation in leech heart interneuron model [Volume 13, Issue 2, 2023, Pages 170-186]

I

  • Image de-blurring A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
  • Inclination angle Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]
  • Initial guess Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]
  • Integral transform A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
  • Integro-differential equations Collection-based numerical method for multi-order fractional integro-differential equations [Volume 13, Issue 4, 2023, Pages 604-626]
  • Interpolated variational iteration method The interpolated variational iteration method for solving a class of nonlinear optimal control problems [Volume 13, Issue 2, 2023, Pages 224-242]
  • Interval arithmetic A family of eight-order interval methods for computing rigorous bounds to the solution to nonlinear equations [Volume 13, Issue 1, 2023, Pages 102-120]
  • Inverse Problems An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
  • Iterative method A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution [Volume 13, Issue 2, 2023, Pages 157-169]
  • Iterative method Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]

J

  • Jacobi wavelets Numerical nonlinear model solutions for the hepatitis C transmission between people and medical equipment using Jacobi wavelets method [Volume 13, Issue 4, 2023, Pages 646-671]

L

  • Lagrange polynomials A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics [Volume 13, Issue 2, 2023, Pages 243-261]
  • Lane–Emden type differential equations A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
  • Lavrentiev regularization method Regularization of the generalized auto-convolution Volterra integral equation of the first kind [Volume 13, Issue 2, 2023, Pages 205-223]
  • Linear barycentric rational inter-polants An operational matrix method for solving a class of nonlinear Volterra integral equations arising in steady activation of a skeletal muscle [Volume 13, Issue 2, 2023, Pages 336-353]
  • Line search A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
  • Liquidity Finding an efficient machine learning predictor for lesser liquid credit default swaps in equity markets [Volume 13, Issue 1, 2023, Pages 19-37]
  • Lucas polynomials Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]

M

  • Machine learning Finding an efficient machine learning predictor for lesser liquid credit default swaps in equity markets [Volume 13, Issue 1, 2023, Pages 19-37]
  • Maize streak virus Analysis and optimal control of a fractional MSD model [Volume 13, Issue 3, 2023, Pages 481-499]
  • Modulus of convexity Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]
  • Multiobjective interval-valued optimization problem On optimality and duality for multiobjective interval-valued programming problems with vanishing constraints [Volume 13, Issue 3, 2023, Pages 354-384]
  • Multiobjective programming Generalization of equitable efficiency in multiobjective optimization problems by the direct sum of matrices [Volume 13, Issue 1, 2023, Pages 80-101]
  • Multi- order Collection-based numerical method for multi-order fractional integro-differential equations [Volume 13, Issue 4, 2023, Pages 604-626]

N

  • Nanofluid Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]
  • Nearest Trapezoidal Fuzzy Number Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [Volume 13, Issue 3, 2023, Pages 532-552]
  • Newton method A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution [Volume 13, Issue 2, 2023, Pages 157-169]
  • Noncyclic contraction map Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]
  • Nondominated Generalization of equitable efficiency in multiobjective optimization problems by the direct sum of matrices [Volume 13, Issue 1, 2023, Pages 80-101]
  • Nonlinear equations A family of eight-order interval methods for computing rigorous bounds to the solution to nonlinear equations [Volume 13, Issue 1, 2023, Pages 102-120]
  • Nonlinear Fredholm integro-differential equations Effective numerical methods for nonlinear singular two-point boundary value Fredholm integro-differential equations [Volume 13, Issue 3, 2023, Pages 444-459]
  • Nonlinear Monotone Equations A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
  • Nonlinear scalar equations Evaluation of iterative methods for solving nonlinear scalar equations [Volume 13, Issue 3, 2023, Pages 426-443]
  • Numerical algorithms Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]
  • Numerical Fluxes Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [Volume 13, Issue 1, 2023, Pages 1-18]
  • Numerical Method Effective numerical methods for nonlinear singular two-point boundary value Fredholm integro-differential equations [Volume 13, Issue 3, 2023, Pages 444-459]
  • Numerical simulation Analysis and optimal control of a fractional MSD model [Volume 13, Issue 3, 2023, Pages 481-499]

O

  • Operational matrix An operational matrix method for solving a class of nonlinear Volterra integral equations arising in steady activation of a skeletal muscle [Volume 13, Issue 2, 2023, Pages 336-353]
  • Operational matrix An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
  • Operational matrix of derivative Numerical nonlinear model solutions for the hepatitis C transmission between people and medical equipment using Jacobi wavelets method [Volume 13, Issue 4, 2023, Pages 646-671]
  • Optimal control problem An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
  • Optimal control problem Optimal control analysis for modeling HIV transmission [Volume 13, Issue 4, 2023, Pages 747-762]
  • Optimal control problems The interpolated variational iteration method for solving a class of nonlinear optimal control problems [Volume 13, Issue 2, 2023, Pages 224-242]
  • Or-thogonal Collocation Numerical study of sine-Gordon equations using Bessel collocation method [Volume 13, Issue 4, 2023, Pages 728-746]

P

  • Parametric spline A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems [Volume 13, Issue 4, 2023, Pages 578-603]
  • Pascal’s triangle A generalized form of the parametric spline methods of degree (2k + 1) for solving a variety of two-point boundary value problems [Volume 13, Issue 4, 2023, Pages 578-603]
  • Peclet number Impact of inclination angle on thermo-bioconvection of nanofluid containing gyrotactic microorganisms saturated in porous square cavity [Volume 13, Issue 1, 2023, Pages 141-156]
  • Pontryagin’s maximum principle The interpolated variational iteration method for solving a class of nonlinear optimal control problems [Volume 13, Issue 2, 2023, Pages 224-242]
  • Power series A three-free-parameter class of power series based iterative method for approximation of nonlinear equations solution [Volume 13, Issue 2, 2023, Pages 157-169]
  • Priori and posteriori errors estimates Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]
  • Projection method A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]

Q

  • QUICK scheme Two-layer shallow water formula with slope and uneven bottom solved by finite volume method [Volume 13, Issue 2, 2023, Pages 317-335]
  • Quintic Hermite splines An improvised technique of quintic hermite splines to discretize generalized Burgers–Huxley type equations [Volume 13, Issue 1, 2023, Pages 59-79]

R

  • Rational RBFs method Approximate solutions to the Allen–Cahn equation using rational radial basis functions method [Volume 13, Issue 2, 2023, Pages 187-204]
  • RBFs Approximate solutions to the Allen–Cahn equation using rational radial basis functions method [Volume 13, Issue 2, 2023, Pages 187-204]
  • Residual error function Numerical solution of fractional Bagley–Torvik equations using Lucas polynomials [Volume 13, Issue 4, 2023, Pages 695-710]
  • Rigorous bounds A family of eight-order interval methods for computing rigorous bounds to the solution to nonlinear equations [Volume 13, Issue 1, 2023, Pages 102-120]
  • Routh–Hurwitz criteria Stability and Hopf bifurcation in leech heart interneuron model [Volume 13, Issue 2, 2023, Pages 170-186]
  • Runge–Kutta method Approximate solutions to the Allen–Cahn equation using rational radial basis functions method [Volume 13, Issue 2, 2023, Pages 187-204]

S

  • Schrödinger equa-tion Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [Volume 13, Issue 1, 2023, Pages 1-18]
  • Shape Function Nearest fuzzy number of type L-R to an arbitrary fuzzy number with applications to fuzzy linear system [Volume 13, Issue 3, 2023, Pages 532-552]
  • Shifted Legendre polynomials (SLPs) An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials [Volume 13, Issue 3, 2023, Pages 460-480]
  • Signal processing A modified Liu-Storey scheme for nonlinear systems with an application to image recovery [Volume 13, Issue 1, 2023, Pages 38-58]
  • Singular perturbation Fitted scheme for singularly perturbed time delay reaction-diffusion problems [Volume 13, Issue 2, 2023, Pages 262-284]
  • Singular perturbation A robust uniformly convergent scheme for two parameters singularly perturbed parabolic problems with time delay [Volume 13, Issue 4, 2023, Pages 627-645]
  • Singular perturbation problem Singularly perturbed two-point boundary value problem by applying exponential fitted finite difference method [Volume 13, Issue 4, 2023, Pages 711-727]
  • Spectral method, Error analysis A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [Volume 13, Issue 4, 2023, Pages 672-694]
  • Stability Stability and Hopf bifurcation in leech heart interneuron model [Volume 13, Issue 2, 2023, Pages 170-186]
  • Stability analysis An improvised technique of quintic hermite splines to discretize generalized Burgers–Huxley type equations [Volume 13, Issue 1, 2023, Pages 59-79]
  • Stability analysis Solving two-dimensional coupled Burgers equations via a stable hybridized discontinuous Galerkin method [Volume 13, Issue 3, 2023, Pages 397-425]
  • Stability and convergence Singularly perturbed two-point boundary value problem by applying exponential fitted finite difference method [Volume 13, Issue 4, 2023, Pages 711-727]
  • Stochastic differential equation Modified Runge–Kutta method with convergence analysis for nonlinear stochastic differential equations with Hölder continuous diffusion coefficient [Volume 13, Issue 2, 2023, Pages 285-316]
  • Sturm–Liouville problem Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [Volume 13, Issue 1, 2023, Pages 121-140]
  • System of Fredholm integral equation A robust method for optimal control problems governed by system of Fredholm integral equations in mechanics [Volume 13, Issue 2, 2023, Pages 243-261]

T

U

  • Uniformly convex Ba-nach space Error estimates for approximating fixed points and best proximity points for noncyclic and cyclic contraction mappings [Volume 13, Issue 3, 2023, Pages 385-396]

V

  • Volterra integral equations An operational matrix method for solving a class of nonlinear Volterra integral equations arising in steady activation of a skeletal muscle [Volume 13, Issue 2, 2023, Pages 336-353]
  • Voronoi Diagram Applying the meshless Fragile Points method to solve the two-dimensional linear Schrödinger equation on arbitrary domains [Volume 13, Issue 1, 2023, Pages 1-18]

W

  • Wave equation Numerical study of sine-Gordon equations using Bessel collocation method [Volume 13, Issue 4, 2023, Pages 728-746]
  • Wave-like partial differential equations A novel integral transform operator and its applications [Volume 13, Issue 3, 2023, Pages 553-575]
  • Weakly singular kernels Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [Volume 13, Issue 3, 2023, Pages 500-531]