Keyword Index

A

  • Absolute value equation Introducing three new smoothing functions: Analysis on smoothing-Newton algorithms [Volume 12, Issue 3, 2024, Pages 463-479]
  • Anti-periodic boundary value problems Convergence analysis of compact finite difference method for the solution of anti-periodic boundary value problems [Volume 12, Issue 1, 2024, Pages 1-15]
  • Artificial Neural Networks A neuro-fuzzy approach to compute the solution of a $Z$-numbers system with Trapezoidal fuzzy data [Volume 12, Issue 4, 2024, Pages 753-767]

B

  • Bifurcation Stochastic dynamics of Izhikevich-Fitzhugh neuron model [Volume 12, Issue 2, 2024, Pages 199-214]
  • Black-Scholes An efficient numerical method based on cubic B--splines for the time--fractional Black--Scholes European option pricing model [Volume 12, Issue 3, 2024, Pages 405-417]
  • Blow up On the blow up of solutions for hyperbolic equation involving the fractional Laplacian with source terms [Volume 12, Issue 2, 2024, Pages 267-276]
  • Boundary value problem A compact discretization of the boundary value problems of the nonlinear Fredholm integro-differential equations [Volume 12, Issue 2, 2024, Pages 233-246]

C

  • Cahn-Hilliard Analysis of a coupled pair of Cahn-Hilliard equations with nondegenerate mobility [Volume 12, Issue 1, 2024, Pages 51-70]
  • Chaotic system Using a modified Sinc neural network to identify the chaotic systems with an application in wind speed forecasting [Volume 12, Issue 4, 2024, Pages 733-752]
  • Chebyshev polynomials Tau algorithm for fractional delay differential equations utilizing seventh-kind Chebyshev polynomials [Volume 12, Issue 2, 2024, Pages 277-299]
  • Concurrent learning Robust exponential concurrent learning adaptive control for systems preceded by dead-zone input nonlinearity [Volume 12, Issue 2, 2024, Pages 371-385]
  • Convergence Targeted drug delivery in multi-layer capsules: an analytical and numerical study [Volume 12, Issue 3, 2024, Pages 387-403]
  • Convergence Application of compact local integrated RBFs technique to solve fourth-order time-fractional diffusion-wave system [Volume 12, Issue 3, 2024, Pages 431-449]
  • Convex quadratic programming Complexity analysis of primal-dual interior-point methods for convex quadratic programming based on a new twice parameterized kernel function [Volume 12, Issue 2, 2024, Pages 247-265]
  • Cubic B-spline An efficient numerical method based on cubic B--splines for the time--fractional Black--Scholes European option pricing model [Volume 12, Issue 3, 2024, Pages 405-417]

D

  • Data envelopment analysis Evaluating cost efficiency of decision-making units in an uncertain environment [Volume 12, Issue 3, 2024, Pages 565-582]
  • Discrete energy Numerical stability of discrete energy for a thermoelastic-Bresse system with second sound [Volume 12, Issue 4, 2024, Pages 671-686]
  • Drug release Targeted drug delivery in multi-layer capsules: an analytical and numerical study [Volume 12, Issue 3, 2024, Pages 387-403]
  • Dynamic equations New general integral transform on time scales [Volume 12, Issue 4, 2024, Pages 655-669]

E

  • Energy decay A nonautonomous delayed viscoelastic wave equation with a linear damping: well-posedness and exponential stability [Volume 12, Issue 2, 2024, Pages 319-336]
  • European option pricing model An efficient numerical method based on cubic B--splines for the time--fractional Black--Scholes European option pricing model [Volume 12, Issue 3, 2024, Pages 405-417]
  • Evaluating Evaluating cost efficiency of decision-making units in an uncertain environment [Volume 12, Issue 3, 2024, Pages 565-582]

F

  • Faedo-Galerkin Analysis of a coupled pair of Cahn-Hilliard equations with nondegenerate mobility [Volume 12, Issue 1, 2024, Pages 51-70]
  • Finite difference method Convergence analysis of compact finite difference method for the solution of anti-periodic boundary value problems [Volume 12, Issue 1, 2024, Pages 1-15]
  • Finite difference method A uniformly convergent numerical scheme for singularly perturbed parabolic turning point problem [Volume 12, Issue 3, 2024, Pages 501-516]
  • Finite element On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices [Volume 12, Issue 4, 2024, Pages 723-732]
  • Finite Element Method Unconditionally stable finite element method for the variable-order fractional Schrödinger equation with Mittag-Leffler kernel [Volume 12, Issue 3, 2024, Pages 533-550]
  • Finite Element Method Numerical stability of discrete energy for a thermoelastic-Bresse system with second sound [Volume 12, Issue 4, 2024, Pages 671-686]
  • Finite volume scheme A fifth-order symmetrical weighted hybrid ENO-flux limiter scheme for traffic flow model on networks [Volume 12, Issue 1, 2024, Pages 99-115]
  • Fractional calculus A new numerical method for discretization of the nonlinear Klein-Gordon model arising in light waves [Volume 12, Issue 1, 2024, Pages 71-84]
  • Fractional KdV equation A new approach to numerical solution of the time-fractional KdV-Burgers equations using least squares support vector regression [Volume 12, Issue 4, 2024, Pages 583-602]
  • Fredholm integro-differential equation A compact discretization of the boundary value problems of the nonlinear Fredholm integro-differential equations [Volume 12, Issue 2, 2024, Pages 233-246]

G

  • Gegenbauer polynomial A new numerical method for discretization of the nonlinear Klein-Gordon model arising in light waves [Volume 12, Issue 1, 2024, Pages 71-84]
  • Global convergence A hybrid CG algorithm for nonlinear unconstrained optimization with application in image restoration [Volume 12, Issue 2, 2024, Pages 301-317]
  • GMRES On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices [Volume 12, Issue 4, 2024, Pages 723-732]

H

  • Hybrid conjugate gradient A hybrid CG algorithm for nonlinear unconstrained optimization with application in image restoration [Volume 12, Issue 2, 2024, Pages 301-317]

I

  • Image restoration A hybrid CG algorithm for nonlinear unconstrained optimization with application in image restoration [Volume 12, Issue 2, 2024, Pages 301-317]
  • Integral transform New general integral transform on time scales [Volume 12, Issue 4, 2024, Pages 655-669]
  • Interior-point methods Complexity analysis of primal-dual interior-point methods for convex quadratic programming based on a new twice parameterized kernel function [Volume 12, Issue 2, 2024, Pages 247-265]
  • Interval type-2 fuzzy set An algorithm for multi-objective fuzzy linear programming problem with interval type-2 fuzzy numbers and ambiguity in parameters [Volume 12, Issue 1, 2024, Pages 177-197]
  • Inverse eigenvalue problem Inverse eigenvalue problem of nonnegative matrices via unit lower triangular matrices (Part I) [Volume 12, Issue 1, 2024, Pages 117-130]
  • Inverse heat conduction Finding a time-dependent reaction coefficient of a nonlinear heat source in an inverse heat conduction problem [Volume 12, Issue 1, 2024, Pages 17-32]
  • Inverse matrix Moore-Penrose inverse of an interval matrix and its application [Volume 12, Issue 1, 2024, Pages 145-155]
  • Izhikevich-FitzHugh model Stochastic dynamics of Izhikevich-Fitzhugh neuron model [Volume 12, Issue 2, 2024, Pages 199-214]

K

  • Krylov methods An improved extended block Arnoldi method for solving low-rank Lyapunov equation [Volume 12, Issue 1, 2024, Pages 85-98]

L

  • Large- and small-update methods Complexity analysis of primal-dual interior-point methods for convex quadratic programming based on a new twice parameterized kernel function [Volume 12, Issue 2, 2024, Pages 247-265]
  • L\'evy noise Stabilization by delay feedback control for highly nonlinear HSDDEs driven by Lévy noise [Volume 12, Issue 4, 2024, Pages 769-779]
  • Levy noise Stochastic permanence and extinction of a hybrid predator-prey system with jumps [Volume 12, Issue 3, 2024, Pages 551-564]
  • Lions's partial-derivatives with respect to measures Lions's partial derivatives with respect to probability measures for general mean-field stochastic control problem [Volume 12, Issue 3, 2024, Pages 517-532]
  • Lyapunov equation An improved extended block Arnoldi method for solving low-rank Lyapunov equation [Volume 12, Issue 1, 2024, Pages 85-98]
  • Lyapunov functional A nonautonomous delayed viscoelastic wave equation with a linear damping: well-posedness and exponential stability [Volume 12, Issue 2, 2024, Pages 319-336]

M

  • Machine learning A new approach to numerical solution of the time-fractional KdV-Burgers equations using least squares support vector regression [Volume 12, Issue 4, 2024, Pages 583-602]
  • Markov chain Stochastic permanence and extinction of a hybrid predator-prey system with jumps [Volume 12, Issue 3, 2024, Pages 551-564]
  • Moore-Penrose inverse Moore-Penrose inverse of an interval matrix and its application [Volume 12, Issue 1, 2024, Pages 145-155]
  • Multi-layer capsules Targeted drug delivery in multi-layer capsules: an analytical and numerical study [Volume 12, Issue 3, 2024, Pages 387-403]
  • Multilinear system Tensor splitting preconditioners for multilinear systems [Volume 12, Issue 3, 2024, Pages 481-499]
  • Multiscale nonlinear system of singularly perturbed differential equations Numerical treatment for a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type [Volume 12, Issue 2, 2024, Pages 355-369]

N

  • Neimark-Sacker bifurcation Dynamics and bifurcations of a discrete-time neural network model with a single delay [Volume 12, Issue 3, 2024, Pages 419-430]
  • Newton-type algorithm Introducing three new smoothing functions: Analysis on smoothing-Newton algorithms [Volume 12, Issue 3, 2024, Pages 463-479]
  • Nonlinear system of singularly perturbed differential equations Computational treatment of a convection-diffusion type nonlinear system of singularly perturbed differential equations [Volume 12, Issue 2, 2024, Pages 235-246]
  • Nonnegative matrices Inverse eigenvalue problem of nonnegative matrices via unit lower triangular matrices (Part I) [Volume 12, Issue 1, 2024, Pages 117-130]
  • Nonstandard finite difference Nonstandard finite difference method for solving singularly perturbed time-fractional delay parabolic reaction-diffusion problems [Volume 12, Issue 4, 2024, Pages 707-721]
  • Numerical stability Numerical stability of discrete energy for a thermoelastic-Bresse system with second sound [Volume 12, Issue 4, 2024, Pages 671-686]

O

  • Optimization On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices [Volume 12, Issue 4, 2024, Pages 723-732]

P

  • Parametric representation of fuzzy numbers Alternative views on fuzzy numbers and their application to fuzzy differential equations [Volume 12, Issue 4, 2024, Pages 623-654]
  • Particle swarm optimization Robust exponential concurrent learning adaptive control for systems preceded by dead-zone input nonlinearity [Volume 12, Issue 2, 2024, Pages 371-385]
  • PDE-constrained On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices [Volume 12, Issue 4, 2024, Pages 723-732]
  • Petrov-Galerkin A new approach to numerical solution of the time-fractional KdV-Burgers equations using least squares support vector regression [Volume 12, Issue 4, 2024, Pages 583-602]
  • Predator-prey system Stochastic permanence and extinction of a hybrid predator-prey system with jumps [Volume 12, Issue 3, 2024, Pages 551-564]

R

  • Radial basis function neural network Multi--objective model for architecture optimization and training of radial basis function neural networks [Volume 12, Issue 4, 2024, Pages 603-622]
  • Rectangular linear system Moore-Penrose inverse of an interval matrix and its application [Volume 12, Issue 1, 2024, Pages 145-155]

S

  • Schr{\"o}dinger equation Unconditionally stable finite element method for the variable-order fractional Schrödinger equation with Mittag-Leffler kernel [Volume 12, Issue 3, 2024, Pages 533-550]
  • Schur complement On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices [Volume 12, Issue 4, 2024, Pages 723-732]
  • Shishkin mesh A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems [Volume 12, Issue 1, 2024, Pages 33-49]
  • Shishkin mesh A uniformly convergent computational method for singularly perturbed parabolic partial differential equation with integral boundary condition [Volume 12, Issue 1, 2024, Pages 157-175]
  • Shishkin mesh Computational treatment of a convection-diffusion type nonlinear system of singularly perturbed differential equations [Volume 12, Issue 2, 2024, Pages 235-246]
  • Shishkin mesh Numerical treatment for a multiscale nonlinear system of singularly perturbed differential equations of convection-diffusion type [Volume 12, Issue 2, 2024, Pages 355-369]
  • Smoothing function Introducing three new smoothing functions: Analysis on smoothing-Newton algorithms [Volume 12, Issue 3, 2024, Pages 463-479]
  • Smooth radial basis function‎ Radial polynomials as alternatives to flat radial basis functions [Volume 12, Issue 2, 2024, Pages 337-354]
  • SOR A new $(I+P)$-like preconditioner for the SOR method for solving multi-linear systems with $ mathcal{M} $-tensors [Volume 12, Issue 1, 2024, Pages 131-144]
  • Stability A new numerical method for discretization of the nonlinear Klein-Gordon model arising in light waves [Volume 12, Issue 1, 2024, Pages 71-84]
  • Stability Targeted drug delivery in multi-layer capsules: an analytical and numerical study [Volume 12, Issue 3, 2024, Pages 387-403]
  • Stability Dynamics and bifurcations of a discrete-time neural network model with a single delay [Volume 12, Issue 3, 2024, Pages 419-430]
  • Stability Application of compact local integrated RBFs technique to solve fourth-order time-fractional diffusion-wave system [Volume 12, Issue 3, 2024, Pages 431-449]
  • Stability Unconditionally stable finite element method for the variable-order fractional Schrödinger equation with Mittag-Leffler kernel [Volume 12, Issue 3, 2024, Pages 533-550]
  • Stabilization Stabilization by delay feedback control for highly nonlinear HSDDEs driven by Lévy noise [Volume 12, Issue 4, 2024, Pages 769-779]
  • Stochastic mean-field models Lions's partial derivatives with respect to probability measures for general mean-field stochastic control problem [Volume 12, Issue 3, 2024, Pages 517-532]
  • Stochastic permanence Stochastic permanence and extinction of a hybrid predator-prey system with jumps [Volume 12, Issue 3, 2024, Pages 551-564]
  • Stochastic systems Stochastic dynamics of Izhikevich-Fitzhugh neuron model [Volume 12, Issue 2, 2024, Pages 199-214]
  • Successive approximations Special approximation method for solving system of ordinary and fractional integro-differential equations [Volume 12, Issue 4, 2024, Pages 781-798]
  • System identification Using a modified Sinc neural network to identify the chaotic systems with an application in wind speed forecasting [Volume 12, Issue 4, 2024, Pages 733-752]
  • System of ordinary differential equations Special approximation method for solving system of ordinary and fractional integro-differential equations [Volume 12, Issue 4, 2024, Pages 781-798]

T

  • Time fractional PDEs Application of compact local integrated RBFs technique to solve fourth-order time-fractional diffusion-wave system [Volume 12, Issue 3, 2024, Pages 431-449]
  • Time scales New general integral transform on time scales [Volume 12, Issue 4, 2024, Pages 655-669]
  • Turning point problem A uniformly convergent numerical scheme for singularly perturbed parabolic turning point problem [Volume 12, Issue 3, 2024, Pages 501-516]
  • Two-parameter nonlinear singular perturbation problems A fitted mesh method for a class of two-parameter nonlinear singular perturbation problems [Volume 12, Issue 1, 2024, Pages 33-49]

U

  • Unconstrained optimization A hybrid CG algorithm for nonlinear unconstrained optimization with application in image restoration [Volume 12, Issue 2, 2024, Pages 301-317]

V

  • Variable-order fractional equation Unconditionally stable finite element method for the variable-order fractional Schrödinger equation with Mittag-Leffler kernel [Volume 12, Issue 3, 2024, Pages 533-550]
  • Viscoelastic Targeted drug delivery in multi-layer capsules: an analytical and numerical study [Volume 12, Issue 3, 2024, Pages 387-403]

W

  • WENO scheme A fifth-order symmetrical weighted hybrid ENO-flux limiter scheme for traffic flow model on networks [Volume 12, Issue 1, 2024, Pages 99-115]