Keyword Index

A

  • Alternating direction implicit approach Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • Artificial Neural Networks Solving initial value problems using multilayer perceptron artificial neural networks [Volume 13, Issue 1, 2025, Pages 13-24]

B

  • Back-propagation algorithm Solving initial value problems using multilayer perceptron artificial neural networks [Volume 13, Issue 1, 2025, Pages 13-24]
  • Boundary value problem A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]

C

  • Caputo derivative A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]
  • CFL condition On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations [Volume 13, Issue 1, 2025, Pages 95-106]
  • Compact finite difference formula A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]
  • Compact finite difference scheme An efficient high-order compact finite difference scheme for Lane-Emden-type equations [Volume 13, Issue 1, 2025, Pages 107-122]
  • Conserved vector fields Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times [Volume 13, Issue 1, 2025, Pages 249-257]
  • Convergence analysis A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Cost of transaction Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • Cross-diffusion Hopf bifurcation and Turing instability in a cross-diffusion prey-predator system with group defense behavior [Volume 13, Issue 1, 2025, Pages 294-306]
  • Cylindrically space-times Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times [Volume 13, Issue 1, 2025, Pages 249-257]

D

  • Dirac integrable system Unveiling traveling waves and solitons of dirac integrable system via homogenous balance and singular manifolds methods [Volume 13, Issue 1, 2025, Pages 61-72]
  • Drinfeld-Sokolov system Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]

E

  • Existence and uniqueness of solution Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • Exp–function method Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Exp-function method(EFM) Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics [Volume 13, Issue 1, 2025, Pages 1-12]

F

  • Fixed point On unique solutions of integral equations by progressive contractions [Volume 13, Issue 1, 2025, Pages 183-189]
  • Fractional derivative A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]
  • Fractional Schrödinger equation A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]

G

  • Generalized Drinfeld-Sokolov Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Generalized ( G′/G )-expansion method On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method [Volume 13, Issue 1, 2025, Pages 258-270]
  • Generalized Zakharov-Kuznetsov equation On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method [Volume 13, Issue 1, 2025, Pages 258-270]
  • Green’s function A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]

H

  • Hammerstein integral equation On unique solutions of integral equations by progressive contractions [Volume 13, Issue 1, 2025, Pages 183-189]
  • High-order accuracy An efficient high-order compact finite difference scheme for Lane-Emden-type equations [Volume 13, Issue 1, 2025, Pages 107-122]
  • Homogeneous balance method Unveiling traveling waves and solitons of dirac integrable system via homogenous balance and singular manifolds methods [Volume 13, Issue 1, 2025, Pages 61-72]
  • Hopf Bifurcation Hopf bifurcation and Turing instability in a cross-diffusion prey-predator system with group defense behavior [Volume 13, Issue 1, 2025, Pages 294-306]

I

  • Implicit method Finite-difference method for Hygrothermoelastic boundary value problem [Volume 13, Issue 1, 2025, Pages 157-168]
  • Incidence Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach (R1) [Volume 13, Issue 1, 2025, Pages 123-141]

J

  • Jump-diffusion process Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]

K

  • K(2 Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics [Volume 13, Issue 1, 2025, Pages 1-12]
  • KdV Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics [Volume 13, Issue 1, 2025, Pages 1-12]
  • Kernel density estimation Kernel density estimation applications in vessel extraction for MRA images [Volume 13, Issue 1, 2025, Pages 190-200]

L

  • Lane-Emden equations An efficient high-order compact finite difference scheme for Lane-Emden-type equations [Volume 13, Issue 1, 2025, Pages 107-122]
  • Large-scale satellite images Comparison of feature-based algorithms for large-scale satellite image matching [Volume 13, Issue 1, 2025, Pages 142-156]
  • Local M-fractional integral Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • Lubich Generators A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]

M

  • Mathematical Modelling The use of technological intelligence model in solving terrorism dynamics: a case study of Nigeria [Volume 13, Issue 1, 2025, Pages 201-213]
  • M-fractional Neumann method Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • M-fractional Volterra integral equations Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • Minimal Lagrangian Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times [Volume 13, Issue 1, 2025, Pages 249-257]
  • Mixed monotone operator q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem [Volume 13, Issue 1, 2025, Pages 73-94]
  • Moisture diffusivity Finite-difference method for Hygrothermoelastic boundary value problem [Volume 13, Issue 1, 2025, Pages 157-168]
  • Mott-fractional Mott functions Designing an efficient algorithm for fractional partial integro-differential viscoelastic equations with weakly singular kernel [Volume 13, Issue 1, 2025, Pages 214-232]
  • MRA images Kernel density estimation applications in vessel extraction for MRA images [Volume 13, Issue 1, 2025, Pages 190-200]

N

  • Newell-Whitehead-Segel Equation (NWS) On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations [Volume 13, Issue 1, 2025, Pages 95-106]
  • Newtonian type linearization method (NTLM) On an efficient method for the fractional nonlinear Newell-Whithead-Segel equations [Volume 13, Issue 1, 2025, Pages 95-106]
  • Nonlinear A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]
  • Nonlinear partial differential equation Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Nonlinear Schrödinger equation (NLSE) Extended hyperbolic function method for the model having cubic-quintic-septimal nonlinearity in weak nonlocal media [Volume 13, Issue 1, 2025, Pages 271-281]
  • Nonlocal conditions A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]

O

  • Optical solitons Extended hyperbolic function method for the model having cubic-quintic-septimal nonlinearity in weak nonlocal media [Volume 13, Issue 1, 2025, Pages 271-281]
  • Option pricing Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • Ordinary differential equations Solving initial value problems using multilayer perceptron artificial neural networks [Volume 13, Issue 1, 2025, Pages 13-24]

P

  • Parameters Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach (R1) [Volume 13, Issue 1, 2025, Pages 123-141]
  • Picard’s iteration method A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Positive solution q-Exponential fixed point theorem for mixed monotone operator with q-fractional problem [Volume 13, Issue 1, 2025, Pages 73-94]
  • Prey-predator model Hopf bifurcation and Turing instability in a cross-diffusion prey-predator system with group defense behavior [Volume 13, Issue 1, 2025, Pages 294-306]

Q

  • Quasilinearization method A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Quasilinearization method An efficient high-order compact finite difference scheme for Lane-Emden-type equations [Volume 13, Issue 1, 2025, Pages 107-122]

R

  • Radial basis functions A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]
  • Reproductive ratio Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach (R1) [Volume 13, Issue 1, 2025, Pages 123-141]
  • Riesz derivative A method of lines for solving the nonlinear time- and space-fractional Schrödinger equation via stable Gaussian radial basis function interpolation [Volume 13, Issue 1, 2025, Pages 41-60]

S

  • Sequencing with one machine A Hierarchical method to solve one machine multicriteria sequencing problem [Volume 13, Issue 1, 2025, Pages 327-338]
  • Shifted Grünwald approximation A unified Explicit form for difference formulas for fractional and classical derivatives and applications [Volume 13, Issue 1, 2025, Pages 307-326]
  • Simulation Analysis of the effect of isolation on the transmission dynamics of COVID-19: a mathematical modelling approach (R1) [Volume 13, Issue 1, 2025, Pages 123-141]
  • Solitons and periodic structures Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Stochastic interest rate Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • Stochastic volatility Alternating direction implicit method for approximation solution of the HCIR model, including transaction costs in a Jump-Diffusion model [Volume 13, Issue 1, 2025, Pages 339-356]
  • Symmetries Symmetries of the minimal lagrangian hypersurfaces on cylindrically symmetric static space-times [Volume 13, Issue 1, 2025, Pages 249-257]

T

  • Technologtcal intelligence The use of technological intelligence model in solving terrorism dynamics: a case study of Nigeria [Volume 13, Issue 1, 2025, Pages 201-213]
  • Terrorism and Dynamics The use of technological intelligence model in solving terrorism dynamics: a case study of Nigeria [Volume 13, Issue 1, 2025, Pages 201-213]
  • Theorem of convergence Solving a class of Volterra integral equations with M-derivative [Volume 13, Issue 1, 2025, Pages 282-293]
  • Thermal diffusivity Finite-difference method for Hygrothermoelastic boundary value problem [Volume 13, Issue 1, 2025, Pages 157-168]
  • Three-point boundary value problem A Green’s function-based computationally efficient approach for solving a kind of nonlocal BVPs [Volume 13, Issue 1, 2025, Pages 25-40]
  • Traveling wave solution Soliton solutions to the DS and generalized DS system via an analytical method [Volume 13, Issue 1, 2025, Pages 233-248]
  • Traveling wave solution On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method [Volume 13, Issue 1, 2025, Pages 258-270]
  • Tumor-immune interaction Convergence analysis for piecewise Lagrange interpolation method of fractal fractional model of tumor-immune interaction with two different kernels [Volume 13, Issue 1, 2025, Pages 169-182]
  • Turing instability Hopf bifurcation and Turing instability in a cross-diffusion prey-predator system with group defense behavior [Volume 13, Issue 1, 2025, Pages 294-306]

Z

  • Zakharov-Kuznetsov Application of a new method for nonlinear partial differential equations of fractional order arising in fluid mechanics [Volume 13, Issue 1, 2025, Pages 1-12]
  • Zakharov–Kuznetsov equation On analytical solutions of the ZK equation and related equations by using the generalized ( G′/G )-expansion method [Volume 13, Issue 1, 2025, Pages 258-270]