Numerical method for solving two‐dimensional of the space and space–time fractional coupled reaction‐diffusion equations (Q6180843)

scientific article; zbMATH DE number 7782152

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English	Numerical method for solving two‐dimensional of the space and space–time fractional coupled reaction‐diffusion equations	scientific article; zbMATH DE number 7782152

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instance of

scholarly article

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title

Numerical method for solving two‐dimensional of the space and space–time fractional coupled reaction‐diffusion equations (English)

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author

Adel R. Hadhoud

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Abdulqawi A. M. Rageh

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Praveen Agarwal

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published in

Mathematical Methods in the Applied Sciences

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publication date

2 January 2024

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zbMATH Keywords

Caputo derivative

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fractional differential equations

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Gauss-Lobatto quadrature

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shifted Legendre polynomials

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space-time fractional coupled reaction-diffusion equations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.8891

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cites work

Q5699297

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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An effective pure meshfree method for 1D/2D time fractional convection-diffusion problems on irregular geometry

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A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations

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Finite element analysis for coupled time-fractional nonlinear diffusion system

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Novel patterns in a class of fractional reaction-diffusion models with the Riesz fractional derivative

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Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations

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An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law

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\(\alpha\)-robust \(H^1\)-norm convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation

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An efficient spectral-Galerkin method for fractional reaction-diffusion equations in unbounded domains

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Asymptotic stability conditions for autonomous time-fractional reaction-diffusion systems

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Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations

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A new Legendre collocation method for solving a two-dimensional fractional diffusion equation

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Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation

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The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation

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Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods

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Linearly implicit predictor-corrector methods for space-fractional reaction-diffusion equations with non-smooth initial data

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Numerical solution of two-dimensional fractional-order reaction advection sub-diffusion equation with finite-difference Fibonacci collocation method

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Numerical solutions for fractional reaction-diffusion equations

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A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations

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A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations

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A high-order numerical scheme for solving nonlinear time fractional reaction-diffusion equations with initial singularity

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An efficient Chebyshev-tau method for solving the space fractional diffusion equations

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Numerical simulations of chaotic and complex spatiotemporal patterns in fractional reaction-diffusion systems

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Reproducing kernel particle method for two-dimensional time-space fractional diffusion equations in irregular domains

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Shifted Legendre polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model

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Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem

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Non-polynomial B-spline and shifted Jacobi spectral collocation techniques to solve time-fractional nonlinear coupled Burgers' equations numerically

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Numerical solution of multiterm variable‐order fractional differential equations via shifted Legendre polynomials

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Shifted Jacobi collocation method for solving multi-dimensional fractional Stokes' first problem for a heated generalized second grade fluid

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6180843