Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology
type: Item
instance of: scholarly article
title: Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology
zbMATH Open document ID: 1504.35611
author: Manal Alqhtani
author: Kolade M. Owolabi
author: Khaled M. Saad
author: Edson Pindza
published in: Chaos, Solitons and Fractals
publication date: 2023-01-12T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7641376
zbMATH Keywords: Riesz operator
zbMATH Keywords: subdiffusion
zbMATH Keywords: superdiffusion
MaRDI profile type: Publication
full work available at URL: j.chaos.2022.112394
OpenAlex ID: W4285040552
cites work: Modelling the transmission dynamics of lassa fever with nonlinear incidence rate and vertical transmission
cites work: Spatiotemporal (target) patterns in sub-diffusive predator-prey system with the Caputo operator
cites work: Q3461764
cites work: New numerical approach for fractional differential equations
cites work: A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
cites work: Consistency problem of the solutions of the space fractional Schrödinger equation
cites work: Fourier spectral methods for fractional-in-space reaction-diffusion equations
cites work: On Riesz derivative
cites work: Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
cites work: A note on fractional diffusion equations
cites work: High-order algorithms for Riesz derivative and their applications. I.
cites work: Q2741107
cites work: Q3076839
cites work: General solutions to a class of time fractional partial differential equations
cites work: Analytical and numerical solutions of mathematical biology models: The Newell‐Whitehead‐Segel and Allen‐Cahn equations
cites work: Fourth-Order Time-Stepping for Stiff PDEs
cites work: Q5699297
cites work: Ten equivalent definitions of the fractional Laplace operator
cites work: Fractional differentiation matrices with applications
cites work: Time fractional advection-dispersion equation
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: ANALYSIS OF THE TIME FRACTIONAL NONLINEAR DIFFUSION EQUATION FROM DIFFUSION PROCESS
cites work: Q5190149
cites work: Q4740120
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: Q3864730
cites work: Riesz potential operators and inverses via fractional centred derivatives
cites work: Two‐sided and regularised Riesz‐Feller derivatives
cites work: Mathematical analysis and numerical simulation of patterns in fractional and classical reaction-diffusion systems
cites work: Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order
cites work: High-order solvers for space-fractional differential equations with Riesz derivative
cites work: High-dimensional spatial patterns in fractional reaction-diffusion system arising in biology
cites work: Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator
cites work: Computational analysis of different pseudoplatystoma species patterns the Caputo-Fabrizio derivative
cites work: The Numerical Solution of Parabolic and Elliptic Differential Equations
cites work: Fourier spectral method for higher order space fractional reaction-diffusion equations
cites work: Q4233638
cites work: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: An approximate analytical view of physical and biological models in the setting of Caputo operator via Elzaki transform decomposition method
cites work: Fractional kinetic equations: solutions and applications
cites work: Q3141895
cites work: A second-order accurate numerical method for the two-dimensional fractional diffusion equation
cites work: A class of second order difference approximations for solving space fractional diffusion equations
cites work: Q4438488
cites work: Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
cites work: Chaos, fractional kinetics, and anomalous transport
cites work: Q3610096
cites work: Galerkin finite element approximation of symmetric space-fractional partial differential equations
DOI: 10.1016/J.CHAOS.2022.112394
description: scientific article; zbMATH DE number 7641376