Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media
type: Item
instance of: scholarly article
title: Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media
zbMATH Open document ID: 1473.65233
author: B. Farnam
author: Y. Esmaeelzade Aghdam
author: Omid Nikan
published in: Mathematical Sciences
publication date: 2021-07-15T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 60J60
zbMATH DE Number: 7372215
zbMATH Keywords: two-dimensional space-time diffusion equation
zbMATH Keywords: Chebyshev spectral collocation
zbMATH Keywords: stability
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s40096-020-00364-3
OpenAlex ID: W3119399297
cites work: Q3141902
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Q3141895
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Error estimate of the MQ-RBF collocation method for fractional differential equations with Caputo-Fabrizio derivative
cites work: Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics
cites work: A Legendre spectral quadrature tau method for the multi-term time-fractional diffusion equations
cites work: Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments
cites work: On the numerical solutions for the fractional diffusion equation
cites work: Q5015024
cites work: The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation
cites work: A time-space collocation spectral approximation for a class of time fractional differential equations
cites work: Fractional Spectral Collocation Method
cites work: A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
cites work: A second-order accurate numerical method for the two-dimensional fractional diffusion equation
cites work: Implicit difference approximation for the two-dimensional space-time fractional diffusion equation
cites work: An Implicit Difference-ADI Method for the Two-dimensional Space-time Fractional Diffusion Equation
cites work: Convergence analysis of the space fractional-order diffusion equation based on the compact finite difference scheme
cites work: Comparative study of three numerical schemes for fractional integro-differential equations
cites work: Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
DOI: 10.1007/S40096-020-00364-3
Recommended article: Q4690815
Recommended article: Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
Recommended article: Numerical Method for the Time-Fractional Porous Medium Equation
Recommended article: A novel numerical manner for two‐dimensional space fractional diffusion equation arising in transport phenomena
Recommended article: Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media
Recommended article: The Numerical Solutions of a Two-Dimensional Space-Time Riesz-Caputo Fractional Diffusion Equation
Recommended article: Theory and simulation of time-fractional fluid diffusion in porous media
Recommended article: Analysis and mean-field derivation of a porous-medium equation with fractional diffusion
Recommended article: The Numerical Simulation of Space-Time Variable Fractional Order Diffusion Equation
description: scientific article; zbMATH DE number 7372215