Finite difference approach for variable order reaction-subdiffusion equations
type: Item
instance of: scholarly article
title: Finite difference approach for variable order reaction-subdiffusion equations
zbMATH Open document ID: 1448.65199
author: Erdal Karapınar
published in: Advances in Difference Equations
publication date: 2019-02-04T00:00:00Z
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7011471
zbMATH Keywords: weighted average finite difference approximations
zbMATH Keywords: variable order linear and nonlinear reaction-subdiffusion equation
zbMATH Keywords: stability analysis
zbMATH Keywords: numerical example
MaRDI profile type: Publication
full work available at URL: s13662-018-1862-x
OpenAlex ID: W2899673414
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: Generalized Lucas polynomial sequence approach for fractional differential equations
cites work: Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems
cites work: A center box method for radially symmetric solution of fractional subdiffusion equation
cites work: Numerical solution of the time fractional reaction-diffusion equation with a moving boundary
cites work: Numerical studies for a multi-order fractional differential equation
cites work: Introducing an efficient modification of the homotopy perturbation method by using Chebyshev polynomials
cites work: Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition method
cites work: Homotopy analysis method for fractional IVPs
cites work: Numerical solutions of fractional wave equations using an efficient class of FDM based on the Hermite formula
cites work: On the stability analysis of weighted average finite difference methods for fractional wave equation
cites work: Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
cites work: Numerical simulation for the variable-order Galilei invariant advection diffusion equation with a nonlinear source term
cites work: Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
cites work: Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
cites work: Q4941491
cites work: Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
cites work: Implicit difference approximation for the time fractional diffusion equation
cites work: New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
cites work: Q4315885
cites work: Discretized Fractional Calculus
cites work: An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
cites work: Q3996742
cites work: A Fourier method for the fractional diffusion equation describing sub-diffusion
cites work: Numerical approximation for a variable-order nonlinear reaction-subdiffusion equation
Wikidata QID: Q128983821
DOI: 10.1186/S13662-018-1862-X
description: scientific article; zbMATH DE number 7011471