The finite difference/finite volume method for solving the fractional diffusion equation
type: Item
instance of: scholarly article
title: The finite difference/finite volume method for solving the fractional diffusion equation
zbMATH Open document ID: 1416.65301
author: Tie Zhang
author: Qingxin Guo
published in: Journal of Computational Physics
publication date: 2019-07-11T00:00:00Z
Mathematics Subject Classification ID: 65M08
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 7079488
zbMATH Keywords: fractional parabolic equation
zbMATH Keywords: finite volume method
zbMATH Keywords: unconditional stability
zbMATH Keywords: optimal error estimate
describes a project that uses: FODE
MaRDI profile type: Publication
full work available at URL: j.jcp.2018.08.033
OpenAlex ID: W2889335766
cites work: High-order accurate local schemes for fractional differential equations
cites work: An introduction to fractional calculus
cites work: A Fourier method for the fractional diffusion equation describing sub-diffusion
cites work: A note on the optimal \(L^2\)-estimate of the finite volume element method
cites work: Recent applications of fractional calculus to science and engineering
cites work: Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
cites work: On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
cites work: A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
cites work: A fast finite volume method for conservative space-fractional diffusion equations in convex domains
cites work: Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
cites work: Finite volume element method for two-dimensional fractional subdiffusion problems
cites work: Q5699297
cites work: Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
cites work: Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
cites work: Q4936091
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: Finite element approximation for a modified anomalous subdiffusion equation
cites work: Q4233638
cites work: Superconvergence of finite element approximations for the fractional diffusion-wave equation
cites work: Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
cites work: A fully discrete difference scheme for a diffusion-wave system
cites work: Weighted average finite difference methods for fractional diffusion equations
cites work: Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations
cites work: Two mixed finite element methods for time-fractional diffusion equations
cites work: Superconvergence of finite volume element method for elliptic problems
Wikidata QID: Q129336313
DOI: 10.1016/J.JCP.2018.08.033
description: scientific article; zbMATH DE number 7079488