Error estimate of finite element approximation for two-sided space-fractional evolution equation with variable coefficient
type: Item
instance of: scholarly article
title: Error estimate of finite element approximation for two-sided space-fractional evolution equation with variable coefficient
author: Huan Liu
author: Xiangcheng Zheng
author: Hongfei Fu
author: Hong Wang
published in: Journal of Scientific Computing
publication date: 2021-11-29T00:00:00Z
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 35Rxx
Mathematics Subject Classification ID: 65Nxx
zbMATH DE Number: 7435359
zbMATH Keywords: space-fractional diffusion equation
zbMATH Keywords: variable-coefficient
zbMATH Keywords: finite element method
zbMATH Keywords: optimal-order error estimate
zbMATH Keywords: regularity
describes a project that uses: FODE
MaRDI profile type: Publication
full work available at URL: s10915-021-01698-3
OpenAlex ID: W3215662822
cites work: Q5318420
cites work: Q3568481
cites work: An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations
cites work: Q3236921
cites work: Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Variational formulation for the stationary fractional advection dispersion equation
cites work: Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces
cites work: Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
cites work: Regularity of the solution to 1-D fractional order diffusion equations
cites work: A finite volume method for two-dimensional Riemann-Liouville space-fractional diffusion equation and its efficient implementation
cites work: Optimal Regularity and Error Estimates of a Spectral Galerkin Method for Fractional Advection-Diffusion-Reaction Equations
cites work: Finite element method for two-sided fractional differential equations with variable coefficients: Galerkin approach
cites work: A fast method for variable-order space-fractional diffusion equations
cites work: Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
cites work: Spectral approximations to the fractional integral and derivative
cites work: Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data
cites work: Finite difference/spectral approximations for the time-fractional diffusion equation
cites work: A new fractional finite volume method for solving the fractional diffusion equation
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: A parareal finite volume method for variable-order time-fractional diffusion equations
cites work: A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations
cites work: Spectral element method with geometric mesh for two-sided fractional differential equations
cites work: Stochastic models for fractional calculus
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: Hitchhiker's guide to the fractional Sobolev spaces
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: Q3141895
cites work: Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
cites work: A new collection of real world applications of fractional calculus in science and engineering
cites work: A space fractional constitutive equation model for non-Newtonian fluid flow
cites work: Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains
cites work: Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains
cites work: Wellposedness of variable-coefficient conservative fractional elliptic differential equations
cites work: A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations
cites work: Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations
cites work: Least-squared mixed variational formulation based on space decomposition for a kind of variable-coefficient fractional diffusion problems
cites work: Multiplicative Noise Removal for Texture Images Based on Adaptive Anisotropic Fractional Diffusion Equations
cites work: Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions
cites work: Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions
cites work: Fractional Spectral Collocation Method
cites work: An indirect finite element method for variable-coefficient space-fractional diffusion equations and its optimal-order error estimates
cites work: Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data
cites work: Wellposedness of the two-sided variable coefficient Caputo flux fractional diffusion equation and error estimate of its spectral approximation
cites work: Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval
DOI: 10.1007/S10915-021-01698-3
description: scientific article; zbMATH DE number 7435359