Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions
type: Item
instance of: scholarly article
title: Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions
zbMATH Open document ID: 1484.65191
author: Changping Xie
author: Shaomei Fang
published in: Applied Numerical Mathematics
publication date: 2022-04-01T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7501616
zbMATH Keywords: fractional diffusion equation
zbMATH Keywords: fractional boundary conditions
zbMATH Keywords: Riesz fractional derivative
zbMATH Keywords: Crank-Nicholson method
zbMATH Keywords: shifted Grünwald-Letnikov operator
MaRDI profile type: Publication
full work available at URL: j.apnum.2022.01.008
OpenAlex ID: W4210318919
cites work: Boundary conditions for fractional diffusion
cites work: Reprint of: boundary conditions for fractional diffusion
cites work: Reflected spectrally negative stable processes and their governing equations
cites work: Fractional partial differential equations with boundary conditions
cites work: Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
cites work: A fractional diffusion equation to describe Lévy flights
cites work: Fractional diffusion on bounded domains
cites work: High-order algorithms for Riesz derivative and their applications. II
cites work: A comparative study on nonlocal diffusion operators related to the fractional Laplacian
cites work: Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces
cites work: Mathematical modeling of anomalous diffusion in porous media
cites work: Fast finite difference methods for space-fractional diffusion equations with fractional derivative boundary conditions
cites work: Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation
cites work: Boundary conditions for two-sided fractional diffusion
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Q3141902
cites work: Q4233638
cites work: Fractional kinetic equations: solutions and applications
cites work: The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
cites work: A class of second order difference approximations for solving space fractional diffusion equations
cites work: Wellposedness of Neumann boundary-value problems of space-fractional differential equations
cites work: A Spectral Penalty Method for Two-Sided Fractional Differential Equations with General Boundary Conditions
cites work: A second‐order finite difference method for fractional diffusion equation with Dirichlet and fractional boundary conditions
cites work: Finite difference scheme for time‐space fractional diffusion equation with fractional boundary conditions
cites work: Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
cites work: An advanced numerical modeling for Riesz space fractional advection-dispersion equations by a meshfree approach
cites work: Chaos, fractional kinetics, and anomalous transport
cites work: Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations
cites work: Galerkin finite element approximation of symmetric space-fractional partial differential equations
cites work: Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval
cites work: Quasi-compact finite difference schemes for space fractional diffusion equations
DOI: 10.1016/J.APNUM.2022.01.008
description: scientific article