Numerical solution of nonstationary problems for a space-fractional diffusion equation
type: Item
instance of: scholarly article
title: Numerical solution of nonstationary problems for a space-fractional diffusion equation
zbMATH Open document ID: 1382.65330
publication date: 2016-03-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1412.5706
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6559706
zbMATH Keywords: fractional partial differential equations
zbMATH Keywords: elliptic operator
zbMATH Keywords: fractional power of an operator
zbMATH Keywords: two-level difference scheme
author: P. N. Vabishchevich
describes a project that uses: mftoolbox
MaRDI profile type: Publication
OpenAlex ID: W2963245806
Wikidata QID: Q57694504
arXiv ID: 1412.5706
cites work: Q3006513
cites work: Numerical Methods in Matrix Computations
cites work: Numerical approximation of fractional powers of elliptic operators
cites work: The Mathematical Theory of Finite Element Methods
cites work: Fourier spectral methods for fractional-in-space reaction-diffusion equations
cites work: An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
cites work: An implicit numerical method for the two-dimensional fractional percolation equation
cites work: Numerical investigation of a space-fractional model of turbulent fluid flow in rectangular ducts
cites work: Nonlocal Continuum Field Theories
cites work: Young's inequality for positive operators
cites work: Q5185900
cites work: Functions of Matrices
cites work: Q3421758
cites work: Q5440446
cites work: A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation
cites work: Error Analysis of a Finite Element Method for the Space-Fractional Parabolic Equation
cites work: Q5699297
cites work: Q4497728
cites work: Q4890329
cites work: Computational aspects of FEM approximation of fractional advection dispersion equations on bounded domains in \(\mathbb R^2\)
cites work: Q4528992
cites work: Q4797355
cites work: The space-fractional diffusion-advection equation: analytical solutions and critical assessment of numerical solutions
cites work: A second-order accurate numerical method for the two-dimensional fractional diffusion equation
cites work: A second-order accurate numerical approximation for the fractional diffusion equation
cites work: Galerkin Finite Element Methods for Parabolic Problems
cites work: Additive operator-difference schemes. Splitting schemes
cites work: Numerically solving an equation for fractional powers of elliptic operators
cites work: Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
cites work: Abstract Parabolic Evolution Equations and their Applications
cites work: Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
DOI: 10.1515/FCA-2016-0007
published in: Fractional Calculus \ Applied Analysis
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description: scientific article