A generalization of trigonometric transform splitting methods for spatial fractional diffusion equations
type: Item
instance of: scholarly article
title: A generalization of trigonometric transform splitting methods for spatial fractional diffusion equations
zbMATH Open document ID: 1443.65140
author: Zhen-Duo Zhang
author: Xinhui Shao
author: Hailong Shen
publication date: 2020-10-07T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7256692
zbMATH Keywords: spatial fractional diffusion equation
zbMATH Keywords: Toeplitz linear system
zbMATH Keywords: two parameters
zbMATH Keywords: trigonometric transformation splitting
describes a project that uses: ma2dfc
describes a project that uses: FODE
MaRDI profile type: Publication
full work available at URL: j.camwa.2019.10.003
OpenAlex ID: W2991652147
cites work: Q3141895
cites work: Q4250595
cites work: Fractional Poisson processes and their representation by infinite systems of ordinary differential equations
cites work: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: The fundamental solution and numerical solution of the Riesz fractional advection-dispersion equation
cites work: A compact finite difference scheme for the fractional sub-diffusion equations
cites work: Numerical methods and analysis for a class of fractional advection-dispersion models
cites work: Numerical solutions for fractional reaction-diffusion equations
cites work: Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
cites work: A second-order accurate numerical approximation for the fractional diffusion equation
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
cites work: A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
cites work: An \(O(N \log ^{2}N)\) alternating-direction finite difference method for two-dimensional fractional diffusion equations
cites work: A circulant preconditioner for fractional diffusion equations
cites work: Preconditioning Techniques for Diagonal-times-Toeplitz Matrices in Fractional Diffusion Equations
cites work: Preconditioned iterative methods for fractional diffusion equation
cites work: Q5689624
cites work: Preconditioning
cites work: Diagonal and Toeplitz splitting iteration methods for diagonal-plus-Toeplitz linear systems from spatial fractional diffusion equations
cites work: Trigonometric transform splitting methods for real symmetric Toeplitz systems
cites work: Representations of Toeplitz-plus-Hankel martrices using trigonometric transformations with application to fast matrix-vector multiplication
cites work: Iterative methods for ill-conditioned Toeplitz matrices
cites work: Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems
DOI: 10.1016/J.CAMWA.2019.10.003
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7256692