Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations
type: Item
instance of: scholarly article
title: Finite volume approximation with ADI scheme and low-rank solver for high dimensional spatial distributed-order fractional diffusion equations
author: Lot-Kei Chou
author: Siu-Long Lei
publication date: 2021-04-21T00:00:00Z
Mathematics Subject Classification ID: 65Mxx
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 15B05
zbMATH DE Number: 7336186
zbMATH Keywords: high dimensional
zbMATH Keywords: distributed-order
zbMATH Keywords: finite volume approximation
zbMATH Keywords: alternating direction implicit scheme
zbMATH Keywords: tensor-train format
describes a project that uses: Algorithm 862
MaRDI profile type: Publication
full work available at URL: j.camwa.2021.02.014
OpenAlex ID: W3136826919
cites work: Fractals and fractional calculus in continuum mechanics
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Q4438544
cites work: On a distributed derivative model of a viscoelastic body
cites work: Some aspects of fractional diffusion equations of single and distributed order
cites work: Distributed-order fractional diffusions on bounded domains
cites work: A numerical investigation of the time distributed-order diffusion model
cites work: A fast finite difference method for distributed-order space-fractional partial differential equations on convex domains
cites work: Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations
cites work: A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain
cites work: A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation
cites work: Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation
cites work: Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations
cites work: An efficient finite volume method for nonlinear distributed-order space-fractional diffusion equations in three space dimensions
cites work: Tensor-train format solution with preconditioned iterative method for high dimensional time-dependent space-fractional diffusion equations with error analysis
cites work: Tensor-Train Decomposition
cites work: Finite difference methods for two-dimensional fractional dispersion equation
cites work: Boundary Problems for the Fractional and Tempered Fractional Operators
cites work: Stability and convergence of a Crank-Nicolson finite volume method for space fractional diffusion equations
cites work: A Multilinear Singular Value Decomposition
cites work: Algorithm 862
cites work: Tensor Decompositions and Applications
cites work: Spectral Analysis and Multigrid Methods for Finite Volume Approximations of Space-Fractional Diffusion Equations
cites work: Fast preconditioned iterative methods for finite volume discretization of steady-state space-fractional diffusion equations
cites work: Q5820721
cites work: An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions
DOI: 10.1016/J.CAMWA.2021.02.014
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7336186