Generalized finite difference method for a class of multidimensional space-fractional diffusion equations
type: Item
instance of: scholarly article
title: Generalized finite difference method for a class of multidimensional space-fractional diffusion equations
author: Zhaoyang Wang
author: Jiayi Nie
author: Yong Zhang
author: Rui Xiao
author: HongGuang Sun
published in: Computational Mechanics
publication date: 2021-06-17T00:00:00Z
Mathematics Subject Classification ID: 74-XX
zbMATH DE Number: 7360491
zbMATH Keywords: space fractional diffusion equations
zbMATH Keywords: generalized finite difference method
zbMATH Keywords: local meshless method
zbMATH Keywords: moving least-square approximation
MaRDI profile type: Publication
full work available at URL: s00466-020-01917-y
OpenAlex ID: W3085609715
Wikidata QID: Q113326836
cites work: Q4401917
cites work: Fractional diffusion: probability distributions and random walk models
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: Space-fractional advection-dispersion equations by the Kansa method
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: Anomalous diffusion modeling by fractal and fractional derivatives
cites work: A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations
cites work: A semi-discrete finite element method for a class of time-fractional diffusion equations
cites work: Multidimensional solutions of time-fractional diffusion-wave equations
cites work: FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION
cites work: Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
cites work: Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation
cites work: Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation
cites work: Finite difference approximations for the fractional advection-diffusion equation
cites work: Connecting complexity with spectral entropy using the Laplace transformed solution to the fractional diffusion equation
cites work: Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative
cites work: Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations
cites work: Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Modelling heat transfer in heterogeneous media using fractional calculus
cites work: Finite difference methods for two-dimensional fractional dispersion equation
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Alternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equation
cites work: A note on the finite element method for the space-fractional advection diffusion equation
cites work: An enriched finite element method to fractional advection-diffusion equation
cites work: A Petrov-Galerkin finite element method for the fractional advection-diffusion equation
cites work: High-order central difference scheme for Caputo fractional derivative
cites work: Wavelets method for solving fractional optimal control problems
cites work: Enriched reproducing kernel particle method for fractional advection-diffusion equation
cites work: The quasi-boundary value method for identifying the initial value of the space-time fractional diffusion equation
cites work: A fast second-order finite difference method for space-fractional diffusion equations
cites work: Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography
cites work: A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation
cites work: Solving parabolic and hyperbolic equations by the generalized finite difference method
cites work: Influence of several factors in the generalized finite difference method
cites work: Improvements of generalized finite difference method and comparison with other meshless method
cites work: Application of the generalized finite difference method to solve the advection-diffusion equation
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
cites work: A high accuracy method for long-time evolution of acoustic wave equation
cites work: Generalized finite difference method for solving two-dimensional inverse Cauchy problems
cites work: An \(h\)-adaptive method in the generalized finite differences
cites work: Influence graphs and the generalized finite difference method
cites work: A scale-dependent finite difference approximation for time fractional differential equation
cites work: A note on the Poincaré inequality for convex domains
cites work: FDM for fractional parabolic equations with the Neumann condition
DOI: 10.1007/S00466-020-01917-Y
description: scientific article; zbMATH DE number 7360491