A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region
type: Item
instance of: scholarly article
title: A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region
author: Peng Zhang
published in: Applied Numerical Mathematics
publication date: 2018-09-07T00:00:00Z
full work available at URL: A fast numerical method for two-dimensional Riesz.pdf
Mathematics Subject Classification ID: 65-XX
zbMATH DE Number: 6933818
zbMATH Keywords: fractional diffusion equation
zbMATH Keywords: Riesz space fractional derivative
zbMATH Keywords: Fitzhugh-Nagumo model
zbMATH Keywords: on a convex bounded region
zbMATH Keywords: preconditioned conjugate gradient method
zbMATH Keywords: circulant preconditioner
MaRDI profile type: Publication
OpenAlex ID: W2883887852
cites work: Finite Element Approximations in a NonLipschitz Domain
cites work: New applications of fractional variational principles
cites work: Numerical approximation of fractional powers of elliptic operators
cites work: Fourier spectral methods for fractional-in-space reaction-diffusion equations
cites work: Conjugate Gradient Methods for Toeplitz Systems
cites work: An implicit numerical method for the two-dimensional fractional percolation equation
cites work: Variational formulation for the stationary fractional advection dispersion equation
cites work: Methods of conjugate gradients for solving linear systems
cites work: A simple finite element method for boundary value problems with a Riemann-Liouville derivative
cites work: A circulant preconditioner for fractional diffusion equations
cites work: Numerical solution of the space fractional Fokker-Planck equation.
cites work: Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
cites work: Numerical methods and analysis for a class of fractional advection-dispersion models
cites work: Numerical methods for solving the multi-term time-fractional wave-diffusion equation
cites work: A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain
cites work: REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
cites work: Finite difference approximations for fractional advection-dispersion flow equations
cites work: Finite difference approximations for two-sided space-fractional partial differential equations
cites work: Finite difference methods for two-dimensional fractional dispersion equation
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: A PDE approach to space-time fractional parabolic problems
cites work: Fast Fourier transform and convolution algorithms
cites work: Q4233638
cites work: Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives
cites work: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
cites work: A Proposal for Toeplitz Matrix Calculations
cites work: A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations
cites work: A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations
cites work: A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
cites work: Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
Wikidata QID: Q129520587
DOI: 10.1016/J.APNUM.2018.07.007
description: scientific article; zbMATH DE number 6933818