Fourth order finite difference schemes for time-space fractional sub-diffusion equations
type: Item
instance of: scholarly article
title: Fourth order finite difference schemes for time-space fractional sub-diffusion equations
zbMATH Open document ID: 1443.65136
author: Hong-Kui Pang
author: Hai-Wei Sun
publication date: 2020-10-11T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7258807
zbMATH Keywords: time-space fractional sub-diffusion equations
zbMATH Keywords: fractional derivative
zbMATH Keywords: fourth order finite-difference approximation
zbMATH Keywords: \(L1\) approximation
zbMATH Keywords: stability
zbMATH Keywords: convergence
describes a project that uses: FODE
MaRDI profile type: Publication
full work available at URL: j.camwa.2016.02.011
OpenAlex ID: W2285270574
cites work: Applications of fractional calculus in physics
cites work: Waiting-times and returns in high-frequency financial data: An empirical study
cites work: Superlinearly convergent algorithms for the two-dimensional space-time Caputo-Riesz fractional diffusion equation
cites work: On the numerical solution of space-time fractional diffusion models
cites work: Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
cites work: Q4233638
cites work: Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
cites work: Finite difference approximations for the fractional Fokker-Planck equation
cites work: A compact finite difference scheme for the fractional sub-diffusion equations
cites work: Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence
cites work: A circulant preconditioner for fractional diffusion equations
cites work: A Space-Time Spectral Method for the Time Fractional Diffusion Equation
cites work: Stability and convergence of the difference methods for the space-time fractional advection-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: Multigrid method for fractional diffusion equations
cites work: Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation
cites work: A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation
cites work: A second-order accurate numerical approximation for the fractional diffusion equation
cites work: A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
cites work: Finite difference methods for two-dimensional fractional dispersion equation
cites work: A second-order accurate numerical method for the two-dimensional fractional diffusion equation
cites work: Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations
cites work: A class of second order difference approximations for solving space fractional diffusion equations
cites work: Quasi-compact finite difference schemes for space fractional diffusion equations
cites work: A fourth-order approximation of fractional derivatives with its applications
cites work: The accuracy and stability of an implicit solution method for the fractional diffusion equation
cites work: Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
cites work: Compact finite difference method for the fractional diffusion equation
cites work: Compact alternating direction implicit method for two-dimensional time fractional diffusion equation
cites work: Alternating direction implicit schemes for the two-dimensional fractional sub-diffusion equation
cites work: Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation
cites work: Finite Element Method for the Space and Time Fractional Fokker–Planck Equation
cites work: A Chebyshev PseudoSpectral Method to Solve the Space-Time Tempered Fractional Diffusion Equation
cites work: The space-time fractional diffusion equation with Caputo derivatives
cites work: Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain
cites work: Stochastic solution of space-time fractional diffusion equations
cites work: Fractional difference/finite element approximations for the time-space fractional telegraph equation
cites work: Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
cites work: A fully discrete difference scheme for a diffusion-wave system
cites work: A new difference scheme for the time fractional diffusion equation
cites work: Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
DOI: 10.1016/J.CAMWA.2016.02.011
published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 7258807