A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
type: Item
instance of: scholarly article
title: A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
zbMATH Open document ID: 1378.65161
author: Pu Zhang
author: Hai Pu
published in: Numerical Algorithms
publication date: 2017-11-17T00:00:00Z
review text: The authors develop a compact difference scheme for the fourth-order fractional sub-diffusion equation. The approach combines the formula to approximate the time Caputo fractional derivative together with compact operator techniques to approximate the spatial fourth-order derivative. The authors deduce the unconditional stability and convergence of the numerical scheme by discrete energy methods. Numerical experiments are also presented in order to support the theoretical findings.
reviewed by: Marius Ghergu
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6808530
zbMATH Keywords: fourth-order fractional sub-diffusion equation
zbMATH Keywords: compact difference scheme
zbMATH Keywords: \(L2-1_{\sigma}\) formula
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiment
MaRDI profile type: Publication
full work available at URL: s11075-017-0271-7
OpenAlex ID: W2582729665
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DOI: 10.1007/S11075-017-0271-7
description: scientific article; zbMATH DE number 6808530