An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
type: Item
instance of: scholarly article
title: An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
zbMATH Open document ID: 1402.65124
author: Shimin Guo
author: Liquan Mei
author: Ying Li
publication date: 2018-08-30T00:00:00Z
review text: The authors analyze a numerical scheme approximating a two-dimensional fractional nonlinear reaction-diffusion-wave equation. The model considered includes for instance time-fractional Klein-Gordon and sine-Gordon equations. The space discretization is performed using the Legendre-Galerkin spectral methods whereas an alternating direction implicit (ADI) method based on the Crank-Nicolson scheme is used in time. Stability and convergence of the proposed scheme are provided. Some numerical examples are presented.
reviewed by: Abdallah Bradji
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 6929642
zbMATH Keywords: nonlinear fractional differential equation
zbMATH Keywords: alternating direction implicit method
zbMATH Keywords: Legendre-Galerkin spectral method
zbMATH Keywords: convergence
describes a project that uses: FODE
MaRDI profile type: Publication
full work available at URL: j.camwa.2017.07.022
OpenAlex ID: W2740782266
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DOI: 10.1016/J.CAMWA.2017.07.022
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6929642