A Galerkin finite element method for numerical solutions of the modified regularized long wave equation
type: Item
instance of: scholarly article
title: A Galerkin finite element method for numerical solutions of the modified regularized long wave equation
zbMATH Open document ID: 1470.74063
DOI: 10.1155/2014/438289
author: Liquan Mei
author: Yali Gao
author: Zhangxin Chen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A Galerkin method for a modified regularized long wave equation is studied using finite elements in space, the Crank-Nicolson scheme, and the Runge-Kutta scheme in time. In addition, an extrapolation technique is used to transform a nonlinear system into a linear system in order to improve the time accuracy of this method. A Fourier stability analysis for the method is shown to be marginally stable. Three invariants of motion are investigated. Numerical experiments are presented to check the theoretical study of this method.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35L75
zbMATH DE Number: 7022395
Wikidata QID: Q59038266
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/438289
OpenAlex ID: W2145655843
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description: scientific article; zbMATH DE number 7022395