A fourth-order conservative compact finite difference scheme for the generalized RLW equation
type: Item
instance of: scholarly article
title: A fourth-order conservative compact finite difference scheme for the generalized RLW equation
zbMATH Open document ID: 1394.65075
DOI: 10.1155/2015/960602
author: Shu-Guang Li
author: Jue Wang
author: Yuesheng Luo
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The generalized regularized long-wave (GRLW) equation is studied by finite difference method. A new fourth-order energy conservative compact finite difference scheme was proposed. It is proved by the discrete energy method that the compact scheme is solvable, the convergence and stability of the difference schemes are obtained, and its numerical convergence order is \(O(\tau^2 + h^4)\) in the \(L^{\infty}\)-norm. Further, the compact schemes are conservative. Numerical experiment results show that the theory is accurate and the method is efficient and reliable.
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 6927698
Wikidata QID: Q59120067
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/960602
OpenAlex ID: W2169074649
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description: scientific article; zbMATH DE number 6927698