A fourth order finite difference method for the good Boussinesq equation
type: Item
instance of: scholarly article
title: A fourth order finite difference method for the good Boussinesq equation
zbMATH Open document ID: 1470.65151
DOI: 10.1155/2014/323260
author: Xianqiang Yang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The ``good'' Boussinesq equation is transformed into a first order differential system. A fourth order finite difference scheme is derived for this system. The resulting scheme is analyzed for accuracy and stability. Newton's method and linearization techniques are used to solve the resulting nonlinear system. The exact solution and the conserved quantity are used to assess the accuracy and the efficiency of the derived method. Head-on and overtaking interactions of two solitons are also considered. The numerical results reveal the good performance of the derived method.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7022169
Wikidata QID: Q59036162
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/323260
OpenAlex ID: W2041187918
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description: scientific article; zbMATH DE number 7022169