Two Conservative Difference Schemes for Rosenau-Kawahara Equation

Two Conservative Difference Schemes for Rosenau-Kawahara Equation

Two conservative finite difference schemes for the numerical solution of the initialboundary value problem of Rosenau-Kawahara equation are proposed. The difference schemes simulate two conservative quantities of the problem well. The existence and uniqueness of the difference solution are proved. I...

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Main Authors: Jinsong Hu, Youcai Xu, Bing Hu, Xiaoping Xie
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2014/217393
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spelling doaj-0423fde716404b8994391b95784730ef2021-07-02T18:07:17ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/217393217393Two Conservative Difference Schemes for Rosenau-Kawahara EquationJinsong Hu0Youcai Xu1Bing Hu2Xiaoping Xie3School of Mathematics, Sichuan University, Chengdu 610064, ChinaSchool of Mathematics, Sichuan University, Chengdu 610064, ChinaSchool of Mathematics, Sichuan University, Chengdu 610064, ChinaSchool of Mathematics, Sichuan University, Chengdu 610064, ChinaTwo conservative finite difference schemes for the numerical solution of the initialboundary value problem of Rosenau-Kawahara equation are proposed. The difference schemes simulate two conservative quantities of the problem well. The existence and uniqueness of the difference solution are proved. It is shown that the finite difference schemes are of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results.http://dx.doi.org/10.1155/2014/217393
collection DOAJ
language English
format Article
sources DOAJ
author Jinsong Hu
Youcai Xu
Bing Hu
Xiaoping Xie
spellingShingle Jinsong Hu
Youcai Xu
Bing Hu
Xiaoping Xie
Two Conservative Difference Schemes for Rosenau-Kawahara Equation
Advances in Mathematical Physics
author_facet Jinsong Hu
Youcai Xu
Bing Hu
Xiaoping Xie
author_sort Jinsong Hu
title Two Conservative Difference Schemes for Rosenau-Kawahara Equation
title_short Two Conservative Difference Schemes for Rosenau-Kawahara Equation
title_full Two Conservative Difference Schemes for Rosenau-Kawahara Equation
title_fullStr Two Conservative Difference Schemes for Rosenau-Kawahara Equation
title_full_unstemmed Two Conservative Difference Schemes for Rosenau-Kawahara Equation
title_sort two conservative difference schemes for rosenau-kawahara equation
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2014-01-01
description Two conservative finite difference schemes for the numerical solution of the initialboundary value problem of Rosenau-Kawahara equation are proposed. The difference schemes simulate two conservative quantities of the problem well. The existence and uniqueness of the difference solution are proved. It is shown that the finite difference schemes are of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results.
url http://dx.doi.org/10.1155/2014/217393
work_keys_str_mv AT jinsonghu twoconservativedifferenceschemesforrosenaukawaharaequation
AT youcaixu twoconservativedifferenceschemesforrosenaukawaharaequation
AT binghu twoconservativedifferenceschemesforrosenaukawaharaequation
AT xiaopingxie twoconservativedifferenceschemesforrosenaukawaharaequation
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