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: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/217393 |
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| _version_ | 1832553656197578752 |
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| author | Jinsong Hu Youcai Xu Bing Hu Xiaoping Xie |
| author_facet | Jinsong Hu Youcai Xu Bing Hu Xiaoping Xie |
| author_sort | Jinsong Hu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0423fde716404b8994391b95784730ef |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0423fde716404b8994391b95784730ef2025-02-03T05:53:26ZengWileyAdvances 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 |
| spellingShingle | Jinsong Hu Youcai Xu Bing Hu Xiaoping Xie Two Conservative Difference Schemes for Rosenau-Kawahara Equation Advances in Mathematical Physics |
| title | 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_short | Two Conservative Difference Schemes for Rosenau-Kawahara Equation |
| title_sort | two conservative difference schemes for rosenau kawahara equation |
| 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 |