Conservative Linear Difference Scheme for Rosenau-KdV Equation
A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well. The existence and uniqueness of the difference solution ar...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/423718 |
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| _version_ | 1832555153347051520 |
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| author | Jinsong Hu Youcai Xu Bing Hu |
| author_facet | Jinsong Hu Youcai Xu Bing Hu |
| author_sort | Jinsong Hu |
| collection | DOAJ |
| description | A conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well. The existence and uniqueness of the difference solution are proved. It is shown that the finite difference scheme is of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results. |
| format | Article |
| id | doaj-art-94ede2bb2ca44ca3822e29ac665dc75a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-94ede2bb2ca44ca3822e29ac665dc75a2025-02-03T05:49:27ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/423718423718Conservative Linear Difference Scheme for Rosenau-KdV EquationJinsong Hu0Youcai Xu1Bing Hu2School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, ChinaSchool of Mathematics, Sichuan University, Chengdu 610064, ChinaSchool of Mathematics, Sichuan University, Chengdu 610064, ChinaA conservative three-level linear finite difference scheme for the numerical solution of the initial-boundary value problem of Rosenau-KdV equation is proposed. The difference scheme simulates two conservative quantities of the problem well. The existence and uniqueness of the difference solution are proved. It is shown that the finite difference scheme is of second-order convergence and unconditionally stable. Numerical experiments verify the theoretical results.http://dx.doi.org/10.1155/2013/423718 |
| spellingShingle | Jinsong Hu Youcai Xu Bing Hu Conservative Linear Difference Scheme for Rosenau-KdV Equation Advances in Mathematical Physics |
| title | Conservative Linear Difference Scheme for Rosenau-KdV Equation |
| title_full | Conservative Linear Difference Scheme for Rosenau-KdV Equation |
| title_fullStr | Conservative Linear Difference Scheme for Rosenau-KdV Equation |
| title_full_unstemmed | Conservative Linear Difference Scheme for Rosenau-KdV Equation |
| title_short | Conservative Linear Difference Scheme for Rosenau-KdV Equation |
| title_sort | conservative linear difference scheme for rosenau kdv equation |
| url | http://dx.doi.org/10.1155/2013/423718 |
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