An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation
An average linear finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-KdV equation is proposed. The existence, uniqueness, and conservation for energy of the difference solution are proved by the discrete energy norm method. It is shown th...
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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: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/202793 |
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| _version_ | 1832566990896627712 |
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| author | Maobo Zheng Jun Zhou |
| author_facet | Maobo Zheng Jun Zhou |
| author_sort | Maobo Zheng |
| collection | DOAJ |
| description | An average linear finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-KdV equation is proposed. The existence, uniqueness, and conservation for energy of the difference solution are proved by the discrete energy norm method. It is shown that the finite difference scheme is 2nd-order convergent and unconditionally stable. Numerical experiments verify that the theoretical results are right and the numerical method is efficient and reliable. |
| format | Article |
| id | doaj-art-c480931ba1044db2948729dc89d9212f |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c480931ba1044db2948729dc89d9212f2025-02-03T01:02:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/202793202793An Average Linear Difference Scheme for the Generalized Rosenau-KdV EquationMaobo Zheng0Jun Zhou1Chengdu Technological University, Chengdu 610031, ChinaSchool of Mathematics and Computer Science, Yangtze Normal University, Chongqing 408100, ChinaAn average linear finite difference scheme for the numerical solution of the initial-boundary value problem of Generalized Rosenau-KdV equation is proposed. The existence, uniqueness, and conservation for energy of the difference solution are proved by the discrete energy norm method. It is shown that the finite difference scheme is 2nd-order convergent and unconditionally stable. Numerical experiments verify that the theoretical results are right and the numerical method is efficient and reliable.http://dx.doi.org/10.1155/2014/202793 |
| spellingShingle | Maobo Zheng Jun Zhou An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation Journal of Applied Mathematics |
| title | An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation |
| title_full | An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation |
| title_fullStr | An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation |
| title_full_unstemmed | An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation |
| title_short | An Average Linear Difference Scheme for the Generalized Rosenau-KdV Equation |
| title_sort | average linear difference scheme for the generalized rosenau kdv equation |
| url | http://dx.doi.org/10.1155/2014/202793 |
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