A Conservation Difference Scheme of Generalized Boussinesq Equation
We focus on the algorithm research of a class of six-order generalized Boussinesq equation. We use the finite difference method to discrete the Boussinesq equation. The discrete format with the law of energy conservation is deduced; stability and existence and good order of convergence properties ar...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/5392172 |
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| _version_ | 1832552047204892672 |
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| author | Xiaoli Jiang Xiaofeng Wang |
| author_facet | Xiaoli Jiang Xiaofeng Wang |
| author_sort | Xiaoli Jiang |
| collection | DOAJ |
| description | We focus on the algorithm research of a class of six-order generalized Boussinesq equation. We use the finite difference method to discrete the Boussinesq equation. The discrete format with the law of energy conservation is deduced; stability and existence and good order of convergence properties are also derived. The efficiency of the proposed method is tested to numerical results that the convergence of space is of second-order and the conservation law of energy is verified very well for the energy difference. |
| format | Article |
| id | doaj-art-ca7b3f366b3d40178364e10510bb01d8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ca7b3f366b3d40178364e10510bb01d82025-02-03T05:59:51ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/53921725392172A Conservation Difference Scheme of Generalized Boussinesq EquationXiaoli Jiang0Xiaofeng Wang1School of Mathematics and Physics, Bohai University, Jinzhou, Liaoning Province 121013, ChinaSchool of Mathematics and Physics, Bohai University, Jinzhou, Liaoning Province 121013, ChinaWe focus on the algorithm research of a class of six-order generalized Boussinesq equation. We use the finite difference method to discrete the Boussinesq equation. The discrete format with the law of energy conservation is deduced; stability and existence and good order of convergence properties are also derived. The efficiency of the proposed method is tested to numerical results that the convergence of space is of second-order and the conservation law of energy is verified very well for the energy difference.http://dx.doi.org/10.1155/2017/5392172 |
| spellingShingle | Xiaoli Jiang Xiaofeng Wang A Conservation Difference Scheme of Generalized Boussinesq Equation Discrete Dynamics in Nature and Society |
| title | A Conservation Difference Scheme of Generalized Boussinesq Equation |
| title_full | A Conservation Difference Scheme of Generalized Boussinesq Equation |
| title_fullStr | A Conservation Difference Scheme of Generalized Boussinesq Equation |
| title_full_unstemmed | A Conservation Difference Scheme of Generalized Boussinesq Equation |
| title_short | A Conservation Difference Scheme of Generalized Boussinesq Equation |
| title_sort | conservation difference scheme of generalized boussinesq equation |
| url | http://dx.doi.org/10.1155/2017/5392172 |
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