Numerical Solution of the Gardner Equation
The Gardner equation is commonly used to describe wave propagation in weakly nonlinear dispersive medium. The Gardner equation has a higher order nonlinear term, which could make the numerical calculation inaccurate. In this paper, the Gardner equation is solved using two numerical methods, i.e., th...
| Main Authors: | , , , |
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| Format: | Proceeding |
| Published: |
2016
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| Subjects: | |
| Online Access: | http://ir.unimas.my/id/eprint/15679/ |
| _version_ | 1848837903427305472 |
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| author | Tiong, W.K. Tay, K.G. Ong, C.T. Sze, S.N. |
| author_facet | Tiong, W.K. Tay, K.G. Ong, C.T. Sze, S.N. |
| author_sort | Tiong, W.K. |
| building | UNIMAS Institutional Repository |
| collection | Online Access |
| description | The Gardner equation is commonly used to describe wave propagation in weakly nonlinear dispersive medium. The Gardner equation has a higher order nonlinear term, which could make the numerical calculation inaccurate. In this paper, the Gardner equation is solved using two numerical methods, i.e., the method of lines and pseudospectral method. The efficiency and accuracy of both methods were studied. Our results show that both methods are accurate and efficient methods to solve the Gardner equation. By comparing the accuracy of both the methods, the method of lines performs better than pseudospectral method most of the time. |
| first_indexed | 2025-11-15T06:47:03Z |
| format | Proceeding |
| id | unimas-15679 |
| institution | Universiti Malaysia Sarawak |
| institution_category | Local University |
| last_indexed | 2025-11-15T06:47:03Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | unimas-156792017-03-29T00:42:28Z http://ir.unimas.my/id/eprint/15679/ Numerical Solution of the Gardner Equation Tiong, W.K. Tay, K.G. Ong, C.T. Sze, S.N. T Technology (General) The Gardner equation is commonly used to describe wave propagation in weakly nonlinear dispersive medium. The Gardner equation has a higher order nonlinear term, which could make the numerical calculation inaccurate. In this paper, the Gardner equation is solved using two numerical methods, i.e., the method of lines and pseudospectral method. The efficiency and accuracy of both methods were studied. Our results show that both methods are accurate and efficient methods to solve the Gardner equation. By comparing the accuracy of both the methods, the method of lines performs better than pseudospectral method most of the time. 2016 Proceeding PeerReviewed Tiong, W.K. and Tay, K.G. and Ong, C.T. and Sze, S.N. (2016) Numerical Solution of the Gardner Equation. In: Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015), Springer, Singapore. DOI: 10.1007/978-981-10-2772-7_25 |
| spellingShingle | T Technology (General) Tiong, W.K. Tay, K.G. Ong, C.T. Sze, S.N. Numerical Solution of the Gardner Equation |
| title | Numerical Solution of the Gardner Equation |
| title_full | Numerical Solution of the Gardner Equation |
| title_fullStr | Numerical Solution of the Gardner Equation |
| title_full_unstemmed | Numerical Solution of the Gardner Equation |
| title_short | Numerical Solution of the Gardner Equation |
| title_sort | numerical solution of the gardner equation |
| topic | T Technology (General) |
| url | http://ir.unimas.my/id/eprint/15679/ http://ir.unimas.my/id/eprint/15679/ |