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...
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| Format: | Conference or Workshop Item |
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2015
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| _version_ | 1796860931633840128 |
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| author | Tiong, W. K. Tay, K. G. Ong, Chee Tiong Sze, S. N. |
| author_facet | Tiong, W. K. Tay, K. G. Ong, Chee Tiong Sze, S. N. |
| author_sort | Tiong, W. K. |
| collection | ePrints |
| 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 | 2024-03-05T19:48:41Z |
| format | Conference or Workshop Item |
| id | utm.eprints-60558 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:48:41Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | utm.eprints-605582017-08-16T07:35:03Z http://eprints.utm.my/60558/ Numerical solution of the gardner equation Tiong, W. K. Tay, K. G. Ong, Chee Tiong Sze, S. N. Q Science (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. 2015 Conference or Workshop Item PeerReviewed Tiong, W. K. and Tay, K. G. and Ong, Chee Tiong and Sze, S. N. (2015) Numerical solution of the gardner equation. In: 2nd International Conference on Computing, Mathematics and Statistics (ICMS2015), 4-5 Nov, 2015, Kedah, Malaysia. http://link.springer.com/chapter/10.1007/978-981-10-2772-7_25 |
| spellingShingle | Q Science (General) Tiong, W. K. Tay, K. G. Ong, Chee Tiong 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 | Q Science (General) |
| work_keys_str_mv | AT tiongwk numericalsolutionofthegardnerequation AT taykg numericalsolutionofthegardnerequation AT ongcheetiong numericalsolutionofthegardnerequation AT szesn numericalsolutionofthegardnerequation |