Numerical solution of the Forced Korteweg-De Vries (FKdV) equation
In this paper, the application of the method of lines (MOL) to the FKdV equation is presented. The MOL is a general technique for solving partial differential equations by typically using finite-difference relationships for the spatial derivatives and ordinary differential equations (ODEs) for the t...
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| Format: | Conference or Workshop Item |
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2015
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| _version_ | 1796861481968467968 |
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| author | Mohd. Yazid, Nazatulsyima Kim, Gaik Tay Yaan, Yee Choy Md. Sudin, Azila Wei, King Tiong Ong, Chee Tiong |
| author_facet | Mohd. Yazid, Nazatulsyima Kim, Gaik Tay Yaan, Yee Choy Md. Sudin, Azila Wei, King Tiong Ong, Chee Tiong |
| author_sort | Mohd. Yazid, Nazatulsyima |
| collection | ePrints |
| description | In this paper, the application of the method of lines (MOL) to the FKdV equation is presented. The MOL is a general technique for solving partial differential equations by typically using finite-difference relationships for the spatial derivatives and ordinary differential equations (ODEs) for the time derivative. The MOL approach of the FKdV equation led to a system of ODEs. Solution of the system of ODEs was obtained by applying fourth order Runge Kutta (RK4) method. In order to show the accuracy of the presented method, the numerical solutions obtained were compared with progressive wave solution. |
| first_indexed | 2024-03-05T19:57:03Z |
| format | Conference or Workshop Item |
| id | utm.eprints-63560 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:57:03Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | utm.eprints-635602017-08-16T07:20:24Z http://eprints.utm.my/63560/ Numerical solution of the Forced Korteweg-De Vries (FKdV) equation Mohd. Yazid, Nazatulsyima Kim, Gaik Tay Yaan, Yee Choy Md. Sudin, Azila Wei, King Tiong Ong, Chee Tiong QA Mathematics In this paper, the application of the method of lines (MOL) to the FKdV equation is presented. The MOL is a general technique for solving partial differential equations by typically using finite-difference relationships for the spatial derivatives and ordinary differential equations (ODEs) for the time derivative. The MOL approach of the FKdV equation led to a system of ODEs. Solution of the system of ODEs was obtained by applying fourth order Runge Kutta (RK4) method. In order to show the accuracy of the presented method, the numerical solutions obtained were compared with progressive wave solution. 2015 Conference or Workshop Item PeerReviewed Mohd. Yazid, Nazatulsyima and Kim, Gaik Tay and Yaan, Yee Choy and Md. Sudin, Azila and Wei, King Tiong and Ong, Chee Tiong (2015) Numerical solution of the Forced Korteweg-De Vries (FKdV) equation. In: MUICET 2015, 11-13 Oct, 2015, Johor Bahru, Johor. http://www.mucet.net/2015/?q=node/17 |
| spellingShingle | QA Mathematics Mohd. Yazid, Nazatulsyima Kim, Gaik Tay Yaan, Yee Choy Md. Sudin, Azila Wei, King Tiong Ong, Chee Tiong Numerical solution of the Forced Korteweg-De Vries (FKdV) equation |
| title | Numerical solution of the Forced Korteweg-De Vries (FKdV) equation |
| title_full | Numerical solution of the Forced Korteweg-De Vries (FKdV) equation |
| title_fullStr | Numerical solution of the Forced Korteweg-De Vries (FKdV) equation |
| title_full_unstemmed | Numerical solution of the Forced Korteweg-De Vries (FKdV) equation |
| title_short | Numerical solution of the Forced Korteweg-De Vries (FKdV) equation |
| title_sort | numerical solution of the forced korteweg de vries fkdv equation |
| topic | QA Mathematics |
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