The method of lines solution of the Forced Korteweg-de Vries-Burgers equation
In this paper, the application of the method of lines (MOL) to the Forced Korteweg-de Vries-Burgers equation with variable coefficient (FKdVB) is presented. The MOL is a powerful technique for solving partial differential equations by typically using finite-difference approximations for the spati...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2017
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| Subjects: | |
| Online Access: | http://ir.unimas.my/id/eprint/17239/ http://ir.unimas.my/id/eprint/17239/1/The%20method%20of%20lines%20solution%20of%20the%20Forced%20%28abstract%29.pdf |
| _version_ | 1848838246263422976 |
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| author | Nazatulsyima, Mohd Yazid Kim, Gaik Tay Wei, King Tiong Yaan, Yee Choy, Azila, Md Sudin Chee, Tiong Ong |
| author_facet | Nazatulsyima, Mohd Yazid Kim, Gaik Tay Wei, King Tiong Yaan, Yee Choy, Azila, Md Sudin Chee, Tiong Ong |
| author_sort | Nazatulsyima, Mohd Yazid |
| building | UNIMAS Institutional Repository |
| collection | Online Access |
| description | In this paper, the application of the method of lines (MOL) to the Forced
Korteweg-de Vries-Burgers equation with variable coefficient (FKdVB) is presented.
The MOL is a powerful technique for solving partial differential equations by typically
using finite-difference approximations for the spatial derivatives and ordinary differ-
ential equations (ODEs) for the time derivative. The MOL approach of the FKdVB
equation leads to a system of ODEs. The solution of the system of ODEs is obtained
by applying the Fourth-Order Runge-Kutta (RK4) method. The numerical solution
obtained is then compared with its progressive wave solution in order to show the
accuracy of the MOL method. |
| first_indexed | 2025-11-15T06:52:30Z |
| format | Article |
| id | unimas-17239 |
| institution | Universiti Malaysia Sarawak |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T06:52:30Z |
| publishDate | 2017 |
| publisher | Penerbit UTM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | unimas-172392022-09-29T03:44:50Z http://ir.unimas.my/id/eprint/17239/ The method of lines solution of the Forced Korteweg-de Vries-Burgers equation Nazatulsyima, Mohd Yazid Kim, Gaik Tay Wei, King Tiong Yaan, Yee Choy, Azila, Md Sudin Chee, Tiong Ong QA75 Electronic computers. Computer science In this paper, the application of the method of lines (MOL) to the Forced Korteweg-de Vries-Burgers equation with variable coefficient (FKdVB) is presented. The MOL is a powerful technique for solving partial differential equations by typically using finite-difference approximations for the spatial derivatives and ordinary differ- ential equations (ODEs) for the time derivative. The MOL approach of the FKdVB equation leads to a system of ODEs. The solution of the system of ODEs is obtained by applying the Fourth-Order Runge-Kutta (RK4) method. The numerical solution obtained is then compared with its progressive wave solution in order to show the accuracy of the MOL method. Penerbit UTM Press 2017 Article PeerReviewed text en http://ir.unimas.my/id/eprint/17239/1/The%20method%20of%20lines%20solution%20of%20the%20Forced%20%28abstract%29.pdf Nazatulsyima, Mohd Yazid and Kim, Gaik Tay and Wei, King Tiong and Yaan, Yee Choy, and Azila, Md Sudin and Chee, Tiong Ong (2017) The method of lines solution of the Forced Korteweg-de Vries-Burgers equation. Matematika, 33 (1). pp. 35-41. ISSN 0127-6902 http://www.matematika.utm.my/index.php/matematika/article/view/944 |
| spellingShingle | QA75 Electronic computers. Computer science Nazatulsyima, Mohd Yazid Kim, Gaik Tay Wei, King Tiong Yaan, Yee Choy, Azila, Md Sudin Chee, Tiong Ong The method of lines solution of the Forced Korteweg-de Vries-Burgers equation |
| title | The method of lines solution of the Forced Korteweg-de Vries-Burgers equation |
| title_full | The method of lines solution of the Forced Korteweg-de Vries-Burgers equation |
| title_fullStr | The method of lines solution of the Forced Korteweg-de Vries-Burgers equation |
| title_full_unstemmed | The method of lines solution of the Forced Korteweg-de Vries-Burgers equation |
| title_short | The method of lines solution of the Forced Korteweg-de Vries-Burgers equation |
| title_sort | method of lines solution of the forced korteweg-de vries-burgers equation |
| topic | QA75 Electronic computers. Computer science |
| url | http://ir.unimas.my/id/eprint/17239/ http://ir.unimas.my/id/eprint/17239/ http://ir.unimas.my/id/eprint/17239/1/The%20method%20of%20lines%20solution%20of%20the%20Forced%20%28abstract%29.pdf |