Numerical solutions of the forced perturbed Korteweg-de Vries equation with variable coefficients
In this paper, we solved the forced perturbed Korteweg-de vries (FpKdV) with variable coefficient arises in nonlinear wave propagation in an elastic tube filled with a sym- metrical stenosis filled with a viscous fluid by two numerical methods, namely method of lines and pseudospectral method. We th...
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| Format: | Article |
| Language: | English |
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Academic Publications, Ltd.
2017
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| Online Access: | http://ir.unimas.my/id/eprint/16051/ http://ir.unimas.my/id/eprint/16051/1/NUMERICAL%20SOLUTIONS%20OF%20THE%20FORCED%20PERTURBED%20%28abstract%29.pdf |
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| author | Kim, Gaik Tay Yaan, Yee Choy, Wei, King Tiong Chee, Tiong Ong Nazatulsyima, Mohd Yazid |
| author_facet | Kim, Gaik Tay Yaan, Yee Choy, Wei, King Tiong Chee, Tiong Ong Nazatulsyima, Mohd Yazid |
| author_sort | Kim, Gaik Tay |
| building | UNIMAS Institutional Repository |
| collection | Online Access |
| description | In this paper, we solved the forced perturbed Korteweg-de vries (FpKdV) with variable coefficient arises in nonlinear wave propagation in an elastic tube filled with a sym- metrical stenosis filled with a viscous fluid by two numerical methods, namely method of lines and pseudospectral method. We then compared both numerical solution with its progressive wave solution. Both methods solve FpKdV equation with maximum absolute errors of 10-2. |
| first_indexed | 2025-11-15T06:48:12Z |
| format | Article |
| id | unimas-16051 |
| institution | Universiti Malaysia Sarawak |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T06:48:12Z |
| publishDate | 2017 |
| publisher | Academic Publications, Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | unimas-160512022-09-29T03:30:24Z http://ir.unimas.my/id/eprint/16051/ Numerical solutions of the forced perturbed Korteweg-de Vries equation with variable coefficients Kim, Gaik Tay Yaan, Yee Choy, Wei, King Tiong Chee, Tiong Ong Nazatulsyima, Mohd Yazid QA Mathematics In this paper, we solved the forced perturbed Korteweg-de vries (FpKdV) with variable coefficient arises in nonlinear wave propagation in an elastic tube filled with a sym- metrical stenosis filled with a viscous fluid by two numerical methods, namely method of lines and pseudospectral method. We then compared both numerical solution with its progressive wave solution. Both methods solve FpKdV equation with maximum absolute errors of 10-2. Academic Publications, Ltd. 2017 Article PeerReviewed text en http://ir.unimas.my/id/eprint/16051/1/NUMERICAL%20SOLUTIONS%20OF%20THE%20FORCED%20PERTURBED%20%28abstract%29.pdf Kim, Gaik Tay and Yaan, Yee Choy, and Wei, King Tiong and Chee, Tiong Ong and Nazatulsyima, Mohd Yazid (2017) Numerical solutions of the forced perturbed Korteweg-de Vries equation with variable coefficients. International Journal of Pure and Applied Mathematics, 112 (3). pp. 557-569. ISSN 1314-3395 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85014644692&doi=10.12732%2fijpam.v112i3.8&partnerID=40&md5=dbde33b089fbbe076c0356cc7e5b940f DOI: 10.12732/ijpam.v112i3.8 |
| spellingShingle | QA Mathematics Kim, Gaik Tay Yaan, Yee Choy, Wei, King Tiong Chee, Tiong Ong Nazatulsyima, Mohd Yazid Numerical solutions of the forced perturbed Korteweg-de Vries equation with variable coefficients |
| title | Numerical solutions of the forced perturbed Korteweg-de Vries equation with variable coefficients |
| title_full | Numerical solutions of the forced perturbed Korteweg-de Vries equation with variable coefficients |
| title_fullStr | Numerical solutions of the forced perturbed Korteweg-de Vries equation with variable coefficients |
| title_full_unstemmed | Numerical solutions of the forced perturbed Korteweg-de Vries equation with variable coefficients |
| title_short | Numerical solutions of the forced perturbed Korteweg-de Vries equation with variable coefficients |
| title_sort | numerical solutions of the forced perturbed korteweg-de vries equation with variable coefficients |
| topic | QA Mathematics |
| url | http://ir.unimas.my/id/eprint/16051/ http://ir.unimas.my/id/eprint/16051/ http://ir.unimas.my/id/eprint/16051/ http://ir.unimas.my/id/eprint/16051/1/NUMERICAL%20SOLUTIONS%20OF%20THE%20FORCED%20PERTURBED%20%28abstract%29.pdf |