Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube
In this paper, we solved the forced Korteweg-de vries (FKdV) with variable coef- ficient arises in nonlinear wave propagation in an elastic tube with a symmetrical stenosis filled with an inviscid fluid by two numerical methods, namely method of lines and pseudospectral method. We then compared both...
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| Language: | en |
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Academic Publications, Ltd
2017
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| Online Access: | http://eprints.uthm.edu.my/3693/1/AJ%202017%20%28517%29.pdf http://eprints.uthm.edu.my/3693/ |
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| author | Tay, Kim Gaik Tiong, Wei King Choy, Yaan Yee Ong, Chee Tiong |
| author_facet | Tay, Kim Gaik Tiong, Wei King Choy, Yaan Yee Ong, Chee Tiong |
| author_sort | Tay, Kim Gaik |
| building | UTHM Library |
| collection | Institutional Repository |
| content_provider | Universiti Tun Hussein Onn Malaysia |
| content_source | UTHM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | In this paper, we solved the forced Korteweg-de vries (FKdV) with variable coef- ficient arises in nonlinear wave propagation in an elastic tube with a symmetrical stenosis filled with an inviscid fluid by two numerical methods, namely method of lines and pseudospectral method. We then compared both numerical solutions with its progressive wave solution. Both methods solve FKdV equation with maximum absolute errors of 10−4. |
| format | Article |
| id | my.uthm.eprints-3693 |
| institution | Universiti Tun Hussein Onn Malaysia |
| language | en |
| publishDate | 2017 |
| publisher | Academic Publications, Ltd |
| record_format | eprints |
| spelling | my.uthm.eprints-36932021-11-21T07:27:37Z http://eprints.uthm.edu.my/3693/ Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube Tay, Kim Gaik Tiong, Wei King Choy, Yaan Yee Ong, Chee Tiong QA801-939 Analytic mechanics In this paper, we solved the forced Korteweg-de vries (FKdV) with variable coef- ficient arises in nonlinear wave propagation in an elastic tube with a symmetrical stenosis filled with an inviscid fluid by two numerical methods, namely method of lines and pseudospectral method. We then compared both numerical solutions with its progressive wave solution. Both methods solve FKdV equation with maximum absolute errors of 10−4. Academic Publications, Ltd 2017 Article PeerReviewed text en http://eprints.uthm.edu.my/3693/1/AJ%202017%20%28517%29.pdf Tay, Kim Gaik and Tiong, Wei King and Choy, Yaan Yee and Ong, Chee Tiong (2017) Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube. International Journal of Pure and Applied Mathematics, 116 (4). pp. 985-999. ISSN 1311-8080 |
| spellingShingle | QA801-939 Analytic mechanics Tay, Kim Gaik Tiong, Wei King Choy, Yaan Yee Ong, Chee Tiong Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube |
| title | Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube |
| title_full | Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube |
| title_fullStr | Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube |
| title_full_unstemmed | Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube |
| title_short | Method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube |
| title_sort | method of lines and pseudospectral solutions of the forced korteweg-de vries equation with variable coefficients arises in elastic tube |
| topic | QA801-939 Analytic mechanics |
| url | http://eprints.uthm.edu.my/3693/1/AJ%202017%20%28517%29.pdf http://eprints.uthm.edu.my/3693/ |
| url_provider | http://eprints.uthm.edu.my/ |