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 the...
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2017
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my.utm.800622019-03-05T02:54:13Z http://eprints.utm.my/id/eprint/80062/ 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 Mohd. Yazid, Nazatulsyima 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 maxim um absolute errors of 10−2. Academic Publishing 2017 Article PeerReviewed Kim, Gaik Tay and Yaan, Yee Choy and Wei, King Tiong and Chee, Tiong Ong and Mohd. Yazid, Nazatulsyima (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 1311-8080 http://dx.doi.org/10.12732/ijpam.v112i3.8 DOI:10.12732/ijpam.v112i3.8 |
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QA Mathematics Kim, Gaik Tay Yaan, Yee Choy Wei, King Tiong Chee, Tiong Ong Mohd. Yazid, Nazatulsyima Numerical solutions of the forced perturbed Korteweg-de vries equation with variable coefficients |
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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 maxim um absolute errors of 10−2. |
| format |
Article |
| author |
Kim, Gaik Tay Yaan, Yee Choy Wei, King Tiong Chee, Tiong Ong Mohd. Yazid, Nazatulsyima |
| author_facet |
Kim, Gaik Tay Yaan, Yee Choy Wei, King Tiong Chee, Tiong Ong Mohd. Yazid, Nazatulsyima |
| author_sort |
Kim, Gaik Tay |
| title |
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_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_sort |
numerical solutions of the forced perturbed korteweg-de vries equation with variable coefficients |
| publisher |
Academic Publishing |
| publishDate |
2017 |
| url |
http://eprints.utm.my/id/eprint/80062/ http://dx.doi.org/10.12732/ijpam.v112i3.8 |
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