Mohd. Yazid, Nazatulsyima and Tay, Kim Gaik and Choy, Yaan Yee and Md. Sudin, Azila and Tiong, Wei King and Ong, Chee Tiong (2016) Numerical solution of the forced korteweg-de vries (FKDV) equation. ARPN Journal of Engineering and Applied Sciences, 11 (18). pp. 10757-10760. ISSN 1819-6608
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Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FKdV equation, Runge kutta, System of differential equation, The method of lines |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 74635 |
| Deposited By: | Siti Nor Hashidah Zakaria |
| Deposited On: | 29 Nov 2017 23:58 |
| Last Modified: | 29 Nov 2017 23:58 |
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