Universiti Teknologi Malaysia Institutional Repository

Numerical solution of the Forced Korteweg-De Vries (FKdV) equation

Mohd. Yazid, Nazatulsyima and Kim, Gaik Tay and Yaan, Yee Choy and Md. Sudin, Azila and Wei, King Tiong and Ong, Chee Tiong (2015) Numerical solution of the Forced Korteweg-De Vries (FKdV) equation. In: MUICET 2015, 11-13 Oct, 2015, Johor Bahru, Johor.

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Official URL: http://www.mucet.net/2015/?q=node/17

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:Conference or Workshop Item (Paper)
Uncontrolled Keywords:system of differential equation, runge kutta
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:63560
Deposited By: Widya Wahid
Deposited On:30 May 2017 16:13
Last Modified:16 Aug 2017 15:20

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