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The method of lines solution of the Forced Korteweg-De Vries-Burgers equation (FKdVB)

Mohd. Yazid, Nazatulsyima and Kim, Gaik Tay and Wei, King Tiong and Yan, Yee Choy and Md. Sudin, Azila and Ong, Chee Tiong (2015) The method of lines solution of the Forced Korteweg-De Vries-Burgers equation (FKdVB). In: Simposium Kebangsan Sains Matematik, 24-26 Nov,2015, Johor Bahru, Johor.

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Abstract

In this paper, the application of the method of lines (MOL) to the Forced Korteweg-de Vries-Burgers equation with variable coefficient (FKdVB) is presented. The MOL is a powerful technique for solving partial differential equations by typically using finite-difference approximations for the spatial derivatives and ordinary differential equations (ODEs) for the time derivative. The MOL approach of the FKdVB equation led to a system of ODEs. Solution of the system of ODEs was obtained by applying the Fourth-OrderRunge-Kutta (RK4) method. In order to show the accuracy of the presented method, the numerical solutions obtained were compared with its progressive wave solution in terms of maximum absolute error at certain times. It was found that the maximum absolute errors are in theorder of 10-6.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:FKdVB equation, the method of lines
Subjects:Q Science > QC Physics
Divisions:Science
ID Code:63557
Deposited By: Widya Wahid
Deposited On:30 May 2017 15:54
Last Modified:16 Aug 2017 15:22

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