The method of lines solution of the Forced Korteweg-de Vries-Burgers equation

Nazatulsyima, Mohd Yazid and Kim, Gaik Tay and Wei, King Tiong and Yaan, Yee Choy, and Azila, Md Sudin and Chee, Tiong Ong (2017) The method of lines solution of the Forced Korteweg-de Vries-Burgers equation. Matematika, 33 (1). pp. 35-41. ISSN 0127-6902

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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 differ- ential equations (ODEs) for the time derivative. The MOL approach of the FKdVB equation leads to a system of ODEs. The solution of the system of ODEs is obtained by applying the Fourth-Order Runge-Kutta (RK4) method. The numerical solution obtained is then compared with its progressive wave solution in order to show the accuracy of the MOL method.

Item Type: Article
Uncontrolled Keywords: FKdVB Equation; partial differential equations; the method of lines; system of differential equation; Runge Kutta method, research, Universiti Malaysia Sarawak, unimas, university, universiti, Borneo, Malaysia, Sarawak, Kuching, Samarahan, ipta, education
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Academic Faculties, Institutes and Centres > Faculty of Computer Science and Information Technology
Depositing User: Karen Kornalius
Date Deposited: 15 Aug 2017 06:36
Last Modified: 15 Aug 2017 06:36
URI: http://ir.unimas.my/id/eprint/17239

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