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

• Main Authors: Nazatulsyima, Mohd Yazid, Kim, Gaik Tay, Wei, King Tiong, Yaan, Yee Choy, Azila, Md Sudin, Chee, Tiong Ong
• Format: Article
• Language: English
• Published: Penerbit UTM Press 2017
• Subjects: QA75 Electronic computers. Computer science
• Online Access: http://ir.unimas.my/id/eprint/17239/1/The%20method%20of%20lines%20solution%20of%20the%20Forced%20%28abstract%29.pdf; http://ir.unimas.my/id/eprint/17239/; http://www.matematika.utm.my/index.php/matematika/article/view/944
• Institution: Universiti Malaysia Sarawak

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.