Numerical solution of the forced korteweg-de vries (FKDV) equation

• Main Authors: Mohd. Yazid, Nazatulsyima, Tay, Kim Gaik, Choy, Yaan Yee, Md. Sudin, Azila, Tiong, Wei King, Ong, Chee Tiong
• Format: Article
• Published: Asian Research Publishing Network 2016
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/74635/; https://www.scopus.com/inward/record.uri?eid=2-s2.0-85010280496&partnerID=40&md5=a12d6e88ccdb8d866fa66d5310029729
• Institution: Universiti Teknologi Malaysia

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.