Table of Contents
Journal of Computational Methods in Physics
Volume 2014 (2014), Article ID 392962, 8 pages
http://dx.doi.org/10.1155/2014/392962
Research Article

Sinc Collocation Method for Solving the Benjamin-Ono Equation

Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 002, South Africa

Received 22 March 2014; Accepted 17 June 2014; Published 23 July 2014

Academic Editor: Ali Cemal Benim

Copyright © 2014 Edson Pindza and Eben Maré. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose a simple, though powerful, technique for numerical solutions of the Benjamin-Ono equation. This approach is based on a global collocation method using Sinc basis functions. Some properties of the Sinc collocation method required for our subsequent development are given and utilized to reduce the computation of the Benjamin-Ono equation to a system of ordinary differential equations. The propagation of one soliton and the interaction of two solitons are used to validate our numerical method. The method is easy to implement and yields accurate results.