Table of Contents
Advances in Numerical Analysis
Volume 2015, Article ID 367056, 8 pages
http://dx.doi.org/10.1155/2015/367056
Research Article

The Exponential Cubic B-Spline Algorithm for Korteweg-de Vries Equation

Department of Mathematics-Computer, Faculty of Science and Art, Eskişehir Osmangazi University, 26480 Eskişehir, Turkey

Received 16 September 2014; Revised 5 January 2015; Accepted 18 January 2015

Academic Editor: Yinnian He

Copyright © 2015 Ozlem Ersoy and Idris Dag. 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

The exponential cubic B-spline algorithm is presented to find the numerical solutions of the Korteweg-de Vries (KdV) equation. The problem is reduced to a system of algebraic equations, which is solved by using a variant of Thomas algorithm. Numerical experiments are carried out to demonstrate the efficiency of the suggested algorithm.