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Abstract and Applied Analysis
Volume 2014, Article ID 640194, 9 pages
http://dx.doi.org/10.1155/2014/640194
Research Article

A Compact-Type CIP Method for General Korteweg-de Vries Equation

1School of Electric Power Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China
2School of Mathematical Sciences, Huaibei Normal University, Huaibei, Anhui 235000, China
3Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China

Received 26 April 2014; Revised 13 July 2014; Accepted 15 July 2014; Published 3 August 2014

Academic Editor: Yushun Wang

Copyright © 2014 YuFeng Shi et al. 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 proposed a hybrid compact-CIP scheme to solve the Korteweg-de Vries equation. The algorithm is based on classical constrained interpolation profile (CIP) method, which is coupled with high-order compact scheme for the third derivatives in Korteweg-de Vries equation. Several numerical examples are presented to confirm the high resolution of the proposed scheme.