Journal of Applied Mathematics
Volume 2012 (2012), Article ID 258948, 12 pages
http://dx.doi.org/10.1155/2012/258948
Research Article

Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System

S. S. Motsa,1 Y. Khan,2 and S. Shateyi3

1School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X01, Pietermaritzburg, Scottsville 3209, South Africa
2Department of Mathematics, Zhejiang University, Hangzhou 310027, China
3Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa

Received 18 April 2012; Revised 17 June 2012; Accepted 18 June 2012

Academic Editor: Hak-Keung Lam

Copyright © 2012 S. S. Motsa 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

This paper centres on the application of the new piecewise successive linearization method (PSLM) in solving the chaotic and nonchaotic Chen system. Numerical simulations are presented graphically and comparison is made between the PSLM and Runge-Kutta-based methods. The work shows that the proposed method provides good accuracy and can be easily extended to other dynamical systems including those that are chaotic in nature.