Application of Piecewise Successive Linearization Method for the Solutions of the Chen Chaotic System. (15th July 2012)

• Record Type: Journal Article
• Authors: Motsa, S. S.; Khan, Y.; Shateyi, S.
• Other Names: Lam Hak-Keung Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-07-15
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/258948
• Languages: English
• ISSNs: 1110-757X

Abstract

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.