Application of multistage homotopy perturbation method to the chaotic Genesio System

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Momani, Shaher Mohammad and Rahman, M. M. (2012) Application of multistage homotopy perturbation method to the chaotic Genesio System. Abstract and Applied Analysis, 2012 (974293). pp. 1-10. ISSN 1085-3375 (Print) 1687-0409 (Online)

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Abstract

Finding accurate solution of chaotic system by using efficient existing numerical methods is very hard for its complex dynamical behaviors. In this paper, the multistage homotopy-perturbation method MHPM is applied to the Chaotic Genesio system. The MHPM is a simple reliable modification based on an adaptation of the standard homotopy-perturbation method HPM. The HPM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions to the Chaotic Genesio system. Numerical comparisons between the MHPM and the classical fourth-order Runge-Kutta �RK4� solutions are made. The results reveal that the new technique is a promising tool for the nonlinear chaotic systems of ordinary differential equations.

Item Type:	Article (Journal)
Additional Information:	5807/28222
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	07 Jan 2013 13:33
Last Modified:	14 Feb 2013 01:40
URI:	http://irep.iium.edu.my/id/eprint/28222

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