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A new application of multistage homotopy perturbation method to the chaotic Rössler system

Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Sellami , Ali and Rahman, M. M. (2012) A new application of multistage homotopy perturbation method to the chaotic Rössler system. AIP Conference Proceedings , 1482. pp. 507-511. ISSN 0094-243X (P), 1551-7616 (O)

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Abstract

In this paper, we present a numerical scheme based on an adaptation of the standard homotopy-perturbation method (HPM) is applied to the Chaotic Rössler system. The standard HPM is converted into a hybrid numeric-analytic method called the multistage HPM (MHPM). Comparisons with the fourth-order Runge-Kutta method (RK4) and standard HPM show that the MHPM is a reliable method for nonlinear equations.

Item Type: Article (Journal)
Additional Information: 5807/26442 (ISBN: 9780735410947)
Uncontrolled Keywords: chaos, nonlinear equations, Runge-Kutta methods, multistage homotopy pertubation method
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering > Department of Mechanical Engineering
Kulliyyah of Engineering > Department of Science
Depositing User: Dr Ali Sellami
Date Deposited: 19 Nov 2012 15:15
Last Modified: 19 Nov 2012 15:18
URI: http://irep.iium.edu.my/id/eprint/26442

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