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Application of multistage homotopy perturbation method to the chaotic Genesio system


Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Momani, Shaher and Rahman, Md. Mahmudur (2012) Application of multistage homotopy perturbation method to the chaotic Genesio system. Abstract and Applied Analysis, 2012. art. no. 974293. pp. 1-10. ISSN 1085-3375; ESSN: 1687-0409


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.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1155/2012/974293
Publisher: Hindawi Publishing Corporation
Keywords: Genesio system; Chaos; Homotopy-perturbation method; Runge-Kutta method
Depositing User: Nur Farahin Ramli
Date Deposited: 25 Nov 2013 09:08
Last Modified: 19 Oct 2017 07:37
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2012/974293
URI: http://psasir.upm.edu.my/id/eprint/25281
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