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


Citation

Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Ali, Sellami and Rahman, Md. Mahmudur (2012) A new application of multistage homotopy perturbation method to the chaotic Rössler system. In: 2nd International Conference on Fundamental and Applied Sciences (ICFAS2012), 12-14 June 2012, Kuala Lumpur Convention Centre, Kuala Lumpur. (pp. 507-511).

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4757523
Publisher: American Institute of Physics
Keywords: Chaotic Rössler system; Fourth-order Runge-Kutta method; Homotopy perturbation method; Multistage homotopy perturbation method
Depositing User: Nabilah Mustapa
Date Deposited: 24 Oct 2017 16:18
Last Modified: 24 Oct 2017 16:18
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4757523
URI: http://psasir.upm.edu.my/id/eprint/57633
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