Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs

Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Mt Aznam, Suazlan (2018) Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs. In: 14th World Conference on Applied Science, Engineering and Technology (WCASET-18), 21st-22nd November 2018, Kuala Lumpur, Malaysia.

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Abstract

In this study, a numeric hybrid technique combined with homotopy-perturbation method (HPM) is introduced to simulate a class of four dimensional hyperchaotic nonlinear initial value problems (IVPs). To check the stability and efficiency of the method, first we solve the selected problem by the fourth-order Runge-Kutta method (RK4) and then by both standard and hybrid homotopy-perturbation method. Finally, we compare the obtained results by the three methods. Based on the cases selected and investigated, the hybrid HPM is reliable and efficient than the standard HPM for extended time length. The studies done by this works suggest that the hybrid HPM is a powerful alternative approach for solving nonlinear hyperchaotic IVPs..

Item Type:	Conference or Workshop Item (Plenary Papers)
Additional Information:	5807/67999
Uncontrolled Keywords:	Standard Homotopy Perturbation Method, Multistage Homotopy Perturbation Method, Fourth-order Runge-Kutta, Hyperchaotic Lorenz system
Subjects:	Q Science > QA Mathematics > QA297 Numerical Analysis
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	05 Dec 2018 15:26
Last Modified:	16 Jul 2019 10:06
URI:	http://irep.iium.edu.my/id/eprint/67999

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