The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system

Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Asrar, Waqar and Rahman, Mohammad Mustafizur (2015) The multistage homotopy perturbation method for solving chaotic and hyperchaotic Lü system. Abstract and Applied Analysis, 2015. pp. 398027-1. ISSN 1687-0409 (O), 1085-3375 (P) E-ISSN 1687-0409

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Abstract

In this paper, the multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü system. MHPM is a technique adapted from the standard homotopy-perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. To ensure the precision of the technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM.The results show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems

Item Type:	Article (Journal)
Additional Information:	5807/38614
Uncontrolled Keywords:	Standard Homotopy Perturbation Method; Multistage Homotopy Perturbation Method; Fourth-order Runge-Kutta; Chaotic Lu system; Hyperchaotic Lu system.
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	08 Oct 2014 09:08
Last Modified:	01 Nov 2017 16:14
URI:	http://irep.iium.edu.my/id/eprint/38614

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