A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems

Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Hashim, Ishak and Abdul Majid, Zanariah (2015) A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems. In: Kolokium Race (Research Acculturation Collaborative Effort) "RACE 2015", 13th-14th Jan. 2015, Akademi Kepimpinan Pengajian Tinggi (AKEPT), Bandar Enstek, Negeri Sembilan, Malaysia. (Unpublished)

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Abstract

In this study, the multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic Lü system and hyperchaotic Chen and Lorenz 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 MHPM technique applied in this work, the results are compared with a fourth-order Runge-Kutta method and the standard HPM. The MHPM is tested for several examples. Numerical comparisons demonstrate the limitations of HPM and promising capability of the MHPM for solving chaotic and hyperchaotic systems. The results obtained with minimum amount of computational work show that the MHPM is an efficient and powerful technique in solving both chaotic and hyperchaotic systems.

Item Type:	Conference or Workshop Item (Poster)
Additional Information:	5807/44812
Uncontrolled Keywords:	multistage homotopy-perturbation method (MHPM), nonlinear chaotic and hyperchaotic problems
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Mechanical Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	01 Oct 2015 11:46
Last Modified:	31 Oct 2018 16:42
URI:	http://irep.iium.edu.my/id/eprint/44812

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