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

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 in...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Hashim, Ishak, Abdul Majid, Zanariah
Format:	Conference or Workshop Item
Language:	English
Published:	2015
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/44812/ http://irep.iium.edu.my/44812/1/44812.pdf

id	iium-44812
recordtype	eprints
spelling	iium-448122018-10-31T08:42:45Z http://irep.iium.edu.my/44812/ A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Hashim, Ishak Abdul Majid, Zanariah QA Mathematics 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. 2015-01-13 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/44812/1/44812.pdf 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 (Unpublished)
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA Mathematics
spellingShingle	QA Mathematics Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Hashim, Ishak Abdul Majid, Zanariah A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems
description	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.
format	Conference or Workshop Item
author	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Hashim, Ishak Abdul Majid, Zanariah
author_facet	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Hashim, Ishak Abdul Majid, Zanariah
author_sort	Chowdhury, Md. Sazzad Hossien
title	A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems
title_short	A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems
title_full	A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems
title_fullStr	A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems
title_full_unstemmed	A reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems
title_sort	reliable numeric analytic technique for improving the solution of nonlinear chaotic and hyperchaotic problems
publishDate	2015
url	http://irep.iium.edu.my/44812/ http://irep.iium.edu.my/44812/1/44812.pdf
first_indexed	2023-09-18T21:03:43Z
last_indexed	2023-09-18T21:03:43Z
_version_	1777410793281683456

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

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