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

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 fourt...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Mt Aznam, Suazlan
Format:	Conference or Workshop Item
Language:	English
Published:	Institute For Engineering Research and Publications (IFERP) 2018
Subjects:	QA297 Numerical Analysis
Online Access:	http://irep.iium.edu.my/67999/ http://irep.iium.edu.my/67999/7/67999%20%20Application%20of%20homotopy%20perturbation%20method.pdf

id	iium-67999
recordtype	eprints
spelling	iium-679992019-07-16T02:06:50Z http://irep.iium.edu.my/67999/ Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Mt Aznam, Suazlan QA297 Numerical Analysis 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.. Institute For Engineering Research and Publications (IFERP) 2018 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/67999/7/67999%20%20Application%20of%20homotopy%20perturbation%20method.pdf 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.
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA297 Numerical Analysis
spellingShingle	QA297 Numerical Analysis Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Mt Aznam, Suazlan Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs
description	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..
format	Conference or Workshop Item
author	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Mt Aznam, Suazlan
author_facet	Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Mt Aznam, Suazlan
author_sort	Chowdhury, Md. Sazzad Hossien
title	Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs
title_short	Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs
title_full	Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs
title_fullStr	Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs
title_full_unstemmed	Application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic ODEs
title_sort	application of homotopy perturbation method for numeric–analytic solution of system of hyperchaotic odes
publisher	Institute For Engineering Research and Publications (IFERP)
publishDate	2018
url	http://irep.iium.edu.my/67999/ http://irep.iium.edu.my/67999/7/67999%20%20Application%20of%20homotopy%20perturbation%20method.pdf
first_indexed	2023-09-18T21:36:32Z
last_indexed	2023-09-18T21:36:32Z
_version_	1777412858680705024

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

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