The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system

In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons...

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Main Authors:	Chowdhury, Md. Sazzad Hossien, Hashim, Ishak, Momani, Shaher Mohammad
Format:	Article
Language:	English
Published:	Elsevier, Inc. 2009
Subjects:	QA76 Computer software
Online Access:	http://irep.iium.edu.my/6663/ http://irep.iium.edu.my/6663/ http://irep.iium.edu.my/6663/ http://irep.iium.edu.my/6663/1/The_multistage_homotopy-perturbation_method__A_powerful_scheme_for_handling_the_Lorenz_system.pdf

id	iium-6663
recordtype	eprints
spelling	iium-66632011-11-21T17:30:39Z http://irep.iium.edu.my/6663/ The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system Chowdhury, Md. Sazzad Hossien Hashim, Ishak Momani, Shaher Mohammad QA76 Computer software In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for the nonlinear systems of ODEs Elsevier, Inc. 2009-05-30 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6663/1/The_multistage_homotopy-perturbation_method__A_powerful_scheme_for_handling_the_Lorenz_system.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Momani, Shaher Mohammad (2009) The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system. Chaos, Solitons and Fractals, 40 (4). pp. 1929-1937. ISSN 0960-0779 http://www.sciencedirect.com/science/article/pii/S0960077907008211 doi:10.1016/j.chaos.2007.09.073
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	QA76 Computer software
spellingShingle	QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Momani, Shaher Mohammad The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
description	In this paper, a new reliable algorithm based on an adaptation of the standard homotopy-perturbation method (HPM) is presented. The HPM is treated as an algorithm in a sequence of intervals (i.e. time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons between the multistage homotopy-perturbation method (MHPM) and the classical fourth-order Runge–Kutta (RK4) method reveal that the new technique is a promising tool for the nonlinear systems of ODEs
format	Article
author	Chowdhury, Md. Sazzad Hossien Hashim, Ishak Momani, Shaher Mohammad
author_facet	Chowdhury, Md. Sazzad Hossien Hashim, Ishak Momani, Shaher Mohammad
author_sort	Chowdhury, Md. Sazzad Hossien
title	The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
title_short	The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
title_full	The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
title_fullStr	The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
title_full_unstemmed	The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system
title_sort	multistage homotopy-perturbation method: a powerful scheme for handling the lorenz system
publisher	Elsevier, Inc.
publishDate	2009
url	http://irep.iium.edu.my/6663/ http://irep.iium.edu.my/6663/ http://irep.iium.edu.my/6663/ http://irep.iium.edu.my/6663/1/The_multistage_homotopy-perturbation_method__A_powerful_scheme_for_handling_the_Lorenz_system.pdf
first_indexed	2023-09-18T20:15:45Z
last_indexed	2023-09-18T20:15:45Z
_version_	1777407775466323968

The multistage homotopy-perturbation method: a powerful scheme for handling the Lorenz system

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