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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/6663/1/The_multistage_homotopy-perturbation_method__A_powerful_scheme_for_handling_the_Lorenz_system.pdf
http://irep.iium.edu.my/6663/
http://www.sciencedirect.com/science/article/pii/S0960077907008211
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spelling my.iium.irep.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 REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
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/6663/1/The_multistage_homotopy-perturbation_method__A_powerful_scheme_for_handling_the_Lorenz_system.pdf
http://irep.iium.edu.my/6663/
http://www.sciencedirect.com/science/article/pii/S0960077907008211
_version_ 1643605785712787456
score 13.18916

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