The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic 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 (ie time step) for finding accurate approximate solutions to the famous Lorenz system. Numerical comparisons...
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| Format: | Conference or Workshop Item |
| Language: | English |
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2010
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| Online Access: | http://irep.iium.edu.my/10939/ http://irep.iium.edu.my/10939/2/IRIIE-10-Dr.Sazzad-ID-72-Final_10939.pdf |
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eprints |
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iium-109392011-12-19T11:33:02Z http://irep.iium.edu.my/10939/ The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system Chowdhury, Md. Sazzad Hossien 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 (ie 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 reveals that the new technique is a promising tool for the nonlinear systems of ODEs. 2010-01-26 Conference or Workshop Item NonPeerReviewed application/pdf en http://irep.iium.edu.my/10939/2/IRIIE-10-Dr.Sazzad-ID-72-Final_10939.pdf Chowdhury, Md. Sazzad Hossien (2010) The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system. In: IIUM Research, Invention and Innovation Exhibition (IRIIE 2010), 26-27 January 2010, Culture Activity Centre, IIUM, Gombak. |
| 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 The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic 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 (ie 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 reveals that the new technique is a promising tool for the nonlinear systems of ODEs.
|
| format |
Conference or Workshop Item |
| author |
Chowdhury, Md. Sazzad Hossien |
| author_facet |
Chowdhury, Md. Sazzad Hossien |
| author_sort |
Chowdhury, Md. Sazzad Hossien |
| title |
The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
|
| title_short |
The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
|
| title_full |
The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
|
| title_fullStr |
The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
|
| title_full_unstemmed |
The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
|
| title_sort |
multistage homotopy-perturbation method: a powerful scheme for handling the chaotic lorenz system |
| publishDate |
2010 |
| url |
http://irep.iium.edu.my/10939/ http://irep.iium.edu.my/10939/2/IRIIE-10-Dr.Sazzad-ID-72-Final_10939.pdf |
| first_indexed |
2023-09-18T20:20:18Z |
| last_indexed |
2023-09-18T20:20:18Z |
| _version_ |
1777408061926801408 |