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: | Proceeding Paper |
| Language: | English |
| Published: |
2010
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| Online Access: | http://irep.iium.edu.my/10939/2/IRIIE-10-Dr.Sazzad-ID-72-Final_10939.pdf |
| _version_ | 1825645207132045312 |
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| author | Chowdhury, Md. Sazzad Hossien |
| author_facet | Chowdhury, Md. Sazzad Hossien |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| collection | IIUM |
| 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.
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| first_indexed | 2024-03-05T22:44:14Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:10939 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:44:14Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 Proceeding Paper 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. |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system |
| title | The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
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| title_full | The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
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| title_fullStr | The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
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| title_full_unstemmed | The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
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| title_short | The multistage homotopy-perturbation method: A powerful scheme for handling the Chaotic Lorenz system
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| title_sort | multistage homotopy perturbation method a powerful scheme for handling the chaotic lorenz system |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/10939/2/IRIIE-10-Dr.Sazzad-ID-72-Final_10939.pdf |
| work_keys_str_mv | AT chowdhurymdsazzadhossien themultistagehomotopyperturbationmethodapowerfulschemeforhandlingthechaoticlorenzsystem AT chowdhurymdsazzadhossien multistagehomotopyperturbationmethodapowerfulschemeforhandlingthechaoticlorenzsystem |