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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier, Inc.
2009
|
| Subjects: | |
| Online Access: | 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 |
| _version_ | 1848776709683281920 |
|---|---|
| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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 |
| first_indexed | 2025-11-14T14:34:24Z |
| format | Article |
| id | iium-6663 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:34:24Z |
| publishDate | 2009 |
| publisher | Elsevier, Inc. |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 |
| 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 |
| title | 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_short | 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 |
| topic | QA76 Computer software |
| 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 |