Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method
In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic...
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Institute of Research and Journals
2017
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| Online Access: | http://irep.iium.edu.my/67380/ http://irep.iium.edu.my/67380/1/International%20Journal%20of%20Management%20and%20Applied%20Science-%20ISSN%20%202394-7926%20.pdf |
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| author | Chowdhury, Md. Sazzad Hossien Hashim, I. Hosen, Md. Alal |
| author_facet | Chowdhury, Md. Sazzad Hossien Hashim, I. Hosen, Md. Alal |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation method (HPM). The MHPM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) demonstrate the promising capability of the MHPM for solving linear and non-linear stiff systems of ordinary differential equations. |
| first_indexed | 2025-11-14T17:13:58Z |
| format | Article |
| id | iium-67380 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T17:13:58Z |
| publishDate | 2017 |
| publisher | Institute of Research and Journals |
| recordtype | eprints |
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| spelling | iium-673802018-11-09T08:30:22Z http://irep.iium.edu.my/67380/ Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method Chowdhury, Md. Sazzad Hossien Hashim, I. Hosen, Md. Alal QA297 Numerical Analysis In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the multi-stage homotopy perturbation method (MHPM). The MHPM is a technique adapted from the standard homotopy perturbation method (HPM) where standard HPM is converted into a hybrid numeric-analytic method called multistage homotopy perturbation method (HPM). The MHPM is tested for several examples. Comparisons with an explicit Runge-Kutta-type method (RK) demonstrate the promising capability of the MHPM for solving linear and non-linear stiff systems of ordinary differential equations. Institute of Research and Journals 2017-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/67380/1/International%20Journal%20of%20Management%20and%20Applied%20Science-%20ISSN%20%202394-7926%20.pdf Chowdhury, Md. Sazzad Hossien and Hashim, I. and Hosen, Md. Alal (2017) Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method. International Journal of Management and Applied Science, 3 (2). pp. 59-62. ISSN 2394-7926 http://www.iraj.in/journal/journal_file/journal_pdf/14-348-149456569159-62.pdf |
| spellingShingle | QA297 Numerical Analysis Chowdhury, Md. Sazzad Hossien Hashim, I. Hosen, Md. Alal Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_full | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_fullStr | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_full_unstemmed | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_short | Solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| title_sort | solving linear and non-linear stiff system of ordinary differential equations by multi stage homotopy perturbation method |
| topic | QA297 Numerical Analysis |
| url | http://irep.iium.edu.my/67380/ http://irep.iium.edu.my/67380/ http://irep.iium.edu.my/67380/1/International%20Journal%20of%20Management%20and%20Applied%20Science-%20ISSN%20%202394-7926%20.pdf |