Analytic treatment of differential equations by modified homotopy perturbation method
In this paper, the modified homotopy perturbation method is applied for analytical treatment of differential equations. The modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the modified technique is exam...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
Faculty of Engineering, International Islamic University Malaysia (IIUM)
2012
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| Online Access: | http://psasir.upm.edu.my/id/eprint/19265/ http://psasir.upm.edu.my/id/eprint/19265/1/19265.pdf |
| _version_ | 1848843680055558144 |
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| author | Chowdhury, M.S.H. Razali, Nur Isnida Ali, Selami Rahman, Md Mahmudur |
| author_facet | Chowdhury, M.S.H. Razali, Nur Isnida Ali, Selami Rahman, Md Mahmudur |
| author_sort | Chowdhury, M.S.H. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | In this paper, the modified homotopy perturbation method is applied for analytical treatment of differential equations. The modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential equations, the modified HPM yields the exact
solutions in two iterations only. |
| first_indexed | 2025-11-15T08:18:52Z |
| format | Conference or Workshop Item |
| id | upm-19265 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T08:18:52Z |
| publishDate | 2012 |
| publisher | Faculty of Engineering, International Islamic University Malaysia (IIUM) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-192652015-08-14T09:03:27Z http://psasir.upm.edu.my/id/eprint/19265/ Analytic treatment of differential equations by modified homotopy perturbation method Chowdhury, M.S.H. Razali, Nur Isnida Ali, Selami Rahman, Md Mahmudur In this paper, the modified homotopy perturbation method is applied for analytical treatment of differential equations. The modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the modified technique is examined by several illustrative examples. In all cases of differential equations, the modified HPM yields the exact solutions in two iterations only. Faculty of Engineering, International Islamic University Malaysia (IIUM) 2012-08 Conference or Workshop Item NonPeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/19265/1/19265.pdf Chowdhury, M.S.H. and Razali, Nur Isnida and Ali, Selami and Rahman, Md Mahmudur (2012) Analytic treatment of differential equations by modified homotopy perturbation method. In: 2nd International Conference on Mathematical Applications in Engineering (ICMAE2012), 3-5 July 2012, Kuala Lumpur, Malaysia. (pp. 775-781). |
| spellingShingle | Chowdhury, M.S.H. Razali, Nur Isnida Ali, Selami Rahman, Md Mahmudur Analytic treatment of differential equations by modified homotopy perturbation method |
| title | Analytic treatment of differential equations by modified homotopy perturbation method |
| title_full | Analytic treatment of differential equations by modified homotopy perturbation method |
| title_fullStr | Analytic treatment of differential equations by modified homotopy perturbation method |
| title_full_unstemmed | Analytic treatment of differential equations by modified homotopy perturbation method |
| title_short | Analytic treatment of differential equations by modified homotopy perturbation method |
| title_sort | analytic treatment of differential equations by modified homotopy perturbation method |
| url | http://psasir.upm.edu.my/id/eprint/19265/ http://psasir.upm.edu.my/id/eprint/19265/1/19265.pdf |