A modified homotopy perturbation method for purely nonlinear fin-type problems
In this paper, a modifcation of the homotopy-perturbation method (HPM) is pre-sented to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. The dimensionless nonlinear boundary-value problem is solved analytically by the modif...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Pushpa Publishing House
2007
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6635/ http://irep.iium.edu.my/6635/3/A_modified_homotopy.pdf |
| _version_ | 1848776702634754048 |
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| author | Chowdhury, Md. Sazzad Hossien Hashim, Ishak |
| author_facet | Chowdhury, Md. Sazzad Hossien Hashim, Ishak |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, a modifcation of the homotopy-perturbation method (HPM) is pre-sented to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. The dimensionless nonlinear boundary-value problem is solved analytically by the modified homotopy-pertur-bation method (MHPM). Comparisons of the results obtained by MHPM with that
obtained by the Adomian decomposition method (ADM) and the available exact solutions suggest that the MHPM with its simplicity can be a useful tool for many engineering applications. |
| first_indexed | 2025-11-14T14:34:18Z |
| format | Article |
| id | iium-6635 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:34:18Z |
| publishDate | 2007 |
| publisher | Pushpa Publishing House |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-66352013-08-01T02:43:04Z http://irep.iium.edu.my/6635/ A modified homotopy perturbation method for purely nonlinear fin-type problems Chowdhury, Md. Sazzad Hossien Hashim, Ishak QA76 Computer software In this paper, a modifcation of the homotopy-perturbation method (HPM) is pre-sented to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. The dimensionless nonlinear boundary-value problem is solved analytically by the modified homotopy-pertur-bation method (MHPM). Comparisons of the results obtained by MHPM with that obtained by the Adomian decomposition method (ADM) and the available exact solutions suggest that the MHPM with its simplicity can be a useful tool for many engineering applications. Pushpa Publishing House 2007 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6635/3/A_modified_homotopy.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2007) A modified homotopy perturbation method for purely nonlinear fin-type problems. JP Journal of heat and mass transfer, 1 (3). pp. 285-296. ISSN 0973-5763 http://www.pphmj.com/references/3033.htm |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak A modified homotopy perturbation method for purely nonlinear fin-type problems |
| title | A modified homotopy perturbation method for purely nonlinear fin-type problems |
| title_full | A modified homotopy perturbation method for purely nonlinear fin-type problems |
| title_fullStr | A modified homotopy perturbation method for purely nonlinear fin-type problems |
| title_full_unstemmed | A modified homotopy perturbation method for purely nonlinear fin-type problems |
| title_short | A modified homotopy perturbation method for purely nonlinear fin-type problems |
| title_sort | modified homotopy perturbation method for purely nonlinear fin-type problems |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/6635/ http://irep.iium.edu.my/6635/ http://irep.iium.edu.my/6635/3/A_modified_homotopy.pdf |