Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
In this paper, the homotopy analysis method (HAM) is compared with the homotopy-perturbation method (HPM) and the Adomian decomposition method (ADM) to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. Comparisons of the resu...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2009
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/6647/ http://irep.iium.edu.my/6647/1/Comparison_of_homotopy_analysis_method_and_homotopy-perturbation_method_for_purely_nonlinear_fin-.pdf |
| _version_ | 1848776705604321280 |
|---|---|
| author | Chowdhury, Md. Sazzad Hossien Hashim, Ishak Abdulaziz, O. |
| author_facet | Chowdhury, Md. Sazzad Hossien Hashim, Ishak Abdulaziz, O. |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, the homotopy analysis method (HAM) is compared with the homotopy-perturbation method (HPM) and the Adomian decomposition method (ADM) to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. Comparisons of the results obtained by the HAM with that obtained by the ADM and HPM suggest that both the HPM and ADM are special case of the HAM. |
| first_indexed | 2025-11-14T14:34:20Z |
| format | Article |
| id | iium-6647 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:34:20Z |
| publishDate | 2009 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-66472014-09-03T09:17:38Z http://irep.iium.edu.my/6647/ Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems Chowdhury, Md. Sazzad Hossien Hashim, Ishak Abdulaziz, O. QA76 Computer software In this paper, the homotopy analysis method (HAM) is compared with the homotopy-perturbation method (HPM) and the Adomian decomposition method (ADM) to determine the temperature distribution of a straight rectangular fin with power-law temperature dependent surface heat flux. Comparisons of the results obtained by the HAM with that obtained by the ADM and HPM suggest that both the HPM and ADM are special case of the HAM. Elsevier 2009-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6647/1/Comparison_of_homotopy_analysis_method_and_homotopy-perturbation_method_for_purely_nonlinear_fin-.pdf Chowdhury, Md. Sazzad Hossien and Hashim, Ishak and Abdulaziz, O. (2009) Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems. Communications in Nonlinear Science and Numerical Simulation, 14 (2). pp. 371-378. ISSN 1007-5704 http://www.sciencedirect.com/science/article/pii/S1007570407002444 doi:10.1016/j.cnsns.2007.09.005 |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien Hashim, Ishak Abdulaziz, O. Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems |
| title | Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems |
| title_full | Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems |
| title_fullStr | Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems |
| title_full_unstemmed | Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems |
| title_short | Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems |
| title_sort | comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/6647/ http://irep.iium.edu.my/6647/ http://irep.iium.edu.my/6647/ http://irep.iium.edu.my/6647/1/Comparison_of_homotopy_analysis_method_and_homotopy-perturbation_method_for_purely_nonlinear_fin-.pdf |