A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
In this study, we applied a new algorithm based on Homotopy Perturbation Method (HPM) to evaluate the temperature distribution of a straight rectangular fin with temperature dependent surface heat flux for all possible types of heat transfer. The local heat transfer coefficient is considered to vary...
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| Format: | Article |
| Language: | English |
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Asian Network for Scientific Information
2011
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| Online Access: | http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/1/A_comparison_between_the_modified_homotopy_perturbation_method_and_Adomian_decomposition_method_for_solving_nonlinear_heat_transfer_equations.pdf |
| _version_ | 1848775953764843520 |
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| author | Chowdhury, Md. Sazzad Hossien |
| author_facet | Chowdhury, Md. Sazzad Hossien |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In this study, we applied a new algorithm based on Homotopy Perturbation Method (HPM) to evaluate the temperature distribution of a straight rectangular fin with temperature dependent surface heat flux for all possible types of heat transfer. The local heat transfer coefficient is considered to vary with a power-law function of temperature. The time interval is divided into several subintervals and the HPM solutions are applied successively over these reduced time intervals. Comparisons between the 13-term Adomian decomposition solution and 6-term modified HPM solution are made. Comparison of the results obtained by modified HPM with that obtained by the Adomian Decomposition Method (ADM) reveals that the obtained modified HPM solution is quite accurate when only the six terms are used in the series expansion. |
| first_indexed | 2025-11-14T14:22:23Z |
| format | Article |
| id | iium-2063 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:22:23Z |
| publishDate | 2011 |
| publisher | Asian Network for Scientific Information |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-20632011-12-29T00:15:32Z http://irep.iium.edu.my/2063/ A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations Chowdhury, Md. Sazzad Hossien QA76 Computer software In this study, we applied a new algorithm based on Homotopy Perturbation Method (HPM) to evaluate the temperature distribution of a straight rectangular fin with temperature dependent surface heat flux for all possible types of heat transfer. The local heat transfer coefficient is considered to vary with a power-law function of temperature. The time interval is divided into several subintervals and the HPM solutions are applied successively over these reduced time intervals. Comparisons between the 13-term Adomian decomposition solution and 6-term modified HPM solution are made. Comparison of the results obtained by modified HPM with that obtained by the Adomian Decomposition Method (ADM) reveals that the obtained modified HPM solution is quite accurate when only the six terms are used in the series expansion. Asian Network for Scientific Information 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/2063/1/A_comparison_between_the_modified_homotopy_perturbation_method_and_Adomian_decomposition_method_for_solving_nonlinear_heat_transfer_equations.pdf Chowdhury, Md. Sazzad Hossien (2011) A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations. Journal of Applied Sciences, 11 (7). pp. 1416-1420. ISSN 1812-5662 (O), 1812-5654 (P) http://scialert.net/fulltext/?doi=jas.2011.1416.1420&org=11 DOI: 10.3923/jas.2011.1416.1420 |
| spellingShingle | QA76 Computer software Chowdhury, Md. Sazzad Hossien A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations |
| title | A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
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| title_full | A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
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| title_fullStr | A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
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| title_full_unstemmed | A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
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| title_short | A comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations
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| title_sort | comparison between the modified homotopy perturbation method and adomian decomposition method for solving nonlinear heat transfer equations |
| topic | QA76 Computer software |
| url | http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/ http://irep.iium.edu.my/2063/1/A_comparison_between_the_modified_homotopy_perturbation_method_and_Adomian_decomposition_method_for_solving_nonlinear_heat_transfer_equations.pdf |