Homotopy perturbation method for solving perturbation problems
In this paper, the application of homotopy perturbation method (HPM) is extended to the perturbation problems. The HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the HPM is examined by several illustrative exam...
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| Format: | Proceeding Paper |
| Language: | English English |
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2014
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| Online Access: | http://irep.iium.edu.my/38619/ http://irep.iium.edu.my/38619/2/Program_Schedule_of_prsented_papers.pdf http://irep.iium.edu.my/38619/4/Sazzad_HPM.pdf |
| _version_ | 1848781638807322624 |
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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 paper, the application of homotopy perturbation method (HPM) is extended to the perturbation problems. The HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the HPM is examined by several illustrative examples. Comparisons with the solutions obtained by the Adomian decomposition method (ADM) show the efficiency of HPM in solving perturbation problems.
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| first_indexed | 2025-11-14T15:52:45Z |
| format | Proceeding Paper |
| id | iium-38619 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:52:45Z |
| publishDate | 2014 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-386192014-10-10T07:47:45Z http://irep.iium.edu.my/38619/ Homotopy perturbation method for solving perturbation problems Chowdhury, Md. Sazzad Hossien QA Mathematics In this paper, the application of homotopy perturbation method (HPM) is extended to the perturbation problems. The HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the HPM is examined by several illustrative examples. Comparisons with the solutions obtained by the Adomian decomposition method (ADM) show the efficiency of HPM in solving perturbation problems. 2014 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/38619/2/Program_Schedule_of_prsented_papers.pdf application/pdf en http://irep.iium.edu.my/38619/4/Sazzad_HPM.pdf Chowdhury, Md. Sazzad Hossien (2014) Homotopy perturbation method for solving perturbation problems. In: 3rd International Conference on Mathematical Applications in Engineering (ICMAE'14), 23-25 Sept. 2014, Sunway Putra Hotel, Kuala Lumpur. (Unpublished) http://www.iium.edu.my/icmae/14/ |
| spellingShingle | QA Mathematics Chowdhury, Md. Sazzad Hossien Homotopy perturbation method for solving perturbation problems |
| title | Homotopy perturbation method for solving perturbation problems |
| title_full | Homotopy perturbation method for solving perturbation problems |
| title_fullStr | Homotopy perturbation method for solving perturbation problems |
| title_full_unstemmed | Homotopy perturbation method for solving perturbation problems |
| title_short | Homotopy perturbation method for solving perturbation problems |
| title_sort | homotopy perturbation method for solving perturbation problems |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/38619/ http://irep.iium.edu.my/38619/ http://irep.iium.edu.my/38619/2/Program_Schedule_of_prsented_papers.pdf http://irep.iium.edu.my/38619/4/Sazzad_HPM.pdf |