Application of Homotopy Analaysis Method for linear integro-differential equations
This paper presents the application of the Homotopy Analysis Method (HAM) as a numerical solution to linear integro-differential equation. The HAM contains the auxiliary parameter h, that provides a powerful tool to analyze strongly linear and nonlinear problems. Examples are provided to demonstrat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Hikari
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/13229/ http://psasir.upm.edu.my/id/eprint/13229/1/Application%20of%20Homotopy%20Analysis%20Method.pdf |
| _version_ | 1848842055694942208 |
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| author | Abbas, Zulkifly Vahdati, Saeed Ismail, Fudziah Dizicheh, A. Karimi |
| author_facet | Abbas, Zulkifly Vahdati, Saeed Ismail, Fudziah Dizicheh, A. Karimi |
| author_sort | Abbas, Zulkifly |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper presents the application of the Homotopy Analysis Method (HAM) as a numerical solution to linear integro-differential equation. The HAM contains the auxiliary parameter h, that provides a powerful tool to analyze strongly linear and nonlinear problems. Examples are
provided to demonstrate the advantages of HAM over the homotopy perturbation method (HPM), sine-cosine wavelets and CAS wavelets methods. |
| first_indexed | 2025-11-15T07:53:03Z |
| format | Article |
| id | upm-13229 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:53:03Z |
| publishDate | 2010 |
| publisher | Hikari |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-132292016-01-18T08:23:39Z http://psasir.upm.edu.my/id/eprint/13229/ Application of Homotopy Analaysis Method for linear integro-differential equations Abbas, Zulkifly Vahdati, Saeed Ismail, Fudziah Dizicheh, A. Karimi This paper presents the application of the Homotopy Analysis Method (HAM) as a numerical solution to linear integro-differential equation. The HAM contains the auxiliary parameter h, that provides a powerful tool to analyze strongly linear and nonlinear problems. Examples are provided to demonstrate the advantages of HAM over the homotopy perturbation method (HPM), sine-cosine wavelets and CAS wavelets methods. Hikari 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/13229/1/Application%20of%20Homotopy%20Analysis%20Method.pdf Abbas, Zulkifly and Vahdati, Saeed and Ismail, Fudziah and Dizicheh, A. Karimi (2010) Application of Homotopy Analaysis Method for linear integro-differential equations. International Mathematical Forum, 5 (5-8). pp. 237-249. ISSN 1312-7594; ESSN: 1314-7536 http://www.m-hikari.com/imf-2010/5-8-2010/index.html |
| spellingShingle | Abbas, Zulkifly Vahdati, Saeed Ismail, Fudziah Dizicheh, A. Karimi Application of Homotopy Analaysis Method for linear integro-differential equations |
| title | Application of Homotopy Analaysis Method for linear integro-differential equations |
| title_full | Application of Homotopy Analaysis Method for linear integro-differential equations |
| title_fullStr | Application of Homotopy Analaysis Method for linear integro-differential equations |
| title_full_unstemmed | Application of Homotopy Analaysis Method for linear integro-differential equations |
| title_short | Application of Homotopy Analaysis Method for linear integro-differential equations |
| title_sort | application of homotopy analaysis method for linear integro-differential equations |
| url | http://psasir.upm.edu.my/id/eprint/13229/ http://psasir.upm.edu.my/id/eprint/13229/ http://psasir.upm.edu.my/id/eprint/13229/1/Application%20of%20Homotopy%20Analysis%20Method.pdf |