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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...

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Main Authors: Abbas, Zulkifly, Vahdati, Saeed, Ismail, Fudziah, Dizicheh, A. Karimi
Format: Article
Language:English
Published: Hikari 2010
Online Access:http://psasir.upm.edu.my/id/eprint/13229/1/Application%20of%20Homotopy%20Analysis%20Method.pdf
http://psasir.upm.edu.my/id/eprint/13229/
http://www.m-hikari.com/imf-2010/5-8-2010/index.html
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author Abbas, Zulkifly
Vahdati, Saeed
Ismail, Fudziah
Dizicheh, A. Karimi
spellingShingle Abbas, Zulkifly
Vahdati, Saeed
Ismail, Fudziah
Dizicheh, A. Karimi
Application of Homotopy Analaysis Method for linear integro-differential equations
author_facet Abbas, Zulkifly
Vahdati, Saeed
Ismail, Fudziah
Dizicheh, A. Karimi
author_sort Abbas, Zulkifly
title Application of Homotopy Analaysis Method for linear integro-differential equations
title_short 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_sort application of homotopy analaysis method for linear integro-differential equations
publisher Hikari
publishDate 2010
url http://psasir.upm.edu.my/id/eprint/13229/1/Application%20of%20Homotopy%20Analysis%20Method.pdf
http://psasir.upm.edu.my/id/eprint/13229/
http://www.m-hikari.com/imf-2010/5-8-2010/index.html
_version_ 1643825267953631232
score 13.160551

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