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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主要な著者: Abbas, Zulkifly, Vahdati, Saeed, Ismail, Fudziah, Dizicheh, A. Karimi
フォーマット: 論文
言語:English
出版事項: Hikari 2010
オンライン・アクセス: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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要約: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.