Application of Homotopy Analaysis Method for linear integro-differential equations

Citation

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

Abstract

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.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science Institute for Mathematical Research
Publisher:	Hikari
Keywords:	Homotopy analysis method; Homotopy perturbation method; Sine-Cosine wavelets; CAS Wavelets; Integro-differential equations
Depositing User:	Nurul Ainie Mokhtar
Date Deposited:	18 Jan 2016 08:23
Last Modified:	18 Jan 2016 08:23
URI:	http://psasir.upm.edu.my/id/eprint/13229
Statistic Details:	View Download Statistic

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