An accurate analytic solution for differential and integral equations by modified homotopy perturbation method

Citation

Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Ali, Selami and Rahman, Md. Mahmudur (2013) An accurate analytic solution for differential and integral equations by modified homotopy perturbation method. Middle-East Journal of Scientific Research, 13 (spec.). pp. 50-58. ISSN 1990-9233

Abstract

In this paper, the new modified Homotopy Perturbation Method (HPM) is applied for analytical treatment of differential equations and integral equations. The new modified HPM yields an analytical solution in terms of a rapidly convergent infinite power series with easily computable terms. The efficiency of the new modified technique is examined by several illustrative examples. In all cases of differential and integral equations, the new modified HPM yields the exact solutions in minimal iterations only.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.5829/idosi.mejsr.2013.13.mae.99916
Publisher:	IDOSI Publications
Keywords:	Differential equations; Homotopy-perturbation method; Integral equations; Modified HPM
Depositing User:	Umikalthom Abdullah
Date Deposited:	30 May 2014 03:38
Last Modified:	12 Feb 2016 07:00
URI:	http://psasir.upm.edu.my/id/eprint/30001
Statistic Details:	View Download Statistic

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