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

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

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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.

Item Type:	Article (Journal)
Additional Information:	5807/29640
Uncontrolled Keywords:	Homotopy-perturbation method · modified HPM · differential equations · integral equations
Subjects:	Q Science > QA Mathematics > QA76 Computer software
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	19 Apr 2013 16:27
Last Modified:	19 Apr 2013 16:27
URI:	http://irep.iium.edu.my/id/eprint/29640

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