A new reliable algorithm for analytical treatment of differential and integral equations

Chowdhury, Md. Sazzad Hossien and Razali, NurIsnida and Ali, Sellami and Rahman, Mohammad Mustafizur (2013) A new reliable algorithm for analytical treatment of differential and integral equations. In: IIUM Research, Innovation & Invention Exhibition (IRIIE 2013), 19-20 February 2010, Kuala Lumpur.

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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:	Conference or Workshop Item (Poster)
Additional Information:	5807/29529
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 Mechanical Engineering Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Md Sazzad Hossien Chowdhury
Date Deposited:	15 Oct 2014 10:13
Last Modified:	15 Oct 2014 10:13
URI:	http://irep.iium.edu.my/id/eprint/29529

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