Solutions of a class of singular second-order IVPs by homotopy-perturbation method

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2007) Solutions of a class of singular second-order IVPs by homotopy-perturbation method. Physics Letters A, 365. pp. 439-447. ISSN 0375-9601

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Abstract

In this Letter, solutions of a class of singular initial value problems (IVPs) in the second-order ordinary differential equations (ODEs) by homotopy-perturbation method (HPM) are presented. HPM yields solutions in convergent series forms with easily computable terms, and in some cases, yields exact solutions in one iteration. Comparisons with the exact solutions and the solutions obtained by the decomposition method show the potential of HPM in solving singular problems.

Item Type:	Article (Journal)
Additional Information:	5807/6655
Uncontrolled Keywords:	Homotopy-perturbation method; Lane–Emden equation; Singular IVPs
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:	30 Nov 2011 18:07
Last Modified:	02 Dec 2011 16:09
URI:	http://irep.iium.edu.my/id/eprint/6655

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