Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method

Chowdhury, Md. Sazzad Hossien and Hashim, Ishak (2007) Solutions of time-dependent Emden–Fowler type equations by homotopy-perturbation method. Physics Letters A, 368. pp. 305-313. ISSN 0375-9601

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Abstract

In this Letter, we apply the homotopy-perturbation method (HPM) to obtain approximate analytical solutions of the time-dependent Emden– Fowler type equations. We also present a reliable new algorithm based on HPM to overcome the difficulty of the singular point at x = 0. The analysis is accompanied by some linear and nonlinear time-dependent singular initial value problems. The results prove that HPM is very effective and simple.

Item Type:	Article (Journal)
Additional Information:	5807/6659
Uncontrolled Keywords:	Homotopy-perturbation method; Time-dependent Emden–Fowler equation; Time-dependent Lane–Emden equation; Wave-type equation
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 18:03
Last Modified:	19 Jun 2013 16:37
URI:	http://irep.iium.edu.my/id/eprint/6659

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