Solving variational problems by homotopy–perturbation method

Abdulaziz, O. and Hashim, Ishak and Chowdhury, Md. Sazzad Hossien (2008) Solving variational problems by homotopy–perturbation method. International Journal For Numerical Methods In Engineering , 75. pp. 7709-721. ISSN 1097-0207 (O) , 0029-5981

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Abstract

In this paper, we consider some problems in calculus of variations. Homotopy–perturbation method (HPM) is adopted to obtain approximate analytical solutions to variational problems. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions to variational problems. Copyright © 2008 John Wiley & Sons, Ltd.

Item Type:	Article (Journal)
Additional Information:	5807/6661
Uncontrolled Keywords:	calculus of variations; variational problems; Euler–Lagrange equation; homotopy– perturbation method
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 17:47
Last Modified:	02 Dec 2011 16:13
URI:	http://irep.iium.edu.my/id/eprint/6661

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