Mathematical Problems in Engineering 
Volume 2007 (2007), Article ID 10120, 11 pages
doi:10.1155/2007/10120
Research Article

Variational Problems with Moving Boundaries Using Decomposition Method

Reza Memarbashi

Department of Mathematics, Faculty of Sciences, Semnan University, P.O. Box 35195-363, Semnan, Iran

Received 12 December 2006; Revised 23 April 2007; Accepted 25 July 2007

Recommended by T. Zolezzi

Abstract

The aim of this paper is to present a numerical method for solving variational problems with moving boundaries. We apply Adomian decomposition method on the Euler-Lagrange equation with boundary conditions that yield from transversality conditions and natural boundary conditions.