Mathematical Problems in Engineering
Volume 2007 (2007), Article ID 10120, 11 pages
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

Academic Editor: T. Zolezzi

Copyright © 2007 Reza Memarbashi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.