Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 145608, 16 pages
http://dx.doi.org/10.1155/2011/145608
Research Article

Inverse Problem with Respect to Domain and Artificial Neural Network Algorithm for the Solution

Kambiz Majidzadeh1,2

1Institute of Applied Mathematics, Baku State University, Baku 1148, Azerbaijan
2Institute of Information Technology, ANAS, Baku 1141, Azerbaijan

Received 25 April 2011; Accepted 21 June 2011

Academic Editor: Gradimir V. Milovanović

Copyright © 2011 Kambiz Majidzadeh. 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.

Abstract

We consider the inverse problem with respect to domain. We suggested a new approach for reducing the inverse problem for a domain to an equivalent problem in a variational setting and gave an effective solution algorithm for solving such problems. In order to solve boundary problem, the artificial neural network is used in each step of the iteration.