Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Analytic solutions for the Stephen's inverse problem with local boundary conditions including Elliptic and hyperbolic equations

Document Type : Research Paper

Authors
Azarbaijan university of Tarbiat Moallem
Abstract
In this paper, two inverse problems of Stephen kind with local (Dirichlet) boundary conditions are investigated. In the first problem only a part of boundary is unknown and in the second problem, the whole of boundary is unknown. For the both of problems, at first, analytic expressions for unknown boundary are presented, then by using these analytic expressions for unknown boundaries and boundary conditions of main problem, analytic solution of unknown function of main inverse problem is calculated.
Keywords
Subjects

Volume 39, Issue 5 - Serial Number 5
October 2013
Pages 855-864

  • Receive Date 25 December 2011
  • Revise Date 16 June 2012
  • Accept Date 01 July 2012