Analytic solutions for the Stephen's inverse problem with local boundary conditions including Elliptic and hyperbolic equations
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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.
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Journal title
volume 39 issue 5
pages 855- 864
publication date 2013-10-01
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