Charyyar Ashyralyyev, Yasar Akkan
Abstract:
This article studies the numerical solution of inverse problems
for the multidimensional elliptic equation with Dirichlet-Neumann
boundary conditions and Neumann type overdetermination.
We present first and second order accuracy difference schemes.
The stability and almost coercive stability inequalities for the solution
are obtained. Numerical examples with explanation on the implementation
illustrate the theoretical results.
Submitted June 23, 2015. Published July 13, 2015.
Math Subject Classifications: 35N25, 39A14, 39A30, 65J22.
Key Words: Inverse elliptic problem; stability; almost coercive stability;
overdetermination; difference scheme.
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Charyyar Ashyralyyev Department of Mathematical Engineering Gumushane University, Gumushane, Turkey email: charyyar@gumushane.edu.tr | |
Yasar Akkan Department of Mathematical Engineering Gumushane University, Gumushane, Turkey email: akkanyasar61@gumushane.edu.tr |
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