APPROXIMATE SOLUTION FOR AN INVERSE PROBLEM OF MULTIDIMENSIONAL ELLIPTIC EQUATION WITH MULTIPOINT NONLOCAL AND NEUMANN BOUNDARY CONDITIONS

C Ashyralyyev, G Akyuz, M Dedeturk, Charyyar Ashyralyyev, Gulzipa Akyuz, Mutlu Dedeturk
2017 Electronic Journal of Differential Equations   unpublished
In this work, we consider an inverse elliptic problem with Bitsadze-Samarskii type multipoint nonlocal and Neumann boundary conditions. We construct the first and second order of accuracy difference schemes (ADSs) for problem considered. We stablish stability and coercive stability estimates for solutions of these difference schemes. Also, we give numerical results for overdetermined elliptic problem with multipoint Bitsadze-Samarskii type non-local and Neumann boundary conditions in two and
more » ... ee dimensional test examples. Numerical results are carried out by MATLAB program and brief explanation on the realization of algorithm is given. 2010 Mathematics Subject Classification. 35N25, 39A30.
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