Electron. J. Differential Equations, Vol. 2017 (2017), No. 197, pp. 1-16.

Approximate solution for an inverse problem of multidimensional elliptic equation with multipoint nonlocal and Neumann boundary conditions

Charyyar Ashyralyyev, Gulzipa Akyuz, Mutlu Dedeturk

Abstract:
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 nonlocal and Neumann boundary conditions in two and three dimensional test examples. Numerical results are carried out by MATLAB program and brief explanation on the realization of algorithm is given.

Submitted June 7, 2017. Published August 9, 2017.
Math Subject Classifications: 35N25, 39A30.
Key Words: Difference scheme; inverse elliptic problem; stability; overdetermination; nonlocal problem.

Show me the PDF file (250 KB), TEX file for this article.

Charyyar Ashyralyyev
Department of Mathematical Engineering
Gumushane University
Gumushane, Turkey
email: charyyar@gumushane.edu.tr
Gulzipa Akyuz
Department of Mathematical Engineering
Gumushane University
Gumushane, Turkey
email: gulzipaakyuz@gmail.com
Mutlu Dedeturk
Department of Mathematical Engineering
Gumushane University
Gumushane, Turkey
email: mutludedeturk@gumushane.edu.tr

Return to the EJDE web page