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