Approximate solution for an inverse problem of multidimensional elliptic equation with multipoint nonlocal and Neumann boundary conditions
Date
2017-08-09
Authors
Ashyralyyev, Charyyar
Akyuz, Gulzipa
Dedeturk, Mutlu
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Difference scheme, Inverse elliptic problem, Stability, Overdetermination, Nonlocal problem
Citation
Ashyralyyev, C., Akyuz, G., & Dedeturk, M. (2017). Approximate solution for an inverse problem of multidimensional elliptic equation with multipoint nonlocal and Neumann boundary conditions. Electronic Journal of Differential Equations, 2017(197), pp. 1-16.
Rights
Attribution 4.0 International