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

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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. <i>Electronic Journal of Differential Equations, 2017</i>(197), pp. 1-16.

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Attribution 4.0 International

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