## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2013, Special Issue (2013), Article ID 548017, 11 pages.

### Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination

Charyyar Ashyralyyev and Mutlu Dedeturk

**Full-text: Open access**

#### Abstract

A *…*finite difference method for the approximate solution of the inverse problem for the multidimensional elliptic equation with overdetermination is applied. Stability and coercive stability estimates of the fi*…*rst and second orders of accuracy difference schemes for this problem are established. The algorithm for approximate solution is tested in a two-dimensional inverse problem.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 548017, 11 pages.

**Dates**

First available in Project Euclid: 26 February 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1393450133

**Digital Object Identifier**

doi:10.1155/2013/548017

**Mathematical Reviews number (MathSciNet)**

MR3111818

**Zentralblatt MATH identifier**

1291.65328

#### Citation

Ashyralyyev, Charyyar; Dedeturk, Mutlu. Approximate Solution of Inverse Problem for Elliptic Equation with Overdetermination. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 548017, 11 pages. doi:10.1155/2013/548017. https://projecteuclid.org/euclid.aaa/1393450133

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