## Abstract and Applied Analysis

### FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions

#### Abstract

A numerical method is proposed for solving nonlocal boundary value problem for the multidimensional elliptic partial differential equation with the Bitsadze-Samarskii-Dirichlet condition. The first and second-orders of accuracy stable difference schemes for the approximate solution of this nonlocal boundary value problem are presented. The stability estimates, coercivity, and almost coercivity inequalities for solution of these schemes are established. The theoretical statements for the solutions of these nonlocal elliptic problems are supported by results of numerical examples.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 454831, 22 pages.

Dates
First available in Project Euclid: 5 April 2013

https://projecteuclid.org/euclid.aaa/1365174075

Digital Object Identifier
doi:10.1155/2012/454831

Mathematical Reviews number (MathSciNet)
MR2994923

Zentralblatt MATH identifier
1261.65107

#### Citation

Ashyralyev, Allaberen; Ozesenli Tetikoglu, Fatma Songul. FDM for Elliptic Equations with Bitsadze-Samarskii-Dirichlet Conditions. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 454831, 22 pages. doi:10.1155/2012/454831. https://projecteuclid.org/euclid.aaa/1365174075

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