## Abstract and Applied Analysis

### The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition

#### Abstract

We are interested in studying the stable difference schemes for the numerical solution of the nonlocal boundary value problem with the Dirichlet-Neumann condition for the multidimensional elliptic equation. The first and second orders of accuracy difference schemes are presented. A procedure of modified Gauss elimination method is used for solving these difference schemes for the two-dimensional elliptic differential equation. The method is illustrated by numerical examples.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 730804, 13 pages.

Dates
First available in Project Euclid: 5 April 2013

https://projecteuclid.org/euclid.aaa/1365174062

Digital Object Identifier
doi:10.1155/2012/730804

Mathematical Reviews number (MathSciNet)
MR2955037

Zentralblatt MATH identifier
1246.65196

#### Citation

Ashyralyev, Allaberen; Ozturk, Elif. The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 730804, 13 pages. doi:10.1155/2012/730804. https://projecteuclid.org/euclid.aaa/1365174062

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