Abstract and Applied Analysis

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

Allaberen Ashyralyev and Elif Ozturk

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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

Permanent link to this document
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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