The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition-Reference-Cited by-同舟云学术

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

Published:2012 Issue: Volume:2012 Page:1-13
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ashyralyev Allaberen¹²,Ozturk Elif³

Affiliation:

1. Department of Mathematics, Fatih University, 34500 Istanbul, Turkey

2. Department of Mathematics, International Turkmen-Turkish University, 74400 Ashgabat, Turkmenistan

3. Department of Mathematics, Uludag University, 16059 Bursa, Turkey

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/730804.pdf

Reference22 articles.

1. Operator Theory: Advances and Applications,1997

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