The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition
ABSTRACT AND APPLIED ANALYSIS, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume:
- Publication Date: 2012
- Doi Number: 10.1155/2012/730804
- Journal Name: ABSTRACT AND APPLIED ANALYSIS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Bursa Uludag University Affiliated: Yes
Abstract
We are interested in studying the stable difference schemes for the numerical solution of the nonlocal boundary value problemwith 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.