The numerical solution of the Bitsadze-Samarskii nonlocal boundary value problems with the dirichlet-neumann condition
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Date
2012
Authors
Ashyralyev, Allaberen
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
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.
Description
Keywords
Mathematics, Well-posedness, Elliptic-equations, Difference-schemes, Spaces
Citation
Ashyralyev, A. ve Öztürk, E. (2012). "The numerical solution of the Bitsadze-Samarskii nonlocal boundary value problems with the dirichlet-neumann condition". Abstract and Applied Analysis, 2012, 1-13.