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

Allaberen Ashyralyev and Elif Ozturk

Abstract and Applied Analysis, 2012, vol. 2012, 1-13

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:730804

DOI: 10.1155/2012/730804

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