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

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  • Allaberen Ashyralyev
  • Elif Ozturk

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.

Suggested Citation

  • Allaberen Ashyralyev & Elif Ozturk, 2012. "The Numerical Solution of the Bitsadze-Samarskii Nonlocal Boundary Value Problems with the Dirichlet-Neumann Condition," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, August.
    • Handle: RePEc:hin:jnlaaa:730804
    DOI: 10.1155/2012/730804
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