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, issue 1

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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https://doi.org/10.1155/2012/730804

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:730804

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