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

Allaberen Ashyralyev | Zendy; Elif Nur YILDIRIM ÖZTÜRK | Zendy

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

Author(s) -

Allaberen Ashyralyev,

Elif Nur YILDIRIM ÖZTÜRK

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/730804

Subject(s) - mathematics , dirichlet distribution , boundary value problem , neumann boundary condition , mathematical analysis , dirichlet boundary condition , elliptic curve , elliptic boundary value problem , mixed boundary condition , poincaré–steklov operator , robin boundary condition

We are interested in studying the stable difference schemes for the numerical solution ofthe nonlocal boundary value problem with the Dirichlet-Neumann condition for the multidimensional elliptic equation. The first and second orders of accuracy difference schemesare presented. A procedure of modified Gauss elimination method is used for solving thesedifference schemes for the two-dimensional elliptic differential equation. The method isillustrated by numerical examples

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