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


Ashyralyev A. , Ozturk E.

ABSTRACT AND APPLIED ANALYSIS, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1155/2012/730804
  • Dergi Adı: ABSTRACT AND APPLIED ANALYSIS

Özet

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.