Stability of Difference Schemes for Bitsadze-Samarskii Type Nonlocal Boundary Value Problem Involving Integral Condition


Ashyralyev A., Ozturk E.

FILOMAT, cilt.28, ss.1027-1047, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 28 Konu: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.2298/fil1405027a
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.1027-1047

Özet

In this study, the stable difference schemes for the numerical solution of Bitsadze-Samarskii type nonlocal boundary-value problem involving integral condition for the elliptic equations are studied. The second and fourth orders of the 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.