On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem


Ashyralyev A., Ozturk E.

BOUNDARY VALUE PROBLEMS, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1186/1687-2770-2014-14
  • Dergi Adı: BOUNDARY VALUE PROBLEMS

Özet

In this study, the Bitsadze-Samarskii type nonlocal boundary-value problem with integral condition for an elliptic differential equation in a Hilbert space H with self-adjoint positive definite operator A is considered. The second order of the accuracy difference scheme for the approximate solutions of this nonlocal boundary-value problem is presented. The well-posedness of this difference scheme in Holder spaces with a weight is proved. The theoretical statements for the solution of this difference scheme are supported by the results of numerical example.