Ashyralyev, AllaberenOzturk, Elif2025-01-272025-01-2720141687-2770https://doi.org/10.1186/1687-2770-2014-14https://hdl.handle.net/20.500.12428/27732In 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.eninfo:eu-repo/semantics/openAccesswell-posednessdifference schemeelliptic equationArticle10.1186/1687-2770-2014-14Q1WOS:0003335959000022-s2.0-84899829065Q1