Ashyralyev, AllaberenSirma, Ali2024-07-122024-07-122021Ashyralyev, A. ve Sirma, A. (2021). A high order of accuracy of difference schemes for the nonlocal boundary value Schrödinger problem. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-5.978-0-7354-4078-4https://aip.scitation.org/doi/10.1063/5.0042183https://hdl.handle.net/20.500.12415/1970In this study, nonlocal boundary value Schr¨odinger type problem in a Hilbert space with the self-adjoint positive definite operator is investigated. Single step stable third and fourth order of accuracy difference schemes for the numerical solution of this problem are presented. The main theorems on the stability of these difference schemes are established. In application, theorem on the stability of difference schemes for nonlocal boundary value problems for Schr¨odinger equations is proved. Numerical results are given.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessDifference schemesstabilityproblemSchrödinger problemConference Object51