Ashyralyev, AllaberenAgirseven, Deniz2024-06-122024-06-1220201609-48401609-9389https://doi.org/10.1515/cmam-2018-0107https://hdl.handle.net/20.500.14551/23742In the present paper, the first and second order of accuracy difference schemes for the approximate solutions of the initial value problem for Schrodinger equation with time delay in a Hilbert space are presented. The theorem on stability estimates for the solutions of these difference schemes is established. The application of theorems on stability of difference schemes for the approximate solutions of the initial boundary value problems for Schrodinger partial differential equation is provided. Additionally, some illustrative numerical results are presented.en10.1515/cmam-2018-0107info:eu-repo/semantics/closedAccessSchrodinger Differential EquationsDifference SchemesStability EstimatesNumerical-SolutionNonlocal ProblemsModelArticle2012738Q3WOS:0005056072000022-s2.0-85061726834Q2