Open AccessOn the Crank-Nicolson difference scheme for the time-dependent source identification problem
Author(s) -
Allaberen Ashyralyev,
Mesut Urun
Publication year - 2021
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2021m2/35-44
Subject(s) - crank–nicolson method , mathematics , stability (learning theory) , scheme (mathematics) , boundary value problem , finite difference method , identification (biology) , differential equation , mathematical analysis , finite difference , boundary (topology) , finite difference scheme , computer science , botany , machine learning , biology
In this study the source identification problem for the one-dimensional Schr¨odinger equation with non-local boundary conditions is considered. A second order of accuracy Crank-Nicolson difference scheme for the numerical solution of the differential problem is presented. Stability estimates are proved for the solution of this difference scheme. Numerical results are given.