On the Crank-Nicolson difference scheme for the time-dependent source identification problem
Allaberen AshyralyevInstitute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan;Mesut UrunGalatasaray University, Istanbul, Turkey
2021en
ABI
Abstract
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.
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