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On the Crank-Nicolson difference scheme for the time-dependent source identification problem

A. Ashyralyev, Near East University, M. Urun, Peoples' Friendship University of Russia (RUDN University), Institute of Mathematics and Mathematical Modeling, Near East University, Galatasaray University
2021 BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS  

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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.
doi:10.31489/2021m2/35-44 fatcat:htqbtffdvzfrnifot3g2mnber4
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A. Ashyralyev, Near East University, M. Urun, Peoples' Friendship University of Russia (RUDN University), Institute of Mathematics and Mathematical Modeling, Near East University, Galatasaray University. "On the Crank-Nicolson difference scheme for the time-dependent source identification problem." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 102.2 (2021) 35-44