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On the Crank-Nicolson difference scheme for the time-dependent source identification problem
release_htqbtffdvzfrnifot3g2mnber4
by
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
Published
in BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
by Karagandy University of the name of academician E.A. Buketov.
2021 Volume 102, p35-44
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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