Time-Dependent Source Identification Schrödinger Type Problem

In this study, the source identification problem with non-local boundary conditions for the time-dependent, one-dimensional Schrödinger equation is studied. Stability estimates are constructed for the solution of source identification problem. A first order of accuracy difference scheme is investigated for the numerical solution of this problem. © 2021 Academic Publications

Authors
Ashyralyev A. 1, 2, 3 , Urun M. 1, 4
Journal
International Journal of Applied Mathematics
Publisher
Academic Publications Ltd.
Issue number
2
Language
English
Pages
297-310
State
Published
Link
External link
DOI
10.12732/IJAM.V34I2.7
Volume
34
Year
2021
Organizations
  • 1 Department of Mathematics, Near East University Nicosia, Mersin, Turkey
  • 2 Peoples’ Friendship University of Russia (RUDN University), Ul. Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling Almaty, Kazakhstan
  • 4 Maritime Vocational School, Galatasaray University, Istanbul, 34349, Turkey
Keywords
identification problem; nonlocal problem; Schrödinger equation; stability
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