Time-dependent source identification problem for the Schrödinger equation with nonlocal boundary conditions

In the present study, a source identification problem for a one-dimensional Schrödinger equation with nonlocal boundary conditions is investigated. Stability estimates for the solution of the source identification problem are established. A first order of accuracy difference scheme for the numerical solution of this problem is presented. Stability estimates for the solution of this difference scheme are established. Numerical results are provided. © 2019 Author(s).

Authors
Ashyralyev A. 1, 2, 3 , Urun M.1
Conference proceedings
AIP Conference Proceedings
Language
English
Status
Published
DOI
10.1063/1.5136178
Number
070016
Volume
2183
Year
2019
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia, Mersin 10, Turkey
  • 2 Peoples' Friendship University of Russia, RUDN University, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Keywords
difference scheme; Schrodinger differantial equation; Source identification problem
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