A high order of accuracy of difference schemes for the nonlocal boundary value schrödinger problem

In this study, nonlocal boundary value Schrödinger type problem in a Hilbert space with the self-adjoint positive definite operator is investigated. Single step stable third and fourth order of accuracy difference schemes for the numerical solution of this problem are presented. The main theorems on the stability of these difference schemes are established. In application, theorem on the stability of difference schemes for nonlocal boundary value problems for Schrödinger equations is proved. Numerical results are given. © 2021 American Institute of Physics Inc.. All rights reserved.

Authors
Ashyralyev A. 1, 2, 3 , Sirma A.4
Conference proceedings
AIP Conference Proceedings
Language
English
Status
Published
DOI
10.1063/5.0042183
Number
060002
Volume
2334
Year
2021
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia, Mersin 10, 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, 050010, Kazakhstan
  • 4 Department of Industrial Engineering, Halic University, Istanbul, Turkey
Keywords
Differenceschemes; Schrödingerproblem; Stability
Date of creation
20.04.2021
Date of change
20.04.2021
Short link
https://repository.rudn.ru/en/records/article/record/72060/
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