Highly accurate difference schemes for time-nonlocal Schrodinger type problems

AbstractIn this study, time-nonlocal Schrodinger type problems are investigated. Single step absolute stable highly accurate difference schemes for the numerical solution of these problems are presented and theorems on the stability of these difference schemes are established. Numerical illustrations in test examples for the third and fourth order of accuracy difference schemes are presented.

Authors
Ashyralyev Allaberen 1, 2, 3 , Sirma Ali4 , Ashyralyyev Charyyar1, 5
Journal
Numerical Methods for Partial Differential Equations
Publisher
John Wiley and Sons Inc.
Number of issue
3
Language
English
Pages
2584-2599
Status
Published
Volume
39
Year
2023
Organizations
  • 1 Department of Mathematics Bahcesehir University Istanbul Turkey
  • 2 Peoples' Friendship University of Russia (RUDN University) Moscow Russia
  • 3 Institute of Mathematics and Mathematical Modeling Almaty Kazakhstan
  • 4 Department of Industrial Engineering Haliç University Istanbul Turkey
  • 5 Department of Mathematics National University of Uzbekistan named after Mirzo Ulugbek Tashkent Uzbekistan
Date of creation
01.07.2024
Date of change
01.07.2024
Short link
https://repository.rudn.ru/en/records/article/record/107977/
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