On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition

In this paper, we study the integral type of the time-nonlocal boundary value problem for a parabolic equation. The well-posedness of these differential and difference problems in Hölder spaces is established. Numerical illustrations in a test case are presented.

Authors
Ashyralyev A. 1, 2, 3 , Ashyralyyev C.4, 5
Journal
Computational Mathematics and Mathematical Physics
Number of issue
6
Language
English
Pages
962-973
Status
Published
Volume
62
Year
2022
Organizations
  • 1 Department of Mathematics, Bahcesehir University
  • 2 Peoples’ Friendship University of Russia (RUDN University)
  • 3 Institute of Mathematics and Mathematical Modeling
  • 4 Department of Engineering Mathematics, Gumushane University
  • 5 Mirzo Ulugbek National University of Uzbekistan
Keywords
parabolic equation; local and nonlocal problems; difference schemes; stability; hilbert space
Date of creation
11.07.2024
Date of change
11.07.2024
Short link
https://repository.rudn.ru/en/records/article/record/155052/
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