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This article is cited in 4 scientific papers (total in 4 papers)
Mathematical physics
On the stability of parabolic differential and difference equations with a time-nonlocal condition
A. Ashyralyevabc, C. Ashyralyyevde a Department of Mathematics, Bahçesehir University, 34353, Istanbul, Turkey
b Peoples’ Friendship University of Russia (RUDN University), 117198, Moscow, Russia
c Institute of Mathematics and Mathematical Modeling, 050010, Almaty, Kazakhstan
d Department of Engineering Mathematics, Gumushane University, 29100, Gumushane, Turkey
e Mirzo Ulugbek National University of Uzbekistan, 100174, Tashkent, Uzbekistan
Abstract:
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.
Key words:
parabolic equation, local and nonlocal problems, difference schemes, stability, Hilbert space.
Received: 24.12.2021 Revised: 24.12.2021 Accepted: 11.02.2022
Citation:
A. Ashyralyev, C. Ashyralyyev, “On the stability of parabolic differential and difference equations with a time-nonlocal condition”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 994–1006; Comput. Math. Math. Phys., 62:6 (2022), 962–973
Linking options:
https://www.mathnet.ru/eng/zvmmf11411 https://www.mathnet.ru/eng/zvmmf/v62/i6/p994
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