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

Ashyralyev A. Ashyralyyev C.
June 2022 Pleiades journals

Computational Mathematics and Mathematical Physics
2022 #62 Issue 6 962 - 973 pp.

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.

difference schemes , Hilbert space , local and nonlocal problems , parabolic equation , stability

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Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Engineering Mathematics, Gumushane University, Gumushane, 29100, Turkey
Mirzo Ulugbek National University of Uzbekistan, Tashkent, 100174, Uzbekistan

Department of Mathematics
Peoples’ Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Department of Engineering Mathematics
Mirzo Ulugbek National University of Uzbekistan

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