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

A. Ashyralyev; C. Ashyralyyev

doi:10.1134/S0965542522060021

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

A. Ashyralyev, C. Ashyralyyev

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	962-973
Number of pages	12
Journal	Computational Mathematics and Mathematical Physics
Volume	62
Issue number	6
DOIs	https://doi.org/10.1134/S0965542522060021
Publication status	Published - Jun 2022
Externally published	Yes

Keywords

Hilbert space
difference schemes
local and nonlocal problems
parabolic equation
stability

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10.1134/S0965542522060021

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title = "On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition",

abstract = "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 H{\"o}lder spaces is established. Numerical illustrations in a test case are presented.",

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

author = "A. Ashyralyev and C. Ashyralyyev",

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year = "2022",

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T1 - On the Stability of Parabolic Differential and Difference Equations with a Time-Nonlocal Condition

AU - Ashyralyev, A.

AU - Ashyralyyev, C.

PY - 2022/6

Y1 - 2022/6

N2 - 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.

AB - 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.

KW - Hilbert space

KW - difference schemes

KW - local and nonlocal problems

KW - parabolic equation

KW - stability

UR - http://www.scopus.com/inward/record.url?scp=85134242642&partnerID=8YFLogxK

U2 - 10.1134/S0965542522060021

DO - 10.1134/S0965542522060021

M3 - Article

AN - SCOPUS:85134242642

SN - 0965-5425

VL - 62

SP - 962

EP - 973

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

IS - 6

ER -

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

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