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

Matematik

Araştırma sonucu: Dergi katkısı › Makale › bilirkişi

5 Alıntılar (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	962-973
Sayfa sayısı	12
Dergi	Computational Mathematics and Mathematical Physics
Hacim	62
Basın numarası	6
DOI'lar	https://doi.org/10.1134/S0965542522060021
Yayın durumu	Yayınlanan - Haz 2022

Belgeye Erişim

10.1134/S0965542522060021

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Bundan alıntı yap

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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",

note = "Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",

year = "2022",

month = jun,

doi = "10.1134/S0965542522060021",

language = "English",

volume = "62",

pages = "962--973",

journal = "Computational Mathematics and Mathematical Physics",

issn = "0965-5425",

publisher = "Pleiades Publishing",

number = "6",

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TY - JOUR

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 - https://www.scopus.com/pages/publications/85134242642

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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