Numerical approaches for solution of hyperbolic difference equations on circle

Allaberen Ashyralyev; Fatih Hezenci; Yasar Sozen

doi:10.1515/gmj-2023-2103

Numerical approaches for solution of hyperbolic difference equations on circle

Allaberen Ashyralyev
, Fatih Hezenci
, Yasar Sozen

Topoloji Anabilim Dalı

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T¹. The first-order modified difference scheme for the numerical solution of nonlocal boundary value problems for hyperbolic equations on a circle is presented. The stability and coercivity estimates in various Hölder norms for solutions of the difference schemes are established. Moreover, numerical examples are provided.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	723-730
Sayfa sayısı	8
Dergi	Georgian Mathematical Journal
Hacim	31
Basın numarası	5
DOI'lar	https://doi.org/10.1515/gmj-2023-2103
Yayın durumu	Yayınlandı - 1 Eki 2024

Belgeye Erişim

10.1515/gmj-2023-2103

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Bundan alıntı yap

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title = "Numerical approaches for solution of hyperbolic difference equations on circle",

abstract = "The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T1. The first-order modified difference scheme for the numerical solution of nonlocal boundary value problems for hyperbolic equations on a circle is presented. The stability and coercivity estimates in various H{\"o}lder norms for solutions of the difference schemes are established. Moreover, numerical examples are provided.",

keywords = "Difference equations on manifolds, difference schemes, self-adjoint positive definite operator, well-posedness",

author = "Allaberen Ashyralyev and Fatih Hezenci and Yasar Sozen",

note = "Publisher Copyright: {\textcopyright} 2024 Walter de Gruyter GmbH, Berlin/Boston.",

year = "2024",

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doi = "10.1515/gmj-2023-2103",

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AU - Ashyralyev, Allaberen

AU - Hezenci, Fatih

AU - Sozen, Yasar

PY - 2024/10/1

Y1 - 2024/10/1

N2 - The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T1. The first-order modified difference scheme for the numerical solution of nonlocal boundary value problems for hyperbolic equations on a circle is presented. The stability and coercivity estimates in various Hölder norms for solutions of the difference schemes are established. Moreover, numerical examples are provided.

AB - The present paper considers nonlocal boundary value problems for hyperbolic equations on the circle T1. The first-order modified difference scheme for the numerical solution of nonlocal boundary value problems for hyperbolic equations on a circle is presented. The stability and coercivity estimates in various Hölder norms for solutions of the difference schemes are established. Moreover, numerical examples are provided.

KW - Difference equations on manifolds

KW - difference schemes

KW - self-adjoint positive definite operator

KW - well-posedness

UR - https://www.scopus.com/pages/publications/85183002717

U2 - 10.1515/gmj-2023-2103

DO - 10.1515/gmj-2023-2103

M3 - Article

AN - SCOPUS:85183002717

SN - 1072-947X

VL - 31

SP - 723

EP - 730

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 5

ER -

Numerical approaches for solution of hyperbolic difference equations on circle

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