A NOTE ON THE SECOND ORDER OF ACCURACY DIFFERENCE SCHEME FOR THE ELLIPTIC-TELEGRAPH IDENTIFICATION PROBLEM WITH DIRICHLET BOUNDARY CONDITION

Ahmad Al-Hammouri; Allaberen Ashyralyev

doi:10.12732/ijam.v38i1.1

A NOTE ON THE SECOND ORDER OF ACCURACY DIFFERENCE SCHEME FOR THE ELLIPTIC-TELEGRAPH IDENTIFICATION PROBLEM WITH DIRICHLET BOUNDARY CONDITION

Ahmad Al-Hammouri
, Allaberen Ashyralyev

Matematik

Araştırma sonucu: Dergi katkısı › Makale › bilirkişi

Özet

In the present paper, the second-order of accuracy difference scheme (DS) for the approximate solution of a source identification problem (SIP) for the multidimensional elliptic-telegraph equations is constructed. Theorem on stability estimates for the solution of this DS and second-order difference derivatives is presented. Numerical results are given for the solutions of the one-dimensional SIP for the elliptic-telegraph equation.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1-13
Sayfa sayısı	13
Dergi	International Journal of Applied Mathematics
Hacim	38
Basın numarası	1
DOI'lar	https://doi.org/10.12732/ijam.v38i1.1
Yayın durumu	Yayınlanan - 2025

Belgeye Erişim

10.12732/ijam.v38i1.1

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Link to publication in Scopus

Bundan alıntı yap

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title = "A NOTE ON THE SECOND ORDER OF ACCURACY DIFFERENCE SCHEME FOR THE ELLIPTIC-TELEGRAPH IDENTIFICATION PROBLEM WITH DIRICHLET BOUNDARY CONDITION",

abstract = "In the present paper, the second-order of accuracy difference scheme (DS) for the approximate solution of a source identification problem (SIP) for the multidimensional elliptic-telegraph equations is constructed. Theorem on stability estimates for the solution of this DS and second-order difference derivatives is presented. Numerical results are given for the solutions of the one-dimensional SIP for the elliptic-telegraph equation.",

keywords = "DS, SIP, elliptic-telegraph differential equation, stability",

author = "Ahmad Al-Hammouri and Allaberen Ashyralyev",

note = "Publisher Copyright: {\textcopyright} 2025 Diogenes Co., Sofia.",

year = "2025",

doi = "10.12732/ijam.v38i1.1",

language = "English",

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journal = "International Journal of Applied Mathematics",

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AU - Al-Hammouri, Ahmad

AU - Ashyralyev, Allaberen

PY - 2025

Y1 - 2025

N2 - In the present paper, the second-order of accuracy difference scheme (DS) for the approximate solution of a source identification problem (SIP) for the multidimensional elliptic-telegraph equations is constructed. Theorem on stability estimates for the solution of this DS and second-order difference derivatives is presented. Numerical results are given for the solutions of the one-dimensional SIP for the elliptic-telegraph equation.

AB - In the present paper, the second-order of accuracy difference scheme (DS) for the approximate solution of a source identification problem (SIP) for the multidimensional elliptic-telegraph equations is constructed. Theorem on stability estimates for the solution of this DS and second-order difference derivatives is presented. Numerical results are given for the solutions of the one-dimensional SIP for the elliptic-telegraph equation.

KW - DS

KW - SIP

KW - elliptic-telegraph differential equation

KW - stability

UR - https://www.scopus.com/pages/publications/105000610121

U2 - 10.12732/ijam.v38i1.1

DO - 10.12732/ijam.v38i1.1

M3 - Article

AN - SCOPUS:105000610121

SN - 1311-1728

VL - 38

SP - 1

EP - 13

JO - International Journal of Applied Mathematics

JF - International Journal of Applied Mathematics

IS - 1

ER -

A NOTE ON THE SECOND ORDER OF ACCURACY DIFFERENCE SCHEME FOR THE ELLIPTIC-TELEGRAPH IDENTIFICATION PROBLEM WITH DIRICHLET BOUNDARY CONDITION

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