Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem

Allaberen Ashyralyev; Haitham Al-Hazaimeh; Charyyar Ashyralyyev

doi:10.1007/s40314-023-02478-5

Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem

Allaberen Ashyralyev, Haitham Al-Hazaimeh, Charyyar Ashyralyyev

Araştırma sonucu: Dergi katkısı › Makale › bilirkişi

1 Alıntı (Scopus)

Özet

In the present study, a new implicit absolute stable difference scheme (DS) for an approximate solution of the time-dependent source identification problem (SIP) for the telegraph equation (TE) is presented. The stability of difference problem is established. In applications of abstract results in a Hilbert space with a self-adjoint positive definite operator (SAPDO), theorems on stability estimates for the solution of DSs for approximate solutions of the multidimensional time-dependent SIPs for telegraph equations are obtained. Finally, these DSs are tested on stability in both two- and three-dimensional examples with different boundary conditions and some computational results are illustrated.

Orijinal dil	İngilizce
Makale numarası	333
Dergi	Computational and Applied Mathematics
Hacim	42
Basın numarası	8
DOI'lar	https://doi.org/10.1007/s40314-023-02478-5
Yayın durumu	Yayınlanan - Ara 2023
Harici olarak yayınlandı	Evet

Belgeye Erişim

10.1007/s40314-023-02478-5

Diger dosyalar ve linkler

Link to publication in Scopus

Studies from Bahcesehir University Reveal New Findings on Computational and Applied Mathematics (Absolute Stability of a Difference Scheme for the Multidimensional Time-dependently Identification Telegraph Problem)
Ashyralyev, A. & Ashyralyev, C.
15/12/23
1 öğe / Medya kapsamı
Basın/Medya: ???clipping.clippingtypes.clipping.clipping???

Bundan alıntı yap

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abstract = "In the present study, a new implicit absolute stable difference scheme (DS) for an approximate solution of the time-dependent source identification problem (SIP) for the telegraph equation (TE) is presented. The stability of difference problem is established. In applications of abstract results in a Hilbert space with a self-adjoint positive definite operator (SAPDO), theorems on stability estimates for the solution of DSs for approximate solutions of the multidimensional time-dependent SIPs for telegraph equations are obtained. Finally, these DSs are tested on stability in both two- and three-dimensional examples with different boundary conditions and some computational results are illustrated.",

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T1 - Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem

AU - Ashyralyev, Allaberen

AU - Al-Hazaimeh, Haitham

AU - Ashyralyyev, Charyyar

PY - 2023/12

Y1 - 2023/12

N2 - In the present study, a new implicit absolute stable difference scheme (DS) for an approximate solution of the time-dependent source identification problem (SIP) for the telegraph equation (TE) is presented. The stability of difference problem is established. In applications of abstract results in a Hilbert space with a self-adjoint positive definite operator (SAPDO), theorems on stability estimates for the solution of DSs for approximate solutions of the multidimensional time-dependent SIPs for telegraph equations are obtained. Finally, these DSs are tested on stability in both two- and three-dimensional examples with different boundary conditions and some computational results are illustrated.

AB - In the present study, a new implicit absolute stable difference scheme (DS) for an approximate solution of the time-dependent source identification problem (SIP) for the telegraph equation (TE) is presented. The stability of difference problem is established. In applications of abstract results in a Hilbert space with a self-adjoint positive definite operator (SAPDO), theorems on stability estimates for the solution of DSs for approximate solutions of the multidimensional time-dependent SIPs for telegraph equations are obtained. Finally, these DSs are tested on stability in both two- and three-dimensional examples with different boundary conditions and some computational results are illustrated.

KW - Absolute stability

KW - Difference schemes

KW - Source identification problems

KW - Telegraph equations

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DO - 10.1007/s40314-023-02478-5

M3 - Article

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VL - 42

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 8

M1 - 333

ER -

Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem

Özet

Belgeye Erişim

Diger dosyalar ve linkler

Parmak izi

Basın / Medya

Studies from Bahcesehir University Reveal New Findings on Computational and Applied Mathematics (Absolute Stability of a Difference Scheme for the Multidimensional Time-dependently Identification Telegraph Problem)

Bundan alıntı yap