An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition

Allaberen Ashyralyev; Haitham Al-Hazaimeh; Charyyar Ashyralyyev

doi:10.1063/5.0175360

An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition

Allaberen Ashyralyev, Haitham Al-Hazaimeh, Charyyar Ashyralyyev

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, the first order of accuracy absolutely stable difference scheme for the approximate solution of the identification problem for the telegraph equation with the Dirichlet condition is proposed. Numerical results have been provided for the solution of time-dependent source identification problems for telegraph differential equations in the two-dimensional case.

Original language	English
Title of host publication	AIP Conference Proceedings
Editors	Huseyin Cakalli, Ljubisa D. R. Kocinac, Allaberen Ashyralyev, Robin Harte, Mehmet Dik, Ibrahim Canak, Hacer Sengul Kandemir, Mujgan Tez, Gurtug Ozay, Ekrem Savas, Nazlim Deniz Aral, Filiz Cagatay Ucgun, Charyyar Ashyralyyev, Kadri Ulas Akay
Publisher	American Institute of Physics Inc.
Edition	1
ISBN (Electronic)	9780735446953
DOIs	https://doi.org/10.1063/5.0175360
Publication status	Published - 9 Oct 2023
Externally published	Yes
Event	6th International Conference of Mathematical Sciences, ICMS 2022 - Hybrid, Istanbul, Turkey Duration: 20 Jul 2022 → 24 Jul 2022

Publication series

Name	AIP Conference Proceedings
Number	1
Volume	2879
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	6th International Conference of Mathematical Sciences, ICMS 2022
Country/Territory	Turkey
City	Hybrid, Istanbul
Period	20/07/22 → 24/07/22

Access to Document

10.1063/5.0175360

Cite this

Ashyralyev, A., Al-Hazaimeh, H., & Ashyralyyev, C. (2023). An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition. In H. Cakalli, L. D. R. Kocinac, A. Ashyralyev, R. Harte, M. Dik, I. Canak, H. S. Kandemir, M. Tez, G. Ozay, E. Savas, N. D. Aral, F. C. Ucgun, C. Ashyralyyev, & K. U. Akay (Eds.), AIP Conference Proceedings (1 ed.). Article 040009 (AIP Conference Proceedings; Vol. 2879, No. 1). American Institute of Physics Inc.. https://doi.org/10.1063/5.0175360

Ashyralyev, Allaberen ; Al-Hazaimeh, Haitham ; Ashyralyyev, Charyyar. / An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition. AIP Conference Proceedings. editor / Huseyin Cakalli ; Ljubisa D. R. Kocinac ; Allaberen Ashyralyev ; Robin Harte ; Mehmet Dik ; Ibrahim Canak ; Hacer Sengul Kandemir ; Mujgan Tez ; Gurtug Ozay ; Ekrem Savas ; Nazlim Deniz Aral ; Filiz Cagatay Ucgun ; Charyyar Ashyralyyev ; Kadri Ulas Akay. 1. ed. American Institute of Physics Inc., 2023. (AIP Conference Proceedings; 1).

@inproceedings{f7326bd4c2a64c6b8c2a86c2b9444982,

title = "An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition",

abstract = "In this paper, the first order of accuracy absolutely stable difference scheme for the approximate solution of the identification problem for the telegraph equation with the Dirichlet condition is proposed. Numerical results have been provided for the solution of time-dependent source identification problems for telegraph differential equations in the two-dimensional case.",

author = "Allaberen Ashyralyev and Haitham Al-Hazaimeh and Charyyar Ashyralyyev",

note = "Publisher Copyright: {\textcopyright} 2023 Author(s).; 6th International Conference of Mathematical Sciences, ICMS 2022 ; Conference date: 20-07-2022 Through 24-07-2022",

year = "2023",

month = oct,

day = "9",

doi = "10.1063/5.0175360",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

number = "1",

editor = "Huseyin Cakalli and Kocinac, {Ljubisa D. R.} and Allaberen Ashyralyev and Robin Harte and Mehmet Dik and Ibrahim Canak and Kandemir, {Hacer Sengul} and Mujgan Tez and Gurtug Ozay and Ekrem Savas and Aral, {Nazlim Deniz} and Ucgun, {Filiz Cagatay} and Charyyar Ashyralyyev and Akay, {Kadri Ulas}",

booktitle = "AIP Conference Proceedings",

edition = "1",

}

Ashyralyev, A, Al-Hazaimeh, H & Ashyralyyev, C 2023, An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition. in H Cakalli, LDR Kocinac, A Ashyralyev, R Harte, M Dik, I Canak, HS Kandemir, M Tez, G Ozay, E Savas, ND Aral, FC Ucgun, C Ashyralyyev & KU Akay (eds), AIP Conference Proceedings. 1 edn, 040009, AIP Conference Proceedings, no. 1, vol. 2879, American Institute of Physics Inc., 6th International Conference of Mathematical Sciences, ICMS 2022, Hybrid, Istanbul, Turkey, 20/07/22. https://doi.org/10.1063/5.0175360

An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition. / Ashyralyev, Allaberen; Al-Hazaimeh, Haitham; Ashyralyyev, Charyyar.
AIP Conference Proceedings. ed. / Huseyin Cakalli; Ljubisa D. R. Kocinac; Allaberen Ashyralyev; Robin Harte; Mehmet Dik; Ibrahim Canak; Hacer Sengul Kandemir; Mujgan Tez; Gurtug Ozay; Ekrem Savas; Nazlim Deniz Aral; Filiz Cagatay Ucgun; Charyyar Ashyralyyev; Kadri Ulas Akay. 1. ed. American Institute of Physics Inc., 2023. 040009 (AIP Conference Proceedings; Vol. 2879, No. 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition

AU - Ashyralyev, Allaberen

AU - Al-Hazaimeh, Haitham

AU - Ashyralyyev, Charyyar

PY - 2023/10/9

Y1 - 2023/10/9

N2 - In this paper, the first order of accuracy absolutely stable difference scheme for the approximate solution of the identification problem for the telegraph equation with the Dirichlet condition is proposed. Numerical results have been provided for the solution of time-dependent source identification problems for telegraph differential equations in the two-dimensional case.

AB - In this paper, the first order of accuracy absolutely stable difference scheme for the approximate solution of the identification problem for the telegraph equation with the Dirichlet condition is proposed. Numerical results have been provided for the solution of time-dependent source identification problems for telegraph differential equations in the two-dimensional case.

UR - http://www.scopus.com/inward/record.url?scp=85177682794&partnerID=8YFLogxK

U2 - 10.1063/5.0175360

DO - 10.1063/5.0175360

M3 - Conference contribution

AN - SCOPUS:85177682794

T3 - AIP Conference Proceedings

BT - AIP Conference Proceedings

A2 - Cakalli, Huseyin

A2 - Kocinac, Ljubisa D. R.

A2 - Ashyralyev, Allaberen

A2 - Harte, Robin

A2 - Dik, Mehmet

A2 - Canak, Ibrahim

A2 - Kandemir, Hacer Sengul

A2 - Tez, Mujgan

A2 - Ozay, Gurtug

A2 - Savas, Ekrem

A2 - Aral, Nazlim Deniz

A2 - Ucgun, Filiz Cagatay

A2 - Ashyralyyev, Charyyar

A2 - Akay, Kadri Ulas

PB - American Institute of Physics Inc.

T2 - 6th International Conference of Mathematical Sciences, ICMS 2022

Y2 - 20 July 2022 through 24 July 2022

ER -

Ashyralyev A, Al-Hazaimeh H, Ashyralyyev C. An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition. In Cakalli H, Kocinac LDR, Ashyralyev A, Harte R, Dik M, Canak I, Kandemir HS, Tez M, Ozay G, Savas E, Aral ND, Ucgun FC, Ashyralyyev C, Akay KU, editors, AIP Conference Proceedings. 1 ed. American Institute of Physics Inc. 2023. 040009. (AIP Conference Proceedings; 1). doi: 10.1063/5.0175360

An a pproximation to the solution of two dimensional source identification telegraph problem with Dirichlet condition

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this