A Study on Approximate Solution of the Two Dimensional Source Identification Telegraph Problem with Neumann Condition

Allaberen Ashyralyev; Haitham Al-Hazaimeh; Charyyar Ashyralyyev

doi:10.1063/5.0194741

A Study on Approximate Solution of the Two Dimensional Source Identification Telegraph Problem with Neumann Condition

Allaberen Ashyralyev, Haitham Al-Hazaimeh, Charyyar Ashyralyyev

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

Abstract

In the current work, two-dimensional source identification problem for the telegraph equation with Neumann boundary condition is investigated. The first order of accuracy absolute stable difference scheme to find the numerical solution of the two-dimensional identification problem for the telegraph equation with the second kind boundary condition is solved. A numerical example of the time-dependent source identification problem has been carried out to check the accuracy and effectiveness of the presented technique.

Original language	English
Title of host publication	AIP Conference Proceedings
Editors	Allaberen Ashyralyev, Allaberen Ashyralyev, Charyyar Ashyralyyev, Charyyar Ashyralyyev, Abdullah S. Erdogan, Makhmud Sadybekov
Publisher	American Institute of Physics Inc.
Edition	1
ISBN (Electronic)	9780735448360
DOIs	https://doi.org/10.1063/5.0194741
Publication status	Published - 12 Feb 2024
Externally published	Yes
Event	6th International Conference on Analysis and Applied Mathematics, ICAAM 2022 - Antalya, Turkey Duration: 31 Oct 2022 → 6 Nov 2022

Publication series

Name	AIP Conference Proceedings
Number	1
Volume	3085
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	6th International Conference on Analysis and Applied Mathematics, ICAAM 2022
Country/Territory	Turkey
City	Antalya
Period	31/10/22 → 6/11/22

Access to Document

10.1063/5.0194741

Cite this

Ashyralyev, A., Al-Hazaimeh, H., & Ashyralyyev, C. (2024). A Study on Approximate Solution of the Two Dimensional Source Identification Telegraph Problem with Neumann Condition. In A. Ashyralyev, A. Ashyralyev, C. Ashyralyyev, C. Ashyralyyev, A. S. Erdogan, & M. Sadybekov (Eds.), AIP Conference Proceedings (1 ed.). Article 020020 (AIP Conference Proceedings; Vol. 3085, No. 1). American Institute of Physics Inc.. https://doi.org/10.1063/5.0194741

Ashyralyev, Allaberen ; Al-Hazaimeh, Haitham ; Ashyralyyev, Charyyar. / A Study on Approximate Solution of the Two Dimensional Source Identification Telegraph Problem with Neumann Condition. AIP Conference Proceedings. editor / Allaberen Ashyralyev ; Allaberen Ashyralyev ; Charyyar Ashyralyyev ; Charyyar Ashyralyyev ; Abdullah S. Erdogan ; Makhmud Sadybekov. 1. ed. American Institute of Physics Inc., 2024. (AIP Conference Proceedings; 1).

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abstract = "In the current work, two-dimensional source identification problem for the telegraph equation with Neumann boundary condition is investigated. The first order of accuracy absolute stable difference scheme to find the numerical solution of the two-dimensional identification problem for the telegraph equation with the second kind boundary condition is solved. A numerical example of the time-dependent source identification problem has been carried out to check the accuracy and effectiveness of the presented technique.",

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

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Ashyralyev, A, Al-Hazaimeh, H & Ashyralyyev, C 2024, A Study on Approximate Solution of the Two Dimensional Source Identification Telegraph Problem with Neumann Condition. in A Ashyralyev, A Ashyralyev, C Ashyralyyev, C Ashyralyyev, AS Erdogan & M Sadybekov (eds), AIP Conference Proceedings. 1 edn, 020020, AIP Conference Proceedings, no. 1, vol. 3085, American Institute of Physics Inc., 6th International Conference on Analysis and Applied Mathematics, ICAAM 2022, Antalya, Turkey, 31/10/22. https://doi.org/10.1063/5.0194741

A Study on Approximate Solution of the Two Dimensional Source Identification Telegraph Problem with Neumann Condition. / Ashyralyev, Allaberen; Al-Hazaimeh, Haitham; Ashyralyyev, Charyyar.
AIP Conference Proceedings. ed. / Allaberen Ashyralyev; Allaberen Ashyralyev; Charyyar Ashyralyyev; Charyyar Ashyralyyev; Abdullah S. Erdogan; Makhmud Sadybekov. 1. ed. American Institute of Physics Inc., 2024. 020020 (AIP Conference Proceedings; Vol. 3085, No. 1).

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

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Ashyralyev A, Al-Hazaimeh H, Ashyralyyev C. A Study on Approximate Solution of the Two Dimensional Source Identification Telegraph Problem with Neumann Condition. In Ashyralyev A, Ashyralyev A, Ashyralyyev C, Ashyralyyev C, Erdogan AS, Sadybekov M, editors, AIP Conference Proceedings. 1 ed. American Institute of Physics Inc. 2024. 020020. (AIP Conference Proceedings; 1). doi: 10.1063/5.0194741

A Study on Approximate Solution of the Two Dimensional Source Identification Telegraph Problem with Neumann Condition

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