Numerical Solution of Source Identification Non-Local Elliptic Problem

Charyyar Ashyralyyev; Mirsaid Amirov

doi:10.1063/5.0144802

Numerical Solution of Source Identification Non-Local Elliptic Problem

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

Abstract

In this work, we study the second order of accuracy difference scheme for approximate solution of elliptic source identification problem with integral type non-local condition. We establish stability and coercive stability estimates for solution of difference scheme. In addition, computation results on test example are given.

Original language	English
Title of host publication	Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021
Editors	Mersaid M. Aripov, Allaberen Ashyralyev, Allaberen Ashyralyev, Charyyar Ashyralyyev, Charyyar Ashyralyyev, Abdullah S. Erdogan, Anvar Kabulov, Erkinjon Karimov, Abror Khudoyberdiyev
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735445352
DOIs	https://doi.org/10.1063/5.0144802
Publication status	Published - 8 Jun 2023
Externally published	Yes
Event	2021 International Conference on Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021 - Fergana, Uzbekistan Duration: 15 Nov 2021 → 17 Nov 2021

Publication series

Name	AIP Conference Proceedings
Volume	2781
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	2021 International Conference on Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021
Country/Territory	Uzbekistan
City	Fergana
Period	15/11/21 → 17/11/21

Access to Document

10.1063/5.0144802

Cite this

Ashyralyyev, C., & Amirov, M. (2023). Numerical Solution of Source Identification Non-Local Elliptic Problem. In M. M. Aripov, A. Ashyralyev, A. Ashyralyev, C. Ashyralyyev, C. Ashyralyyev, A. S. Erdogan, A. Kabulov, E. Karimov, & A. Khudoyberdiyev (Eds.), Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021 Article 020031 (AIP Conference Proceedings; Vol. 2781). American Institute of Physics Inc.. https://doi.org/10.1063/5.0144802

Ashyralyyev, Charyyar ; Amirov, Mirsaid. / Numerical Solution of Source Identification Non-Local Elliptic Problem. Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021. editor / Mersaid M. Aripov ; Allaberen Ashyralyev ; Allaberen Ashyralyev ; Charyyar Ashyralyyev ; Charyyar Ashyralyyev ; Abdullah S. Erdogan ; Anvar Kabulov ; Erkinjon Karimov ; Abror Khudoyberdiyev. American Institute of Physics Inc., 2023. (AIP Conference Proceedings).

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abstract = "In this work, we study the second order of accuracy difference scheme for approximate solution of elliptic source identification problem with integral type non-local condition. We establish stability and coercive stability estimates for solution of difference scheme. In addition, computation results on test example are given.",

author = "Charyyar Ashyralyyev and Mirsaid Amirov",

note = "Publisher Copyright: {\textcopyright} 2023 American Institute of Physics Inc.. All rights reserved.; 2021 International Conference on Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021 ; Conference date: 15-11-2021 Through 17-11-2021",

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doi = "10.1063/5.0144802",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Aripov, {Mersaid M.} and Allaberen Ashyralyev and Allaberen Ashyralyev and Charyyar Ashyralyyev and Charyyar Ashyralyyev and Erdogan, {Abdullah S.} and Anvar Kabulov and Erkinjon Karimov and Abror Khudoyberdiyev",

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Ashyralyyev, C & Amirov, M 2023, Numerical Solution of Source Identification Non-Local Elliptic Problem. in MM Aripov, A Ashyralyev, A Ashyralyev, C Ashyralyyev, C Ashyralyyev, AS Erdogan, A Kabulov, E Karimov & A Khudoyberdiyev (eds), Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021., 020031, AIP Conference Proceedings, vol. 2781, American Institute of Physics Inc., 2021 International Conference on Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021, Fergana, Uzbekistan, 15/11/21. https://doi.org/10.1063/5.0144802

Numerical Solution of Source Identification Non-Local Elliptic Problem. / Ashyralyyev, Charyyar; Amirov, Mirsaid.
Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021. ed. / Mersaid M. Aripov; Allaberen Ashyralyev; Allaberen Ashyralyev; Charyyar Ashyralyyev; Charyyar Ashyralyyev; Abdullah S. Erdogan; Anvar Kabulov; Erkinjon Karimov; Abror Khudoyberdiyev. American Institute of Physics Inc., 2023. 020031 (AIP Conference Proceedings; Vol. 2781).

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

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AB - In this work, we study the second order of accuracy difference scheme for approximate solution of elliptic source identification problem with integral type non-local condition. We establish stability and coercive stability estimates for solution of difference scheme. In addition, computation results on test example are given.

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Ashyralyyev C, Amirov M. Numerical Solution of Source Identification Non-Local Elliptic Problem. In Aripov MM, Ashyralyev A, Ashyralyev A, Ashyralyyev C, Ashyralyyev C, Erdogan AS, Kabulov A, Karimov E, Khudoyberdiyev A, editors, Modern Problems of Applied Mathematics and Information Technology, MPAMIT 2021. American Institute of Physics Inc. 2023. 020031. (AIP Conference Proceedings). doi: 10.1063/5.0144802

Numerical Solution of Source Identification Non-Local Elliptic Problem

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