Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions

Charyyar Ashyralyyev

doi:10.1063/5.0175279

Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions

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

Abstract

In this study, we propose the first order of accuracy difference scheme for approximate solution of Neumann-type elliptic source identification problem (SIP) with mixed boundary and non-local integral conditions. We obtain stability and coer-cive stability estimates for solution of difference problem. Finally, we present computation results on test example.

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/10.1063/5.0175279
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

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10.1063/5.0175279

Cite this

Ashyralyyev, C. (2023). Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions. 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 040008 (AIP Conference Proceedings; Vol. 2879, No. 1). American Institute of Physics Inc.. https://doi.org/10.1063/5.0175279

Ashyralyyev, Charyyar. / Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions. 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).

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title = "Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions",

abstract = "In this study, we propose the first order of accuracy difference scheme for approximate solution of Neumann-type elliptic source identification problem (SIP) with mixed boundary and non-local integral conditions. We obtain stability and coer-cive stability estimates for solution of difference problem. Finally, we present computation results on test example.",

author = "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 = "10.1063/5.0175279",

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}",

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Ashyralyyev, C 2023, Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions. 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, 040008, 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/10.1063/5.0175279

Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions. / 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. 040008 (AIP Conference Proceedings; Vol. 2879, No. 1).

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

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PY - 2023/10/9

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N2 - In this study, we propose the first order of accuracy difference scheme for approximate solution of Neumann-type elliptic source identification problem (SIP) with mixed boundary and non-local integral conditions. We obtain stability and coer-cive stability estimates for solution of difference problem. Finally, we present computation results on test example.

AB - In this study, we propose the first order of accuracy difference scheme for approximate solution of Neumann-type elliptic source identification problem (SIP) with mixed boundary and non-local integral conditions. We obtain stability and coer-cive stability estimates for solution of difference problem. Finally, we present computation results on test example.

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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

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A2 - Ashyralyyev, Charyyar

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PB - American Institute of Physics Inc.

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Ashyralyyev C. Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions. 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. 040008. (AIP Conference Proceedings; 1). doi: 10.1063/5.0175279

Numerical solution of Neumann-type elliptic SIP with non-local integral and mixed boundary conditions

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