On stable difference scheme for identification elliptic problem with integral and second kind boundary condition

Charyyar Ashyralyyev

doi:10.1063/5.0042230

On stable difference scheme for identification elliptic problem with integral and second kind boundary condition

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

Abstract

In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive stability estimates for solution of the difference scheme are described. Moreover, test example with computation results is given.

Original language	English
Title of host publication	4th International Conference of Mathematical Sciences, ICMS 2020
Editors	Huseyin Cakalli, Ljubisa D. R. Kocinac, Allaberen Ashyralyev, Robin Harte, Mehmet Dik, Ibrahim Canak, Hacer Sengul Kandemir, Mujgan Tez, Ozay Gurtug, Ekrem Savas, Kadri Ulas Akay, Sahin Uyaver, Charyyar Ashyralyyev, Sefa Anil Sezer, Arap Duran Turkoglu, Oruc Raif Onvural, Hakan Sahin, Filiz Cagatay Ucgun
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735440784
DOIs	https://doi.org/10.1063/5.0042230
Publication status	Published - 2 Mar 2021
Externally published	Yes
Event	4th International Conference of Mathematical Sciences, ICMS 2020 - Istanbul, Turkey Duration: 17 Jun 2020 → 21 Jun 2020

Publication series

Name	AIP Conference Proceedings
Volume	2334
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	4th International Conference of Mathematical Sciences, ICMS 2020
Country/Territory	Turkey
City	Istanbul
Period	17/06/20 → 21/06/20

Keywords

Difference schemes
Elliptic problem
Source identification
Stability

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10.1063/5.0042230

Cite this

Ashyralyyev, C. (2021). On stable difference scheme for identification elliptic problem with integral and second kind boundary condition. In H. Cakalli, L. D. R. Kocinac, A. Ashyralyev, R. Harte, M. Dik, I. Canak, H. S. Kandemir, M. Tez, O. Gurtug, E. Savas, K. U. Akay, S. Uyaver, C. Ashyralyyev, S. A. Sezer, A. D. Turkoglu, O. R. Onvural, H. Sahin, & F. C. Ucgun (Eds.), 4th International Conference of Mathematical Sciences, ICMS 2020 Article 060010 (AIP Conference Proceedings; Vol. 2334). American Institute of Physics Inc.. https://doi.org/10.1063/5.0042230

Ashyralyyev, Charyyar. / On stable difference scheme for identification elliptic problem with integral and second kind boundary condition. 4th International Conference of Mathematical Sciences, ICMS 2020. editor / Huseyin Cakalli ; Ljubisa D. R. Kocinac ; Allaberen Ashyralyev ; Robin Harte ; Mehmet Dik ; Ibrahim Canak ; Hacer Sengul Kandemir ; Mujgan Tez ; Ozay Gurtug ; Ekrem Savas ; Kadri Ulas Akay ; Sahin Uyaver ; Charyyar Ashyralyyev ; Sefa Anil Sezer ; Arap Duran Turkoglu ; Oruc Raif Onvural ; Hakan Sahin ; Filiz Cagatay Ucgun. American Institute of Physics Inc., 2021. (AIP Conference Proceedings).

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title = "On stable difference scheme for identification elliptic problem with integral and second kind boundary condition",

abstract = "In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive stability estimates for solution of the difference scheme are described. Moreover, test example with computation results is given.",

keywords = "Difference schemes, Elliptic problem, Source identification, Stability",

author = "Charyyar Ashyralyyev",

note = "Publisher Copyright: {\textcopyright} 2021 American Institute of Physics Inc.. All rights reserved.; 4th International Conference of Mathematical Sciences, ICMS 2020 ; Conference date: 17-06-2020 Through 21-06-2020",

year = "2021",

month = mar,

day = "2",

doi = "10.1063/5.0042230",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

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 Ozay Gurtug and Ekrem Savas and Akay, {Kadri Ulas} and Sahin Uyaver and Charyyar Ashyralyyev and Sezer, {Sefa Anil} and Turkoglu, {Arap Duran} and Onvural, {Oruc Raif} and Hakan Sahin and Ucgun, {Filiz Cagatay}",

booktitle = "4th International Conference of Mathematical Sciences, ICMS 2020",

}

Ashyralyyev, C 2021, On stable difference scheme for identification elliptic problem with integral and second kind boundary condition. in H Cakalli, LDR Kocinac, A Ashyralyev, R Harte, M Dik, I Canak, HS Kandemir, M Tez, O Gurtug, E Savas, KU Akay, S Uyaver, C Ashyralyyev, SA Sezer, AD Turkoglu, OR Onvural, H Sahin & FC Ucgun (eds), 4th International Conference of Mathematical Sciences, ICMS 2020., 060010, AIP Conference Proceedings, vol. 2334, American Institute of Physics Inc., 4th International Conference of Mathematical Sciences, ICMS 2020, Istanbul, Turkey, 17/06/20. https://doi.org/10.1063/5.0042230

On stable difference scheme for identification elliptic problem with integral and second kind boundary condition. / Ashyralyyev, Charyyar.
4th International Conference of Mathematical Sciences, ICMS 2020. ed. / Huseyin Cakalli; Ljubisa D. R. Kocinac; Allaberen Ashyralyev; Robin Harte; Mehmet Dik; Ibrahim Canak; Hacer Sengul Kandemir; Mujgan Tez; Ozay Gurtug; Ekrem Savas; Kadri Ulas Akay; Sahin Uyaver; Charyyar Ashyralyyev; Sefa Anil Sezer; Arap Duran Turkoglu; Oruc Raif Onvural; Hakan Sahin; Filiz Cagatay Ucgun. American Institute of Physics Inc., 2021. 060010 (AIP Conference Proceedings; Vol. 2334).

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

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AU - Ashyralyyev, Charyyar

PY - 2021/3/2

Y1 - 2021/3/2

N2 - In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive stability estimates for solution of the difference scheme are described. Moreover, test example with computation results is given.

AB - In this study, the first order of accuracy difference scheme for approximate solution of source identification elliptic problem with integral and second kind boundary conditions is considered. Stability and coercive stability estimates for solution of the difference scheme are described. Moreover, test example with computation results is given.

KW - Difference schemes

KW - Elliptic problem

KW - Source identification

KW - Stability

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M3 - Conference contribution

AN - SCOPUS:85102292082

T3 - AIP Conference Proceedings

BT - 4th International Conference of Mathematical Sciences, ICMS 2020

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 - Gurtug, Ozay

A2 - Savas, Ekrem

A2 - Akay, Kadri Ulas

A2 - Uyaver, Sahin

A2 - Ashyralyyev, Charyyar

A2 - Sezer, Sefa Anil

A2 - Turkoglu, Arap Duran

A2 - Onvural, Oruc Raif

A2 - Sahin, Hakan

A2 - Ucgun, Filiz Cagatay

PB - American Institute of Physics Inc.

T2 - 4th International Conference of Mathematical Sciences, ICMS 2020

Y2 - 17 June 2020 through 21 June 2020

ER -

Ashyralyyev C. On stable difference scheme for identification elliptic problem with integral and second kind boundary condition. In Cakalli H, Kocinac LDR, Ashyralyev A, Harte R, Dik M, Canak I, Kandemir HS, Tez M, Gurtug O, Savas E, Akay KU, Uyaver S, Ashyralyyev C, Sezer SA, Turkoglu AD, Onvural OR, Sahin H, Ucgun FC, editors, 4th International Conference of Mathematical Sciences, ICMS 2020. American Institute of Physics Inc. 2021. 060010. (AIP Conference Proceedings). doi: 10.1063/5.0042230

On stable difference scheme for identification elliptic problem with integral and second kind boundary condition

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