Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem

Charyyar Ashyralyyev; Gulzipa Akyuz

doi:10.1063/5.0042231

Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem

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

Abstract

In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdetermined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established.

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/10.1063/5.0042231
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
High order approximation
Multi-point
Source identification problem
Stability

Access to Document

10.1063/5.0042231

Cite this

Ashyralyyev, C., & Akyuz, G. (2021). Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem. 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 060011 (AIP Conference Proceedings; Vol. 2334). American Institute of Physics Inc.. https://doi.org/10.1063/5.0042231

Ashyralyyev, Charyyar ; Akyuz, Gulzipa. / Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem. 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 = "Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem",

abstract = "In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdetermined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established.",

keywords = "Difference schemes, Elliptic problem, High order approximation, Multi-point, Source identification problem, Stability",

author = "Charyyar Ashyralyyev and Gulzipa Akyuz",

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",

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doi = "10.1063/5.0042231",

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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}",

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Ashyralyyev, C & Akyuz, G 2021, Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem. 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., 060011, 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/10.1063/5.0042231

Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem. / Ashyralyyev, Charyyar; Akyuz, Gulzipa.
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. 060011 (AIP Conference Proceedings; Vol. 2334).

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

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AU - Ashyralyyev, Charyyar

AU - Akyuz, Gulzipa

PY - 2021/3/2

Y1 - 2021/3/2

N2 - In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdetermined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established.

AB - In this work, we discuss a third order of accuracy difference scheme for approximate solution of the elliptic overdetermined multi-point problem in the Hilbert space. Functional operator approach is used to study existence and uniqueness of solution of difference problem. Stability, almost coercive stability and coercive stability estimates for solution of difference scheme are established.

KW - Difference schemes

KW - Elliptic problem

KW - High order approximation

KW - Multi-point

KW - Source identification problem

KW - Stability

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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, Akyuz G. Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem. 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. 060011. (AIP Conference Proceedings). doi: 10.1063/5.0042231

Stability estimates for a third order of accuracy difference scheme elliptic overdetermined multi-point problem

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