Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem

Charyyar Ashyralyyev; Suzan Karabey

doi:10.1063/1.5136182

Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem

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

Abstract

In the present paper, Neumann type elliptic overdetermined multipoint boundary value problem is discussed. The first and second order of accuracy difference schemes (ADSs) for the numerical solution of elliptic overdetermined multipoint boundary value problems are presented. Stability estimates for solutions of difference schemes are obtained. Numerical results for mixed boundary value problem are given.

Original language	English
Title of host publication	3rd International Conference of Mathematical Sciences, ICMS 2019
Editors	Huseyin Cakalli, Ljubisa D. R. Kocinac, Robin Harte, Valeria Neves Domingos Cavalcanti, Allaberen Ashyralyev, Izzet Sakalli, Ibrahim Canak, Ozay Gurtug, Marcelo Moreira Cavalcanti, Duran Turkoglu, Mujgan Tez, Hacer Sengul Kandemir, Sahin Uyaver, Kadri Ulas Akay, Ilhan Gul, Temha Erkoc Yilmazturk, Tugba Akyel, Filiz Cagatay Ucgun, Hakan Sahin
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735419308
DOIs	https://doi.org/10.1063/1.5136182
Publication status	Published - 6 Dec 2019
Externally published	Yes
Event	3rd International Conference of Mathematical Sciences, ICMS 2019 - Istanbul, Turkey Duration: 4 Sept 2019 → 8 Sept 2019

Publication series

Name	AIP Conference Proceedings
Volume	2183
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	3rd International Conference of Mathematical Sciences, ICMS 2019
Country/Territory	Turkey
City	Istanbul
Period	4/09/19 → 8/09/19

Keywords

Difference schemes
Inverse elliptic problem
Numerical experience
Stability

Access to Document

10.1063/1.5136182

Cite this

Ashyralyyev, C., & Karabey, S. (2019). Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem. In H. Cakalli, L. D. R. Kocinac, R. Harte, V. N. D. Cavalcanti, A. Ashyralyev, I. Sakalli, I. Canak, O. Gurtug, M. M. Cavalcanti, D. Turkoglu, M. Tez, H. S. Kandemir, S. Uyaver, K. U. Akay, I. Gul, T. E. Yilmazturk, T. Akyel, F. C. Ucgun, & H. Sahin (Eds.), 3rd International Conference of Mathematical Sciences, ICMS 2019 Article 070020 (AIP Conference Proceedings; Vol. 2183). American Institute of Physics Inc.. https://doi.org/10.1063/1.5136182

Ashyralyyev, Charyyar ; Karabey, Suzan. / Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem. 3rd International Conference of Mathematical Sciences, ICMS 2019. editor / Huseyin Cakalli ; Ljubisa D. R. Kocinac ; Robin Harte ; Valeria Neves Domingos Cavalcanti ; Allaberen Ashyralyev ; Izzet Sakalli ; Ibrahim Canak ; Ozay Gurtug ; Marcelo Moreira Cavalcanti ; Duran Turkoglu ; Mujgan Tez ; Hacer Sengul Kandemir ; Sahin Uyaver ; Kadri Ulas Akay ; Ilhan Gul ; Temha Erkoc Yilmazturk ; Tugba Akyel ; Filiz Cagatay Ucgun ; Hakan Sahin. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).

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title = "Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem",

abstract = "In the present paper, Neumann type elliptic overdetermined multipoint boundary value problem is discussed. The first and second order of accuracy difference schemes (ADSs) for the numerical solution of elliptic overdetermined multipoint boundary value problems are presented. Stability estimates for solutions of difference schemes are obtained. Numerical results for mixed boundary value problem are given.",

keywords = "Difference schemes, Inverse elliptic problem, Numerical experience, Stability",

author = "Charyyar Ashyralyyev and Suzan Karabey",

note = "Publisher Copyright: {\textcopyright} 2019 Author(s).; 3rd International Conference of Mathematical Sciences, ICMS 2019 ; Conference date: 04-09-2019 Through 08-09-2019",

year = "2019",

month = dec,

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doi = "10.1063/1.5136182",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

editor = "Huseyin Cakalli and Kocinac, {Ljubisa D. R.} and Robin Harte and Cavalcanti, {Valeria Neves Domingos} and Allaberen Ashyralyev and Izzet Sakalli and Ibrahim Canak and Ozay Gurtug and Cavalcanti, {Marcelo Moreira} and Duran Turkoglu and Mujgan Tez and Kandemir, {Hacer Sengul} and Sahin Uyaver and Akay, {Kadri Ulas} and Ilhan Gul and Yilmazturk, {Temha Erkoc} and Tugba Akyel and Ucgun, {Filiz Cagatay} and Hakan Sahin",

booktitle = "3rd International Conference of Mathematical Sciences, ICMS 2019",

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Ashyralyyev, C & Karabey, S 2019, Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem. in H Cakalli, LDR Kocinac, R Harte, VND Cavalcanti, A Ashyralyev, I Sakalli, I Canak, O Gurtug, MM Cavalcanti, D Turkoglu, M Tez, HS Kandemir, S Uyaver, KU Akay, I Gul, TE Yilmazturk, T Akyel, FC Ucgun & H Sahin (eds), 3rd International Conference of Mathematical Sciences, ICMS 2019., 070020, AIP Conference Proceedings, vol. 2183, American Institute of Physics Inc., 3rd International Conference of Mathematical Sciences, ICMS 2019, Istanbul, Turkey, 4/09/19. https://doi.org/10.1063/1.5136182

Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem. / Ashyralyyev, Charyyar; Karabey, Suzan.
3rd International Conference of Mathematical Sciences, ICMS 2019. ed. / Huseyin Cakalli; Ljubisa D. R. Kocinac; Robin Harte; Valeria Neves Domingos Cavalcanti; Allaberen Ashyralyev; Izzet Sakalli; Ibrahim Canak; Ozay Gurtug; Marcelo Moreira Cavalcanti; Duran Turkoglu; Mujgan Tez; Hacer Sengul Kandemir; Sahin Uyaver; Kadri Ulas Akay; Ilhan Gul; Temha Erkoc Yilmazturk; Tugba Akyel; Filiz Cagatay Ucgun; Hakan Sahin. American Institute of Physics Inc., 2019. 070020 (AIP Conference Proceedings; Vol. 2183).

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

TY - GEN

T1 - Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem

AU - Ashyralyyev, Charyyar

AU - Karabey, Suzan

PY - 2019/12/6

Y1 - 2019/12/6

N2 - In the present paper, Neumann type elliptic overdetermined multipoint boundary value problem is discussed. The first and second order of accuracy difference schemes (ADSs) for the numerical solution of elliptic overdetermined multipoint boundary value problems are presented. Stability estimates for solutions of difference schemes are obtained. Numerical results for mixed boundary value problem are given.

AB - In the present paper, Neumann type elliptic overdetermined multipoint boundary value problem is discussed. The first and second order of accuracy difference schemes (ADSs) for the numerical solution of elliptic overdetermined multipoint boundary value problems are presented. Stability estimates for solutions of difference schemes are obtained. Numerical results for mixed boundary value problem are given.

KW - Difference schemes

KW - Inverse elliptic problem

KW - Numerical experience

KW - Stability

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AN - SCOPUS:85076705160

T3 - AIP Conference Proceedings

BT - 3rd International Conference of Mathematical Sciences, ICMS 2019

A2 - Cakalli, Huseyin

A2 - Kocinac, Ljubisa D. R.

A2 - Harte, Robin

A2 - Cavalcanti, Valeria Neves Domingos

A2 - Ashyralyev, Allaberen

A2 - Sakalli, Izzet

A2 - Canak, Ibrahim

A2 - Gurtug, Ozay

A2 - Cavalcanti, Marcelo Moreira

A2 - Turkoglu, Duran

A2 - Tez, Mujgan

A2 - Kandemir, Hacer Sengul

A2 - Uyaver, Sahin

A2 - Akay, Kadri Ulas

A2 - Gul, Ilhan

A2 - Yilmazturk, Temha Erkoc

A2 - Akyel, Tugba

A2 - Ucgun, Filiz Cagatay

A2 - Sahin, Hakan

PB - American Institute of Physics Inc.

T2 - 3rd International Conference of Mathematical Sciences, ICMS 2019

Y2 - 4 September 2019 through 8 September 2019

ER -

Ashyralyyev C, Karabey S. Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem. In Cakalli H, Kocinac LDR, Harte R, Cavalcanti VND, Ashyralyev A, Sakalli I, Canak I, Gurtug O, Cavalcanti MM, Turkoglu D, Tez M, Kandemir HS, Uyaver S, Akay KU, Gul I, Yilmazturk TE, Akyel T, Ucgun FC, Sahin H, editors, 3rd International Conference of Mathematical Sciences, ICMS 2019. American Institute of Physics Inc. 2019. 070020. (AIP Conference Proceedings). doi: 10.1063/1.5136182

Numerical solution of Neumann type elliptic overdetermined multipoint mixed boundary value problem

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