A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem

Charyyar Ashyralyyev; Gulzlpa Akyüz

doi:10.1063/1.5049003

A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem

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

Abstract

In this study, a third order of accuracy difference scheme for Bitsadze-Samarskii type multi-point elliptic overdetermined problem is studied. For solution of constructed difference problem stability, almost coercive stability and coercive stability estimates are established. The theoretical statements for the solution of this difference problem are supported by numerical results in test example by using Matlab.

Original language	English
Title of host publication	International Conference on Analysis and Applied Mathematics, ICAAM 2018
Editors	Allaberen Ashyralyev, Makhmud Sadybekov, Alexey Lukashov, Allaberen Ashyralyev
Publisher	American Institute of Physics Inc.
ISBN (Print)	9780735417137
DOIs	https://doi.org/10.1063/1.5049003
Publication status	Published - 6 Aug 2018
Externally published	Yes
Event	4th International Conference on Analysis and Applied Mathematics, ICAAM 2018 - Mersin 10, Turkey Duration: 6 Sept 2018 → 9 Sept 2018

Publication series

Name	AIP Conference Proceedings
Volume	1997
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	4th International Conference on Analysis and Applied Mathematics, ICAAM 2018
Country/Territory	Turkey
City	Mersin 10
Period	6/09/18 → 9/09/18

Access to Document

10.1063/1.5049003

Cite this

Ashyralyyev, C., & Akyüz, G. (2018). A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem. In A. Ashyralyev, M. Sadybekov, A. Lukashov, & A. Ashyralyev (Eds.), International Conference on Analysis and Applied Mathematics, ICAAM 2018 Article 020009 (AIP Conference Proceedings; Vol. 1997). American Institute of Physics Inc.. https://doi.org/10.1063/1.5049003

Ashyralyyev, Charyyar ; Akyüz, Gulzlpa. / A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem. International Conference on Analysis and Applied Mathematics, ICAAM 2018. editor / Allaberen Ashyralyev ; Makhmud Sadybekov ; Alexey Lukashov ; Allaberen Ashyralyev. American Institute of Physics Inc., 2018. (AIP Conference Proceedings).

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abstract = "In this study, a third order of accuracy difference scheme for Bitsadze-Samarskii type multi-point elliptic overdetermined problem is studied. For solution of constructed difference problem stability, almost coercive stability and coercive stability estimates are established. The theoretical statements for the solution of this difference problem are supported by numerical results in test example by using Matlab.",

author = "Charyyar Ashyralyyev and Gulzlpa Aky{\"u}z",

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Ashyralyyev, C & Akyüz, G 2018, A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem. in A Ashyralyev, M Sadybekov, A Lukashov & A Ashyralyev (eds), International Conference on Analysis and Applied Mathematics, ICAAM 2018., 020009, AIP Conference Proceedings, vol. 1997, American Institute of Physics Inc., 4th International Conference on Analysis and Applied Mathematics, ICAAM 2018, Mersin 10, Turkey, 6/09/18. https://doi.org/10.1063/1.5049003

A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem. / Ashyralyyev, Charyyar; Akyüz, Gulzlpa.
International Conference on Analysis and Applied Mathematics, ICAAM 2018. ed. / Allaberen Ashyralyev; Makhmud Sadybekov; Alexey Lukashov; Allaberen Ashyralyev. American Institute of Physics Inc., 2018. 020009 (AIP Conference Proceedings; Vol. 1997).

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

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Ashyralyyev C, Akyüz G. A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem. In Ashyralyev A, Sadybekov M, Lukashov A, Ashyralyev A, editors, International Conference on Analysis and Applied Mathematics, ICAAM 2018. American Institute of Physics Inc. 2018. 020009. (AIP Conference Proceedings). doi: 10.1063/1.5049003

A third order of accuracy difference scheme for Bitsadze-Samarskii type elliptic overdetermined multi-point problem

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