Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions

Charyyar Ashyralyyev; Ahmet Gönenç

doi:10.1063/5.0040289

Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions

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

Abstract

In this work, we consider approximation of nonlocal reverse parabolic problem with second kind boundary and integral conditions. Stability and coercive stability estimates for solution of difference scheme are obtained. Some illustrations of numerical results in examples of one and two dimensional reverse parabolic equations are presented.

Original language	English
Title of host publication	International Conference on Analysis and Applied Mathematics, ICAAM 2020
Editors	Allaberen Ashyralyev, Allaberen Ashyralyev, Allaberen Ashyralyev, Charyyar Ashralyyev, Abdullah S. Erdogan, Alexey Lukashov, Alexey Lukashov, Makhmud Sadybekov
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735440692
DOIs	https://doi.org/10.1063/5.0040289
Publication status	Published - 9 Feb 2021
Externally published	Yes
Event	5th International Conference on Analysis and Applied Mathematics, ICAAM 2020 - Mersin, Turkey Duration: 23 Sept 2020 → 30 Sept 2020

Publication series

Name	AIP Conference Proceedings
Volume	2325
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	5th International Conference on Analysis and Applied Mathematics, ICAAM 2020
Country/Territory	Turkey
City	Mersin
Period	23/09/20 → 30/09/20

Access to Document

10.1063/5.0040289

Cite this

Ashyralyyev, C., & Gönenç, A. (2021). Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions. In A. Ashyralyev, A. Ashyralyev, A. Ashyralyev, C. Ashralyyev, A. S. Erdogan, A. Lukashov, A. Lukashov, & M. Sadybekov (Eds.), International Conference on Analysis and Applied Mathematics, ICAAM 2020 Article 020005 (AIP Conference Proceedings; Vol. 2325). American Institute of Physics Inc.. https://doi.org/10.1063/5.0040289

Ashyralyyev, Charyyar ; Gönenç, Ahmet. / Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions. International Conference on Analysis and Applied Mathematics, ICAAM 2020. editor / Allaberen Ashyralyev ; Allaberen Ashyralyev ; Allaberen Ashyralyev ; Charyyar Ashralyyev ; Abdullah S. Erdogan ; Alexey Lukashov ; Alexey Lukashov ; Makhmud Sadybekov. American Institute of Physics Inc., 2021. (AIP Conference Proceedings).

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title = "Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions",

abstract = "In this work, we consider approximation of nonlocal reverse parabolic problem with second kind boundary and integral conditions. Stability and coercive stability estimates for solution of difference scheme are obtained. Some illustrations of numerical results in examples of one and two dimensional reverse parabolic equations are presented.",

author = "Charyyar Ashyralyyev and Ahmet G{\"o}nen{\c c}",

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publisher = "American Institute of Physics Inc.",

editor = "Allaberen Ashyralyev and Allaberen Ashyralyev and Allaberen Ashyralyev and Charyyar Ashralyyev and Erdogan, {Abdullah S.} and Alexey Lukashov and Alexey Lukashov and Makhmud Sadybekov",

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Ashyralyyev, C & Gönenç, A 2021, Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions. in A Ashyralyev, A Ashyralyev, A Ashyralyev, C Ashralyyev, AS Erdogan, A Lukashov, A Lukashov & M Sadybekov (eds), International Conference on Analysis and Applied Mathematics, ICAAM 2020., 020005, AIP Conference Proceedings, vol. 2325, American Institute of Physics Inc., 5th International Conference on Analysis and Applied Mathematics, ICAAM 2020, Mersin, Turkey, 23/09/20. https://doi.org/10.1063/5.0040289

Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions. / Ashyralyyev, Charyyar; Gönenç, Ahmet.
International Conference on Analysis and Applied Mathematics, ICAAM 2020. ed. / Allaberen Ashyralyev; Allaberen Ashyralyev; Allaberen Ashyralyev; Charyyar Ashralyyev; Abdullah S. Erdogan; Alexey Lukashov; Alexey Lukashov; Makhmud Sadybekov. American Institute of Physics Inc., 2021. 020005 (AIP Conference Proceedings; Vol. 2325).

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

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Ashyralyyev C, Gönenç A. Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions. In Ashyralyev A, Ashyralyev A, Ashyralyev A, Ashralyyev C, Erdogan AS, Lukashov A, Lukashov A, Sadybekov M, editors, International Conference on Analysis and Applied Mathematics, ICAAM 2020. American Institute of Physics Inc. 2021. 020005. (AIP Conference Proceedings). doi: 10.1063/5.0040289

Numerical solution of the nonlocal reverse parabolic problem with second kind boundary and integral conditions

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