Finite difference method for the reverse parabolic problem with Neumann condition

Charyyar Ashyralyyev; Ayfer Dural; Yasar Sozen

doi:10.1063/1.4747650

Finite difference method for the reverse parabolic problem with Neumann condition

Charyyar Ashyralyyev, Ayfer Dural, Yasar Sozen

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

15 Citations (Scopus)

Abstract

A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Neumann condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.

Original language	English
Title of host publication	First International Conference on Analysis and Applied Mathematics, ICAAM 2012
Pages	102-105
Number of pages	4
DOIs	https://doi.org/10.1063/1.4747650
Publication status	Published - 2012
Externally published	Yes
Event	1st International Conference on Analysis and Applied Mathematics, ICAAM 2012 - Gumushane, Turkey Duration: 18 Oct 2012 → 21 Oct 2012

Publication series

Name	AIP Conference Proceedings
Volume	1470
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	1st International Conference on Analysis and Applied Mathematics, ICAAM 2012
Country/Territory	Turkey
City	Gumushane
Period	18/10/12 → 21/10/12

Keywords

Multipoint nonlocal boundary value problems
almost coercive stability
reverse parabolic equations
stability
well-posedness

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10.1063/1.4747650

Cite this

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title = "Finite difference method for the reverse parabolic problem with Neumann condition",

abstract = "A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Neumann condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.",

keywords = "Multipoint nonlocal boundary value problems, almost coercive stability, reverse parabolic equations, stability, well-posedness",

author = "Charyyar Ashyralyyev and Ayfer Dural and Yasar Sozen",

year = "2012",

doi = "10.1063/1.4747650",

language = "English",

isbn = "9780735410770",

series = "AIP Conference Proceedings",

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note = "1st International Conference on Analysis and Applied Mathematics, ICAAM 2012 ; Conference date: 18-10-2012 Through 21-10-2012",

}

Ashyralyyev, C, Dural, A & Sozen, Y 2012, Finite difference method for the reverse parabolic problem with Neumann condition. in First International Conference on Analysis and Applied Mathematics, ICAAM 2012. AIP Conference Proceedings, vol. 1470, pp. 102-105, 1st International Conference on Analysis and Applied Mathematics, ICAAM 2012, Gumushane, Turkey, 18/10/12. https://doi.org/10.1063/1.4747650

Finite difference method for the reverse parabolic problem with Neumann condition. / Ashyralyyev, Charyyar; Dural, Ayfer; Sozen, Yasar.
First International Conference on Analysis and Applied Mathematics, ICAAM 2012. 2012. p. 102-105 (AIP Conference Proceedings; Vol. 1470).

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

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AU - Sozen, Yasar

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N2 - A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Neumann condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.

AB - A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Neumann condition is applied. Stability, almost coercive stability, and coercive stability estimates for the solution of the first and second orders of accuracy difference schemes are obtained. The theoretical statements are supported by the numerical example.

KW - Multipoint nonlocal boundary value problems

KW - almost coercive stability

KW - reverse parabolic equations

KW - stability

KW - well-posedness

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ER -

Finite difference method for the reverse parabolic problem with Neumann condition

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Keywords

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