Finite difference method for the reverse parabolic problem

Charyyar Ashyralyyev; Ayfer Dural; Yasar Sozen

doi:10.1155/2012/294154

Finite difference method for the reverse parabolic problem

Charyyar Ashyralyyev, Ayfer Dural, Yasar Sozen

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet 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
Article number	294154
Journal	Abstract and Applied Analysis
Volume	2012
DOIs	https://doi.org/10.1155/2012/294154
Publication status	Published - 2012
Externally published	Yes

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

abstract = "A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet 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.",

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

year = "2012",

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AU - Dural, Ayfer

AU - Sozen, Yasar

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AB - A finite difference method for the approximate solution of the reverse multidimensional parabolic differential equation with a multipoint boundary condition and Dirichlet 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.

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DO - 10.1155/2012/294154

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SN - 1085-3375

VL - 2012

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 294154

ER -

Finite difference method for the reverse parabolic problem

Abstract

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