A. K. Bazzaev, “Local one-dimensional scheme for the third boundary value problem for the heat equation”, Vladikavkaz. Mat. Zh., 13:1 (2011), 3

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Vladikavkazskii Matematicheskii Zhurnal, 2011, Volume 13, Number 1, Pages 3–12 (Mi vmj370)

This article is cited in 1 scientific paper (total in 1 paper)

Local one-dimensional scheme for the third boundary value problem for the heat equation

A. K. Bazzaev

North-Ossetia State University, RUSSIA, Vladikavkaz

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Abstract: In this paper we study the third boundary value problem for the heat equation with variable coefficients. By the method of energy inequalities, we find a priori estimate for difference problem. Stability and convergence of local one-dimensional schemes for the considered equation are proved.

Key words: local one-dimensional scheme, the third boundary value problem, the heat equation, a priori estimate, stability, convergence.

Received: 05.06.2009

Document Type: Article

UDC: 519.633

Language: Russian

Citation: A. K. Bazzaev, “Local one-dimensional scheme for the third boundary value problem for the heat equation”, Vladikavkaz. Mat. Zh., 13:1 (2011), 3–12

Citation in format AMSBIB

\Bibitem{Baz11}

\by A.~K.~Bazzaev

\paper Local one-dimensional scheme for the third boundary value problem for the heat equation

\jour Vladikavkaz. Mat. Zh.

\yr 2011

\vol 13

\issue 1

\pages 3--12

\mathnet{http://mi.mathnet.ru/vmj370}

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https://www.mathnet.ru/eng/vmj/v13/i1/p3

This publication is cited in the following 1 articles:

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