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 Vladikavkaz. Mat. Zh., 2011, Volume 13, Number 1, Pages 3–12 (Mi vmj370)

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

A. K. Bazzaev

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.

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UDC: 519.633

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}