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

Bazzaev A. K.
Vladikavkaz Mathematical Journal 2011. Vol. 13. Issue 1.

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.

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

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