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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.
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.
Language: Russian Download the full text
For citation: Bazzaev A. K. Local one-dimensional scheme for the third boundary† value problem for the heat equation. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], 2011, vol. 13, no. 1, pp. 3-12. DOI 10.23671/VNC.2011.1.11345
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