Geodesic
Local one-dimensional scheme for the third boundary value problem for the heat equation
Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 1, pp. 3-12

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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. 
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     author = {A. K. Bazzaev},
     title = {Local one-dimensional scheme for the third boundary value problem for the heat equation},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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A. K. Bazzaev. Local one-dimensional scheme for the third boundary value problem for the heat equation. Vladikavkazskij matematičeskij žurnal, Tome 13 (2011) no. 1, pp. 3-12. http://geodesic.mathdoc.fr/item/VMJ_2011_13_1_a0/