Geodesic
On coincidence of the differential scheme of non-local border problem for pseudo-parabolic equation of the third order with variable factor
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2006), pp. 86-93 Cet article a éte moissonné depuis la source Math-Net.Ru

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This work presents the a priori estimation in differential form for the solution of a non-local border problem for pseudo-parabolic equation of the third order. Hence the uniqueness and stability of the solution by initial data and the right part in the norm $W^1_2 (0, l)$ on the layer, and also the difference scheme of the second order of approxi-mation by the steps of the grid. The scheme is stable in it’s right part and initial data and coincides, moreover, the degree of the accuracy coincides with the degree of approximation. Numeric experiments are performed.
Keywords: pseudoparabolic equation of third order, difference scheme
Mots-clés : convergence 
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M. KH. Beshtokov. On coincidence of the differential scheme of non-local border problem for pseudo-parabolic equation of the third order with variable factor. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2006), pp. 86-93. http://geodesic.mathdoc.fr/item/IZKAB_2006_2_a8/

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