Geodesic
A local-one -dimensional scheme of the first regional task for a laden equation of thermal conductivity in r-dimensional parallelepiped
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2009), pp. 140-148

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In this work the first regional task for laden equation of heat conductivity in p-dimensional parallelepiped is considered. The a priori estimates for solving the local-one-dimensional schemes (LOS) were got. Under some certain conditions on the coefficients of the equation the convergence of the built LOS for the concerned region tasks for laden equation in multidimensional region was proved.
Keywords: regional tasks; a laden equation; a different scheme; the convergence of a scheme; summary approcsimation; different analogues of theorems of enclosure. 
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     author = {F. M. Nakhusheva and N. I. Lafisheva},
     title = {A local-one -dimensional scheme of the first regional task for a laden equation of thermal conductivity in r-dimensional parallelepiped},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {140--148},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2009_2_a0/}
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F. M. Nakhusheva; N. I. Lafisheva. A local-one -dimensional scheme of the first regional task for a laden equation of thermal conductivity in r-dimensional parallelepiped. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2009), pp. 140-148. http://geodesic.mathdoc.fr/item/IZKAB_2009_2_a0/