MATHEMATICS. MATHEMATIC MODELING

A local-one -dimensional scheme of the first regional task for a laden equation of thermal conductivity in r-dimensional parallelepiped

F. M. Nakhusheva, N. I. Lafisheva

Kabardino-Balkar State University, Nal'chik

Abstract: 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.

UDC: 519.693

Received: 22.12.2008

Bibliographic databases:

•