Abstract:
The third boundary value problem for a loaded heat equation in a $p$-dimensional parallelepiped is considered. An a priori estimate for the solution to a locally one-dimensional scheme is derived, and the convergence of the scheme is proved.
Key words:boundary value problem, loaded heat equation, difference scheme, scheme convergence, total approximation, embedding theorem, a priori estimate.
Fulltext:
PDF file (640 kB)