Affiliation:
1. 1Faculty of Computational Mathematics and Cybernetics, Moscow State University, Vorob'evy Gory, Moscow, 119899, Russia.
Abstract
AbstractThe paper deals with the stability, with respect to initial data, of
difference schemes that approximate the heat-conduction equation with constant coefficients and nonlocal boundary conditions. Some difference schemes are considered
for the one-dimensional heat-conduction equation, the energy norm is constructed, and
the necessary and sufficient stability conditions in this norm are established for explicit
and weighted difference schemes.
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Cited by
13 articles.
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