This article is cited in 1 paper

Local one-dimensional scheme for the third boundary value problem for the heat equation

A. K. Bazzaev

North-Ossetia State University, RUSSIA, Vladikavkaz

Abstract: In this paper we study the third boundary value problem for the heat equation with variable coefficients. By the method of energy inequalities, we find a priori estimate for difference problem. Stability and convergence of local one-dimensional schemes for the considered equation are proved.

Key words: local one-dimensional scheme, the third boundary value problem, the heat equation, a priori estimate, stability, convergence.

UDC: 519.633

Received: 05.06.2009