On convergence of a finite difference scheme to solution of the third boundary value problem for a system of abstract elliptic equations

A. G. Kamenskii, G. A. Kamenskii

Moscow Aviation Institute (State University of Aerospace Technologies)

Abstract: There is considered the third boundary value problem for abstract elliptic equations. The problem of stability of solutions to a system of elliptic equations on a restricted domain by non-smooth perturbations of the boundary of this domain is studied. There are proposed a difference scheme for an approximate solution of the considered problem and the conditions for the convergence of solutions of this scheme to the exact solution of the problem.

Key words: elliptic type equations, difference schemes, boundary value problems.

UDC: 517.929, 519.62

Received: 10.03.2004
Revised: 07.10.2004

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