MONOTONE DIFFERENCE SCHEMES FOR SYSTEMS OF ELLIPTIC AND PARABOLIC EQUATIONS
Abstract
In this article, for the canonical form of vector-difference schemes under the positivity conditions of matrix coefficients the two-sided estimates for an approximate solution at the arbitrary non sign- constant input data of the problem are obtained. The obtained results are used for deriving two-swided estimates and a priori estimates in the norm C of monotone vector-difference schemes that approximate the weakly coupled systems of elliptic and parabolic equations with the Dirichlet foundary conditions.
About the Authors
FRANCISCO GASPAR
University of Saragosa
Spain
Spain
PIOTR MATUS
Institute of Mathematics of the National Academy of Sciences of Belarus; Catholic University of Lublin, Poland
Belarus
Belarus
VO THI KIM TUYEN
Belarusian State University
Belarus
Belarus
LE MINH HIEU
Belarusian State University
Belarus
Belarus
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