MONOTONE DIFFERENCE SCHEMES ON NON-UNIFORM GRIDS FOR 2D QUASI-LINEAR PARABOLIC CONVECTION–DIFFUSION EQUATION
Abstract
Abstract. The present paper is devoted to the construction of monotone difference second-order schemes for local approximation on non-uniform grids in space for 2D quasi-linear parabolic convection–diffusion equation. Two-sided estimates of the difference solution are found and an important a priori estimate in a uniform norm C is proved.
About the Authors
P. P. Matus
Institute of Mathematics of the National Academy of Sciences of Belarus;
John Paul II Catholic University of Lublin, Lublin, Poland
Belarus
Belarus
D. Sc. (Physics and Mathematics), Professor
Le. Minh Hieu
Belarusian State University
Belarus
Belarus
Postgraduate student
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