Second Order Monotone Difference Schemes with Approximation on Non-Uniform Grids for Two-Dimensional Quasilinear Parabolic Convection-Diffusion Equations.

Autor: Hieu, Le M., Thanh, Dang N. H., Surya Prasath, V. B.
Zdroj: Vestnik St. Petersburg University: Mathematics; Apr2020, Vol. 53 Issue 2, p232-240, 9p
Abstrakt: The present communication is devoted to the construction of monotone difference schemes of the second order of local approximation on non-uniform grids in space for 2D quasi-linear parabolic convection-diffusion equation. With the help of difference maximum principle, two-sided estimates of the difference solution are established and an important a priori estimate in a uniform norm C is proved. It is interesting to note that the maximal and minimal values of the difference solution do not depend on the diffusion and convection coefficients. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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