Monotone economical schemes for quasilinear parabolic equations

In order to approximate a multidimensional quasilinear parabolic equation with unlimited nonlinearity the economical vector‐additive scheme is constructed. It is shown that its solution satisfies the maximum principle and, hence, the scheme is monotone. The proof is based on the equivalence of the v...

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Bibliographic Details
Main Authors: N. V. Dzenisenko, A. P. Matus, P. P. Matus
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2002-12-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9845