Monotone Finite Difference Schemes for Quasilinear Parabolic Problems with Mixed Boundary Conditions

被引：2

作者：

Jose Gaspar, Francisco ^{[1
]}

Javier Lisbona, Francisco ^{[1
]}

Matus, Piotr P. ^{[2
,3
]}

Vo Thi Kim Tuyen ^{[4
]}

机构：

[1] Univ Zaragoza, Dept Appl Math, Pedro Cerbuna 12, E-50009 Zaragoza, Spain

[2] John Paul II Catholic Univ Lublin, Inst Math & Comp Sci, Al Raclawickie 14, PL-20950 Lublin, Poland

[3] NAS Belarus, Inst Math, 11 Surganov Str, Minsk 20072, BELARUS

[4] Belarusian State Univ, 4 Nezavisimosti Ave, Minsk 220030, BELARUS

来源：

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2016年 / 16卷 / 02期

关键词：

Two-Dimensional Quasilinear Parabolic Equation; Finite Difference Schemes; Monotonicity; Maximum Principle; Convergence; STABILITY;

D O I：

10.1515/cmam-2016-0002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider finite difference methods for two-dimensional quasilinear parabolic problems with mixed Dirichlet-Neumann boundary conditions. Some strong two-side estimates for the difference solution are provided and convergence results in the discrete norm are proved. Numerical examples illustrate the good performance of the proposed numerical approach.

引用

页码：231 / 243

页数：13

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