Showing a limited preview of this publication:
Abstract
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.
Keywords: Two-Dimensional Quasilinear Parabolic Equation; Finite Difference Schemes; Monotonicity; Maximum Principle; Convergence
Received: 2015-10-10
Revised: 2016-1-4
Accepted: 2016-1-11
Published Online: 2016-1-20
Published in Print: 2016-4-1
© 2016 by De Gruyter
