The initial boundary-value problem for the two-dimensional quasi-linear heat conduction equation is considered. A new difference scheme approximating the equation is constructed. The main difference between the method proposed in the present paper and the other difference schemes is that for the traveling wave solutions the constructed scheme is exact if the grid steps satisfy certain conditions. The iteration method is used to solve a nonlinear difference equation.
© Institute of Mathematics, NAS of Belarus
This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.