| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 7155187 | Communications in Nonlinear Science and Numerical Simulation | 2016 | 16 Pages |
Abstract
The aim of this paper is to design a rescaling algorithm for the numerical solution to the system of two porous medium equations defined on two different components of the real line, that are connected by the nonlinear contact condition. The algorithm is based on the self-similarity of solutions on different scales and it presents a space-time adaptable method producing more exact numerical solution in the area of the interface between the components, whereas the number of grid points stays fixed.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Ján Filo, Anna Hundertmark-ZauÅ¡ková,