| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4628680 | Applied Mathematics and Computation | 2013 | 9 Pages |
Abstract
We consider the degenerate nonlinear parabolic problem with a dynamical boundary condition∂tθ(u)-Δu=finΩ×(0,T),∂tβ(u)-ΔΓu+u+∇u·ν=0on∂Ω×(0,T),where ΔΓΔΓ stands for Laplace–Beltrami operator. Rothe’s method is used to address the unique solvability of the problem. Error estimates for a time and space discretization are provided. We support theoretical results with numerical experiments.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Vladimír Vrábel’, Marián Slodička,