Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639363 | Journal of Computational and Applied Mathematics | 2013 | 10 Pages |
Abstract
A nonlinear degenerate convection–diffusion initial boundary value problem is studied in a bounded domain. A dynamical boundary condition (containing the time derivative of a solution) is prescribed on the one part of the boundary. This models a non-perfect contact on the boundary. The existence and uniqueness of a weak solution in corresponding function spaces is proved using the backward Euler method for the time discretization. Error estimates for time-discrete approximations are derived.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Vladimír Vrábel’, Marián Slodička,