Abstract
A Stefan-type problem is considered. This is an initial-boundary value problem on a composite domain for a parabolic reaction-diffusion equation with amoving interface boundary. At the moving boundary between the two subdomains, an interface condition is prescribed for the solution of the problem and its derivatives. A finite difference scheme is constructed that approximates the initial-boundary value problem. An iterative Newton-type method for the solution of the difference scheme and a numerical method for the analysis of the errors of the computed discrete solutions are both developed.
| Original language | English |
|---|---|
| Pages (from-to) | 119-142 |
| Number of pages | 24 |
| Journal | Mathematical Modelling and Analysis |
| Volume | 16 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Mar 2011 |
Keywords
- Composite domain
- Finite difference scheme
- Initial-boundary value problem
- Iterative newton-type method
- Moving interface boundary
- Parabolic reaction-diffusion equation
- Stefan-type problem