Abstract
In this paper, free surface problems of Stefan type for the parabolic heat equation are considered. The analytical solutions of the problems are based on the method of heat polynomials and integral error function in the form of series. Convergence of the series solution is considered and proved. Both one-and two-phase Stefan-type problems are investigated. Numerical results for one-phase inverse Stefan problem are presented and discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 627-646 |
| Number of pages | 20 |
| Journal | Journal of Inverse and Ill-Posed Problems |
| Volume | 32 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Aug 1 2024 |
| Externally published | Yes |
Keywords
- analytical and approximate solutions
- Method of special functions and the heat polynomials method
- Stefan-type problems
ASJC Scopus subject areas
- Applied Mathematics