The paper deals with a well-known finite difference method for solving the one-dimensional two-phase Stefan problem. Under assumptions on the data which assure a regularity
of the temperature and the moving boundary -convergence rates for the approximations of and are derived. Additionally, a case of much weaker regularity is considered.
Cite this article
Uwe Streit, Error Estimates for the Explicit Finite Difference Method Solving the Stefan Problem. Z. Anal. Anwend. 8 (1989), no. 1, pp. 57–68DOI 10.4171/ZAA/336