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Zbl 1183.80093
Sadoun, Nacer; Si-Ahmed, El-Khider; Colinet, Pierre
On the refined integral method for the one-phase Stefan problem with time-dependent boundary conditions. (English)
[J] Appl. Math. Modelling 30, No. 6, 531-544 (2006). ISSN 0307-904X

In this paper, the Stefan problem with time-dependent temperature applied to exchange surface is considered. The approach is based on the refined integral heat balance technique. The method is applied to phase change in the half-plane and an ordinary differential equation is obtained for the solid/liquid interface. The results are compared to those obtained by integral heat balance, perturbation technique and numerical methods.
[Damian Słota (Gliwice)]
MSC 2000:
*80A22 Stefan problems, etc.

Keywords: Stefan problem; refined integral heat balance

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