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Zbl 1021.80004
Caldwell, J.; Kwan, Y.Y.
On the perturbation method for the Stefan problem with time-dependent boundary conditions.
(English)
[J] Int. J. Heat Mass Transfer 46, No.8, 1497-1501 (2003). ISSN 0017-9310

Summary: Perturbation methods are developed for Stefan problems with time-dependent boundary conditions. The methods are applied to melting of ice in the half-plane, outward spherical solidification and outward cylindrical solidification of a saturated liquid. The results are shown to compare well with those obtained by other numerical methods.
MSC 2000:
*80M25 Other numerical methods
80A22 Stefan problems, etc.

Keywords: moving boundary; Stefan problem; perturbation method

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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