A Singular Limit Method for the Stefan Problems

Hideki Murakawa () and Tatsuyuki Nakaki ()
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Hideki Murakawa: Kyushu University, Graduate School of Mathematics
Tatsuyuki Nakaki: Kyushu University, Faculty of Mathematics

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 651-657 from Springer

Abstract: Summary This paper proposes an approximation scheme to a classical one-phase Stefan problem. The scheme is constructed to represent a singular limit of certain reaction-diffusion system approximating to the Stefan problem. To this end, a timediscrete operator-splitting methodology is used. Numerical experiments demonstrate that the scheme would be useful in practical computations.

Keywords: Approximation Scheme; Stefan Problem; Singular Limit; Move Boundary Problem; Finite Difference Technique (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_63

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DOI: 10.1007/978-3-642-18775-9_63

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