A mathematical one-dimensional model of supercooling solidification

DOI10.2977/PRIMS/1195178511zbMath0622.35080OpenAlexW2008356186MaRDI QIDQ1090868

Tatsuo Nogi

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178511

zbMATH Keywords

existencesolidificationStefan problemnumerical approximationfree boundary problemsuniqueconvergent difference schemesupercooling effects

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

Errata of: A difference scheme for solving two phase Stefan problem of heat equation ⋮ A mathematical one-dimensional one-phase model of supercooling solidification

Cites Work

• Unnamed Item
• Remarks on the maximum principle for parabolic equations and its applications
• A mathematical one-dimensional one-phase model of supercooling solidification
• A difference scheme for solving two phase Stefan problem of heat equation
• A free boundary problem and an extension of Muskat's model

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