A difference scheme for solving two phase Stefan problem of heat equation

DOI10.2977/prims/1195187207zbMath0471.65083OpenAlexW2063590766MaRDI QIDQ1157689

Tatsuo Nogi

Publication date: 1980

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/1195187207

zbMATH Keywords

finite difference methodone-dimensional two-phase Stefan problemsemi implicit method

Mathematics Subject Classification ID

Heat equation (35K05) Thermodynamics of continua (80A17) Free boundary problems for PDEs (35R35) Finite difference methods for boundary value problems involving PDEs (65N06) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

A mathematical one-dimensional model of supercooling solidification ⋮ Solution to the 1D Stefan problem using the unified transform method

Cites Work

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• Classical solutions of the one-dimensional, two-phase Stefan problem
• A difference scheme for solving the Stefan problem
• A two phase Stefan problem with temperature boundary conditions
• Continuous differentiability of the free boundary for weak solutions of the Stefan problem
• The Stefan Problem in Several Space Variables
• One Dimensional Stefan Problems with Nonmonotone Free Boundary

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