A finite difference method for a Stefan problem

DOI10.1007/BF02576493zbMath0476.65087MaRDI QIDQ1159967

T. C. Smith

Publication date: 1981

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

numerical exampleStefan problemscrystallizing of liquidsmelting of solids

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Thermodynamics of continua (80A17) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Cites Work

• On the numerical integration of a parabolic differential equation subject to a moving boundary condition
• A difference scheme for solving the Stefan problem
• Classical solutions in the large of a two-phase free boundary problem. I
• Classical solutions in the large of a two-phase free boundary problem. II
• TWO METHODS FOR THE NUMERICAL SOLUTION OF MOVING-BOUNDARY PROBLEMS IN DIFFUSION AND HEAT FLOW
• On an Explicit Method for the Solution of a Stefan Problem
• The Stefan Problem in Several Space Variables
• Multidimensional Stefan Problems
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