A modified finite difference scheme for the Stefan problem

Author:
R. E. White

Journal:
Math. Comp. **41** (1983), 337-347

MSC:
Primary 65M10; Secondary 80A20

DOI:
https://doi.org/10.1090/S0025-5718-1983-0717690-4

MathSciNet review:
717690

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Abstract: In this paper we describe an algorithm which can be used to approximate the solution to the enthalpy formulation of the Stefan problem. We allow the thermal properties to have a space and temperature dependence. The algorithm is not explicit in the time variable and, hence, the stability condition on is not too severe. A proof of convergence is given and two numerical examples are presented.

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DOI:
https://doi.org/10.1090/S0025-5718-1983-0717690-4

Article copyright:
© Copyright 1983
American Mathematical Society