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2014 Two Simple Numerical Methods for the Free Boundary in One-Phase Stefan Problem
Seung Hyun Kim
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/764532

Abstract

We present two simple numerical methods to find the free boundary in one-phase Stefan problem. The work is motivated by the necessity for better understanding of the solution surface (temperatures) near the free boundary. We formulate a log-transform function with the unfixed and fixed free boundary that has Lipschitz character near free boundary. We solve the quadratic equation in order to locate the free boundary in a time-recursive way. We also present several numerical results which illustrate a comparison to other methods.

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Seung Hyun Kim. "Two Simple Numerical Methods for the Free Boundary in One-Phase Stefan Problem." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/764532

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131851
MathSciNet: MR3219432
Digital Object Identifier: 10.1155/2014/764532

Rights: Copyright © 2014 Hindawi

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