two simple numerical methods for the free boundary in one-phase stefan problem
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ID: 136576
2014
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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.
| Reference Key |
kim2014journaltwo
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|---|---|
| Authors | ;Seung Hyun Kim |
| Journal | Chemico-biological interactions |
| Year | 2014 |
| DOI |
10.1155/2014/764532
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| URL | |
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