Adaptation of the Method Of Lines (MOL) to the MATLAB Code for the Analysis of the Stefan Problem

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Abstract: This paper describes the application of the potent Method Of Lines (MOL) to the classical one-dimensional Stefan problem. The mathematical model of the Stefan problem experiences unique features, such as structural changes in the ordinary differential equation that describes the solid-liquid interface of a half-space region. To overcome these obstacles, MOL was implemented with the ordinary differential equation solver of the MATLAB code, using the unique event location property. The feasibility of MOL for treating the Stefan problem was validated upon comparing the obtained semi-numerical results against the exact analytical results available in the archival literature. Using a wide variety of Stefan numbers for engineering applications, it was realized that the Method Of Lines (MOL) coupled with the event location property tracked the temperature-time history and the moving liquid-solid interface in the half-space region admirably.

WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 9, 2014, Art. #3

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Antonio Campo, Ulises Lacoa, "Adaptation of the Method Of Lines (MOL) to the MATLAB Code for the Analysis of the Stefan Problem," WSEAS Transactions on Heat and Mass Transfer, vol. 9, pp. 19-26, 2014, DOI:
Antonio Campo, Ulises Lacoa. Adaptation of the Method Of Lines (MOL) to the MATLAB Code for the Analysis of the Stefan Problem. WSEAS Transactions on Heat and Mass Transfer. 2014;9:19-26.
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