Abstract
Beginning with the one-dimensional one-phase Stefan problem we have applied the method of lines during the past twenty years to a variety of fixed and free boundary problems of increasing size and complexity. One phase reaction-diffusion systems in ℝ2 with multiple free boundaries, the two-dimensional Stefan problem with a Gibbs Thomson interface condition, and a two-dimensional Stefan problem with a globally defined free boundary condition are among these. We have now assembled a modular general purpose computer code which can be applied to general multi-dimensional reaction-diffusion systems with free boundaries. In particular, it applies to all the problems mentioned above and their analog formulations in ℝ3.
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References
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© 1991 Springer Basel AG
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Meyer, G.H. (1991). Front Tracking of Free Boundaries with Curvature Terms. In: Neittaanmäki, P. (eds) Numerical Methods for Free Boundary Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 99. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5715-4_24
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DOI: https://doi.org/10.1007/978-3-0348-5715-4_24
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