Abstract
AbstractA parabolic problem defined on unbounded domains and admitting invariance property to Lie group of scalings can be transformed into an equivalent boundary value problem governed by an ODE defined on an infinite interval. A free boundary formulation and a convergence theorem for this kind of transformed problems are available in [Fazio, SIAM J. Numer. Anal., 33 (1996), pp. 1473‐1484]. Depending on its scaling invariance properties, the free boundary problem is then solved numerically using either an iterative or a non‐iterative method. Finally, the solution of the parabolic problem is retrieved applying the inverse map of similarity. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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