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|Title:||One dimensional parabolic free boundary problems|
|Authors:||Meyer, G H|
|Citation:||Maths Technical Papers (Brunel University). June 1975, pp 1-23|
|Abstract:||The method of lines is used to approximate explicit and implicit free boundary problems for a linear one dimensional diffusion equation with a sequence of free boundary problems for ordinary differential equations. It is shown that these equations have solutions which can be readily obtained with the method of invariant imbedding. It also is established for a model problem that the approximate solutions converge to a unique weak and (almost) classical solution as the discretization parameter goes to zero.|
|Appears in Collections:||Dept of Mathematics Research Papers|
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