A method of fundamental solutions for the one-dimensional inverse Stefan problem

Bjorn Johansson, D Lesnic, T Reeve

Research output: Contribution to journalArticle

59 Citations (Scopus)

Abstract

We investigate an application of the method of fundamental solutions (MFS) to the one-dimensional inverse Stefan problem for the heat equation by extending the MFS proposed in [5] for the one-dimensional direct Stefan problem. The sources are placed outside the space domain of interest and in the time interval (-T,T). Theoretical properties of the method, as well as numerical investigations, are included, showing that accurate and stable results can be obtained efficiently with small computational cost. (C) 2011 Elsevier Inc. All rights reserved.
Original languageEnglish
Pages (from-to)4367-4378
Number of pages12
JournalApplied Mathematical Modelling
Volume35
Issue number9
DOIs
Publication statusPublished - 1 Sept 2011

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