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

B.T. Johansson, D. Lesnic, T. Reeve

Research output: Contribution to journalArticle

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.
Original languageEnglish
Pages (from-to)4367–4378
Number of pages11
JournalApplied Mathematical Modelling
Volume35
Issue number9
Early online date21 Mar 2011
DOIs
Publication statusPublished - Sep 2011

Keywords

  • heat conduction
  • method of fundamental solutions (MFS)
  • inverse Stefan problem

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