A comparative study on applying the method of fundamental solutions to the backward heat conduction 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 backward heat conduction problem (BHCP). We extend the MFS in Johansson and Lesnic (2008) [5] and Johansson et al. (in press) [6] proposed for one and two-dimensional direct heat conduction problems, respectively, with the sources placed outside the space domain of interest. 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)403-416
Number of pages14
JournalMathematical and Computer Modelling
Volume54
Issue number1-2
DOIs
Publication statusPublished - Jul 2011

Fingerprint

Method of Fundamental Solutions
Heat Conduction
Heat conduction
Comparative Study
Numerical Investigation
Computational Cost
Numerical methods
Costs

Keywords

  • heat conduction
  • inverse problem
  • method of fundamental solutions

Cite this

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A comparative study on applying the method of fundamental solutions to the backward heat conduction problem. / Johansson, B.T.; Lesnic, D.; Reeve, T.

In: Mathematical and Computer Modelling, Vol. 54, No. 1-2, 07.2011, p. 403-416.

Research output: Contribution to journalArticle

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