Two-phase inverse Stefan problems solved by heat polynomials method

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5 Citations (Scopus)


In this paper, two-phase inverse Stefan problem are investigated using the method of heat polynomials. The approximate solution of the problem is presented in the form of linear combination of heat polynomials. We present numerical results illustrating an application of the heat polynomials method for typical benchmark test examples. Due to ill-posedness of the problem, the regularization will be taken into account. Numerical results are discussed and compared with results obtained by another method.

Original languageEnglish
Article number114854
JournalJournal of Computational and Applied Mathematics
Publication statusPublished - Mar 15 2023


  • Approximate solution
  • Electrical contact phenomena
  • Heat polynomials method
  • Moving boundary
  • Two-phase inverse Stefan problems

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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