A heat polynomials method for the two-phase inverse Stefan problem

Samat A. Kassabek, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper, we extend the heat polynomials method (HPM) proposed by the authors for one-dimensional one-phase inverse Stefan problem to the two-phase case. The solution of the problem is presented in the form of linear combination of heat polynomials. The coefficients of this combination can be determined by satisfying the initial and boundary conditions or by the least square method for the boundary of a domain. The inverse problem is ill-posed, therefore, the regularization will be taken into account. Our numerical results are compared with results obtained by another method and show good enough accuracy.

Original languageEnglish
Article number129
JournalComputational and Applied Mathematics
Volume42
Issue number3
DOIs
Publication statusPublished - Apr 2023

Keywords

  • Approximate solution
  • Heat flux
  • Heat polynomials method
  • Moving boundary
  • Two-phase inverse Stefan problems

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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