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Thermal ablation modeling via the bioheat equation and its numerical treatment

Volume 42 / 2015

Agnieszka Bartłomiejczyk, Henryk Leszczyński, Artur Poliński Applicationes Mathematicae 42 (2015), 1-12 MSC: Primary 92C50; Secondary 65N06. DOI: 10.4064/am42-1-1

Abstract

The phenomenon of thermal ablation is described by Pennes' bioheat equation. This model is based on Newton's law of cooling. Many approximate methods have been considered because of the importance of this issue. We propose an implicit numerical scheme which has better stability properties than other approaches.

Authors

  • Agnieszka BartłomiejczykFaculty of Applied Physics and Mathematics
    Gdańsk University of Technology
    Gabriela Narutowicza 11/12
    80-233 Gdańsk, Poland
    e-mail
  • Henryk LeszczyńskiInstitute of Mathematics
    University of Gdańsk
    Wita Stwosza 57
    80-952 Gdańsk, Poland
    e-mail
  • Artur PolińskiFaculty of Electronics, Telecommunications and Informatics
    Gdańsk University of Technology
    Gabriela Narutowicza 11/12
    80-233 Gdańsk, Poland
    e-mail

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