Geodesic
Thermal ablation modeling via the bioheat equation and its numerical treatment
Agnieszka Bartłomiejczyk 1   ; Henryk Leszczyński 2   ; Artur Poliński 3
1 Faculty of Applied Physics and Mathematics Gdańsk University of Technology Gabriela Narutowicza 11/12 80-233 Gdańsk, Poland
2 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
3 Faculty of Electronics, Telecommunications and Informatics Gdańsk University of Technology Gabriela Narutowicza 11/12 80-233 Gdańsk, Poland
Applicationes Mathematicae, Tome 42 (2015) no. 1, pp. 1-12 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am42-1-1
Keywords: phenomenon thermal ablation described pennes bioheat equation model based newtons law cooling many approximate methods have considered because importance issue propose implicit numerical scheme which has better stability properties other approaches

Agnieszka Bartłomiejczyk  1   ; Henryk Leszczyński  2   ; Artur Poliński  3

1 Faculty of Applied Physics and Mathematics Gdańsk University of Technology Gabriela Narutowicza 11/12 80-233 Gdańsk, Poland
2 Institute of Mathematics University of Gdańsk Wita Stwosza 57 80-952 Gdańsk, Poland
3 Faculty of Electronics, Telecommunications and Informatics Gdańsk University of Technology Gabriela Narutowicza 11/12 80-233 Gdańsk, Poland 
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 via the bioheat equation
 and its numerical treatment
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Agnieszka Bartłomiejczyk; Henryk Leszczyński; Artur Poliński. Thermal ablation modeling
 via the bioheat equation
 and its numerical treatment. Applicationes Mathematicae, Tome 42 (2015) no. 1, pp. 1-12. doi: 10.4064/am42-1-1

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