Thermal ablation modeling via the bioheat equation and its numerical treatment

Agnieszka Bartłomiejczyk; Henryk Leszczyński; Artur Poliński

Applicationes Mathematicae (2015)

  • Volume: 42, Issue: 1, page 1-12
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Agnieszka Bartłomiejczyk, Henryk Leszczyński, and Artur Poliński. "Thermal ablation modeling via the bioheat equation and its numerical treatment." Applicationes Mathematicae 42.1 (2015): 1-12. <http://eudml.org/doc/280049>.

@article{AgnieszkaBartłomiejczyk2015,
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.},
author = {Agnieszka Bartłomiejczyk, Henryk Leszczyński, Artur Poliński},
journal = {Applicationes Mathematicae},
keywords = {bioheat equation; implicit numerical scheme},
language = {eng},
number = {1},
pages = {1-12},
title = {Thermal ablation modeling via the bioheat equation and its numerical treatment},
url = {http://eudml.org/doc/280049},
volume = {42},
year = {2015},
}

TY - JOUR
AU - Agnieszka Bartłomiejczyk
AU - Henryk Leszczyński
AU - Artur Poliński
TI - Thermal ablation modeling via the bioheat equation and its numerical treatment
JO - Applicationes Mathematicae
PY - 2015
VL - 42
IS - 1
SP - 1
EP - 12
AB - 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.
LA - eng
KW - bioheat equation; implicit numerical scheme
UR - http://eudml.org/doc/280049
ER -

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