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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am42-1-1,
author = {Agnieszka Bart\l omiejczyk and Henryk Leszczy\'nski and Artur Poli\'nski},
title = {Thermal ablation modeling via the bioheat equation and its numerical treatment},
journal = {Applicationes Mathematicae},
volume = {42},
year = {2015},
pages = {1-12},
zbl = {06440596},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am42-1-1}
}
Agnieszka Bartłomiejczyk; Henryk Leszczyński; Artur Poliński. Thermal ablation modeling via the bioheat equation and its numerical treatment. Applicationes Mathematicae, Tome 42 (2015) pp. 1-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am42-1-1/