Thermal ablation modeling via the bioheat equation and its numerical treatment
Volume 42 / 2015
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.