Stability analysis for the discrete finite element model of the Pennes bio-heat equation.

The bio-heat equation is a popular tool for determining how heat is distributed in living organisms. Moreover, the Pennes bio-heat equation is crucial in the field of ablation therapy computation. Using the finite element approach, we investigated the stability criteria for the bio-heat equation in this article. In a semi-discretized finite element formulation, first-order difference techniques are employed to discretize the time derivative term. When the implicit scheme is replaced with the explicit scheme, the time step becomes reliant on the thermal properties of the tissue and the eigenvalue of the global matrix. [ABSTRACT FROM AUTHOR]