On the 2D bioheat equation with convective boundary conditions and its numerical realization via a highly accurate approach

A series solution for a 2D bioheat Pennes conduction model with convective boundary conditions is established by using the classical Fourier method. To validate and compare results, a numerical method for constructing highly accurate numerical solutions is also derived and numerically illustrated. Both, the series solution and the proposed numerical method open interesting possibilities of application in inverse perfusion coefficient identification problems.