Abstract
The identification of the space-dependent perfusion coefficient in the one-dimensional transient bio-heat conduction equation is investigated. While Dirichlet boundary conditions are assumed, the additional measurement necessary to render a unique solution is either a heat-flux measurement or a time-average temperature measurement inside the space region of interest. A numerical approach based on the Crank–Nicolson finite-difference scheme combined with the first-order Tikhonov’s regularization method is developed. Numerical results are presented and discussed.
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