Analytical and Numerical Approximation Solution of Bio-heat Equation

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A one-dimensional steady state bio-heat transfer model of temperature distribution in cylindrical living tissue is discussed using analytic and numerical approximation techniques. Bessel’s equation is used to obtained its corresponding analytic solution to observe the effects of the thermal conductivity, the blood perfusion, the metabolic heat generation and the heat transfer coefficient of the thermal system. The temperature distribution for cylindrical living tissue is further analyzed by Finite difference method and Galerkin Finite element method. The results obtained using these numerical approximation techniques are compared with the results obtained by analytic solution.

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