Analytical and Numerical Approximation Solution of Bio-heat Equation - Pandey, Hemraj;Gurung, Dil B.
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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…mehr

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Produktbeschreibung
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.
Autorenporträt
Hem Raj Pandey, Assistant Professor of Pokhara University Nepal, received his bachelor of Science from the Tribhuvan University Nepal, his master's in Mathematics from the Tribhuvan University Nepal and his M.phil from Department of Natural Sciences, Kathmandu University, Nepal. Research interests in the field of applied mathematics.