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3D thermal wave model of bioheat transfer : solution by means of finite difference method

Kałuża G., Majchrzak E.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2007

Vol. 6, nr 1

91-98

Up to the present, the models describing temperature distribution in the biological tissue as a rule based on the Pennes bioheat transfer equation. Taking into account the nonhomogeneous inner structure of tissue the heat conduction proceeding in this domain should be described by the hyperbolic equation. In the paper the algorithm of numerical solution of hyperbolic heat conduction equation is presented. The explicit variant of finite differences method is applied and the results of computations are shown.

Application of FDM for numerical solution of hyperbolic heat conduction equation

Majchrzak E., Mendakiewicz J.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2006

Vol. 5, nr 1

134-139

In the paper the algorithm of numerical solution of hyperbolic heat conduction equation is presented. The ex plicit and implicit variants of finite differences method are applied and the results of computations are shown.