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Browsing by Subject "Pennes equation"

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    Item type:Article, Access status: Open Access ,
    An interval finite difference method for the bioheat transfer problem described by the Pennes equation with uncertain parameters
    (2012) Jankowska, Małgorzata Aleksandra; Sypniewska-Kamińska, Grażyna
    In this paper the transient bioheat transfer problem given by the one-dimensional Pennes equation with mixed boundary conditions is considered. The model assumes the heat transfer between the skin and its surroundings in the case of a natural and forced convection. For computations the interval finite difference method of Crank-Nicolson type together with the floating-point interval arithmetic is used. In this way, uncertain geometric and thermophysical parameters can be represented in the form of intervals as well as the resultant temperature distribution over time.