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The Fourier Heat Equation Applied to Beam-Water Phantom Interaction
M. Oane, C. Oproiu and M. Nemtanu

The purpose of this paper is to discuss various solutions for the basic Fourier heat equation. It is well know that solutions to the Fourier heat equation can only be obtained in simple analytical form when one is prepared to make a variety of assumptions regarding the spatial and temporal dependence of the heat source and the geometry of the sample. As the description of these boundary conditions becomes more and more rigorous in terms of the actual spatial and temporal dependence of the heat source, and the geometry of the sample then analytical and semi-analytical solutions of the Fourier heat equation can no longer be obtained. The main goal of the present paper is to establish the thermal fields in electron, hadrons and laser therapy.

Keywords: Fourier heat equation, laser, electron, hadrons therapy, thermal fields, computer simulations

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