Abstract
Many practical applications require the detailed study of the thermal behavior of different systems. The difficulties arise when these systems are inhomogeneous with respect to the parameters involved in the heat diffusion process. Currently, the heat diffusion equation has no analytical solution in this case. There exists however a wide range of methods to approximate the solution of the heat diffusion equation in inhomogeneous systems, starting from the numerical methods and ending with the exact analytical solution for a few particular cases, each of them presenting specific advantages and disadvantages [1-6]. We assume that the source term in the heat equation has the form:
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