The starting point in the study of the heat transfer and their applications is the solution of the heat diffusion equation with a particular boundary conditions kind congruent to the physical circumstances of the problem under consideration. Here, we calculate the solutions of the heat diffusion equation by means of the Green’s functions technique, constrained by Dirichlet, Neumann and Robin’s boundary conditions; making a comparison between the obtained solutions and discussing the behavior of the thermal response for every case. The calculations were done for an ideal homogonous solid sample, with a cylindrical symmetry, under the consideration of an arbitrary periodical heat source on one face of the sample. Finally, considering the particular case of a sinusoidal heat source, usually used for the standard models in the field of the photothermal science and techniques, is discussed the thermal response for each case of the three boundary conditions kind.