In recent years, various studies about non-Fourier heat transfer in various media including porous media have been performed that have provided ‎contradictory results. In this article, the non-Fourier heat transfer in the porous media, especially the sand has been examined. In this regard, the ‎numerical solution of a non-Fourier thermal conductivity with a pulsed heat flow boundary condition has been studied and this condition for the non-‎Fourier models has been discretized and applied in the non-Fourier manner. In this way, first, the governing equation for the DPL model has been ‎solved with an explicit finite difference numerical method and its results have been studied and compared with the experimental data [1]. However, in ‎the process of numerical solution of the DPL model, the grid study has been performed before anything. Also, the Single-Phased Lagging (SPL) ‎model has been solved with an explicit numerical method and its results have been compared with the results of the DPL model and the experimental ‎data. In this article, like the reference [1], it has been shown that the DPL model can model the non-Fourier heat transfer so much better that the ‎Cattaneo’s model. ‎