In this paper, with the help of a variant of Schauder fixed point theorem in the real Banach algebra together with the finite difference method (FDM), we take a brief look at the p-adic analog of Richards' equation derived by Khrennikov et al. [Application of p-adic wavelets to model reaction-diffusion dynamics in random porous media, J. Fourier Anal. Appl.22 (2016) 809-822], and study the solvability and solution of this problem. This equation is formulated by a kinetic equation during the modeling of the reaction-diffusion dynamics in random porous media. Moreover, in order to guarantee the convergence of the presented iterative schemes, some sufficient conditions would be presented.