The infiltration is one of the hydrological processes that receives a lot of importance in the environmental engineering and of water resources, per decades many investigators have come doing efforts to model the process of infiltration, departing from the equation of Richards (1931). The behavior of the infiltration can be treated in form three dimensional and time in its most complex, and depending on what is required even in its one-dimensional form most the temporal component. In this work Richards's equation diminishes to his expression unidimensional, more his temporary component and is solved under the method of finite differences using Crank-Nicolson's, scheme in an implicit alternate exact scheme, in the second order both in space and in time. The above mentioned scheme was codified in MATLAB, and the results fulfill satisfactorily the aim to predict the movement of the water in...