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In this paper, we describe a semi-discrete method for a numerical resolutionof a type of partial differential equations, called the method of lines (MOL).This method is based on the discretization of all but one of the variables ofthe problem. We illustrate this method by solving the Laplace equation inCartesian coordinates. We compare the concepts used by the MOL with respect tothe analytical method of variable separation. We show that the results obtainedwith the MOL are very good approximations of the analytical solutions.

El m\`etode de les l\'inies per a la resoluci\'o num\`erica d'equacions  en derivades parcials. The method of lines for numerical solutions of partial  differential equations