This work aims to present the resolution of a partial differential equation through a nu-
merical method, as an alternative to obtain solutions, given that most of the partial
differential equations are quite complex, which makes the solution impracticable, or be-
cause there are no analytical solutions for the studied differential equation. Based on the
problem, we will apply the Finite Difference Method to the Laplace Equation, to show
how this differential equation is solved by this numerical method, we will do it through
the analysis of previous studies and computer simulations. It was observed that, although
there is a high computational cost, when it comes to using fine meshes, the finite difference
method is a good option for solving partial differential equations.
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