Aplicando diferencias finitas para resolver ecuaciones y sistemas de ecuaciones diferenciales parciales sobre dominios planos irregulares simplemente conexos y no conexos

Using exhaustion method and finite differences a new method to solve system of partial differential equations and is presented. This method allows design algorithm to solve linear and nonlinear systems in irregular domains. Applying this method to solve linear and nonlinear problems with prescribed conditions Dirichlet over two-dimensional irregular domains are analyzed.