In this work, it is proposed to use the mesh-free method technique, with the radial basis functions for the simulation of nonlinear equation systems, finding that they are an effective method for the solution of the Navier-Stokes equations, because they adequately emulate the behavior of the blood in the different simulations carried out in the arteries affected by the aneurysm, obtaining fluid pressure and velocity profiles, allowing the improvement of the design of devices such as stents for endovascular treatments.