In this study, we propose a novel approach based on a meshless method to efficiently and accurately solve the problem of incompressible fluid flows. The method involves solving the nonlinear Navier-Stokes equations using advanced numerical techniques, eliminating the need for traditional mesh construction. Instead, the equations are formulated within a discrete framework, where variables are defined at scattered points within the computational domain. In this work, we employ the Weighted Least Squares (WLS) meshless method in combination with the High Order Continuation Method (HOCM). This integrated approach not only improves the precision of simulations but also broadens the scope for practical engineering applications by offering greater flexibility in modeling complex fluid flow problems. To validate this approach, we investigate numerically the example of the classical flow in a cavity.