The RBF-PDE is the Radial Basis Function for the solution of PDE. This is a meshless collocation method with global basis functions. It is known to have exponentional convergence for interpolation problems. One can descretize nonlinear elliptic PDEs by RBF method. This results in modest size systems of nonlinear algebraic equations which can be efficiently solved by standard software such as LINPACK, LAPACK etc. Examples are published for 1D and 2D PDEs. These examples show high accuracy with small number of unknowns, as compared with known results from the literature.