Meshless method based on radial basis functions

A numerical method for partial differential equations based on radial basis functions (RBF) is described. In the method, spatial derivatives are approximated using RBF interpolants with local supports analogous to stencils used in finite-difference methods. The numerical results presented for various elasticity problems reveal that the method provides good accuracy and convergence. The method is also applied to problems with non-self-adjoint operators (like those in the Navier–Stokes equations).