A numerical approach on Hiemenz flow problem using radial basis functions

In this paper, we propose radial basis functions (RBF) to solve the two dimensional ow of uid near a stagnation point named Hiemenz ow. The Navier-Stokes equations governing the ow can be reduced to an ordinary dierential equation of third order using similarity transformation. Because of its wide applications the ow near a stagnation point has attracted many investigations during the past several decades. We satisfy boundary conditions such as innity condition, by using Gaussian radial basis function through the both dierential and integral operations. By choosing center points of RBF with shift on one point in uniform grid, we increase the convergence rate and decrease the collocation points.