A Meshless Method for Advection-Diffusion Problems

This paper formulates a radial basis function meshless method for the numerical simulation of the advection-diffusion problems. The spatial derivatives are approximated by RBF collocation technique whereas the temporal derivatives are discretized using the Crank-Nicholson method. Corresponding boundary conditions are enforced analytically at a discrete set of boundary nodes. The performances of the present method are demonstrated through their application to an advection-diffusion problem.