Document Type : Research Paper
Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
Department of Mathematics, Basic Science Faculty, Universiry of Bonab, Bonab, Iran
Department of Mathematics, Buin Zahra Technical University, Buin Zahra, Qazvin, Iran
The parabolic partial differential equation arises in many application of technologies. In this paper, we propose an approximate method for solution of the heat and advection-diffusion equations using Laguerre-Gaussians radial basis functions (LG-RBFs). The results of numerical experiments are compared with the other radial basis functions and the results of other schemes to confirm the validity of the presented method.