University of Tabriz Computational Methods for Differential Equations 2345-3982 6 4 2018 10 01 Space-time radial basis function collocation method for one-dimensional advection-diffusion problem 426 437 7670 EN Marzieh Khaksarfard Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran Yadollah Ordokhani Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran Mir Sajjad Hashemi Department of Mathematics, Basic Science Faculty, Universiry of Bonab, Bonab, Iran Kobra Karimi Department of Mathematics, Buin Zahra Technical University, Buin Zahra, Qazvin, Iran Journal Article 2017 09 18 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. Radial basis functions Heat and advection-diffusion equations Partial differential equation https://cmde.tabrizu.ac.ir/article_7670_41fdd142453538f57cb04e13bb5ed69d.pdf