Space-time radial basis function collocation method for one-dimensional advection-diffusion problem

Document Type : Research Paper


1 Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran

2 Department of Mathematics, Basic Science Faculty, Universiry of Bonab, Bonab, Iran

3 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.


Volume 6, Issue 4
October 2018
Pages 426-437
  • Receive Date: 18 September 2017
  • Revise Date: 28 November 2017
  • Accept Date: 08 July 2018
  • First Publish Date: 01 October 2018