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

Khaksarfard, Marzieh; Ordokhani, Yadollah; Hashemi, Mir Sajjad; Karimi, Kobra

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

Document Type : Research Paper

Authors

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

Abstract

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.

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