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

نویسندگان

  • Kobra Karimi Department of Mathematics, Buin Zahra Technical University, Buin Zahra, Qazvin, Iran
  • Marzieh Khaksarfard 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
  • Yadollah Ordokhani Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
چکیده مقاله:

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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عنوان ژورنال

دوره 6  شماره 4

صفحات  426- 437

تاریخ انتشار 2018-10-01

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