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Space-time radial basis function collocation method for one-dimensional advection-diffusion problem | ||
| Computational Methods for Differential Equations | ||
| مقاله 3، دوره 6، شماره 4، دی 2018، صفحه 426-437 اصل مقاله (227.5 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Marzieh Khaksarfard1؛ Yadollah Ordokhani1؛ Mir Sajjad Hashemi* 2؛ Kobra Karimi3 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran | ||
| 2Department of Mathematics, Basic Science Faculty, Universiry of Bonab, Bonab, Iran | ||
| 3Department of Mathematics, Buin Zahra Technical University, Buin Zahra, Qazvin, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Radial basis functions؛ Heat and advection-diffusion equations؛ Partial differential equation | ||
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