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An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions | ||
| Computational Methods for Differential Equations | ||
| مقاله 6، دوره 4، شماره 4، دی 2016، صفحه 323-334 اصل مقاله (372.53 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Marzieh Khaksarfard1؛ Yadollah Ordokhani* 1؛ Esmail Babolian2 | ||
| 1Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran | ||
| 2Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran | ||
| چکیده | ||
| In the present paper, a numerical method is considered for solving one-dimensional heat equation subject to both Neumann and Dirichlet initial boundary conditions. This method is a combination of collocation method and radial basis functions (RBFs). The operational matrix of derivative for Laguerre-Gaussians (LG) radial basis functions is used to reduce the problem to a set of algebraic equations. The results of numerical experiments are presented to confirm the validity and applicability of the presented scheme. | ||
| کلیدواژهها | ||
| Radial basis functions؛ Heat conduction؛ Dirichlet and Neumann boundary Conditions | ||
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