An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions

نویسندگان

  • Esmail Babolian Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
  • Marzieh Khaksarfard Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
  • Yadollah Ordokhani Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
چکیده مقاله:

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.

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عنوان ژورنال

دوره 4  شماره 4

صفحات  323- 334

تاریخ انتشار 2016-10-01

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