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

نویسندگان
Khaksarfard, Marzieh ID 1
Ordokhani, Yadollah ID 2
Babolian, Esmail ID 3

1 Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran

2 Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran.

3 Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran

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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