%0 Journal Article
%T An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Khaksarfard, Marzieh
%A Ordokhani, Yadollah
%A Babolian, Esmail
%D 2016
%\ 10/01/2016
%V 4
%N 4
%P 323-334
%! An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions
%K Radial basis functions
%K Heat conduction
%K Dirichlet and Neumann boundary Conditions
%R
%X 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.
%U https://cmde.tabrizu.ac.ir/article_5821_b2568988dc65b39325476c9da38f1f70.pdf