1
Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
2
Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
Abstract
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.
Khaksarfard, M. , Ordokhani, Y. and Babolian, E. (2016). An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions. Computational Methods for Differential Equations, 4(4), 323-334.
MLA
Khaksarfard, M. , , Ordokhani, Y. , and Babolian, E. . "An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions", Computational Methods for Differential Equations, 4, 4, 2016, 323-334.
HARVARD
Khaksarfard, M., Ordokhani, Y., Babolian, E. (2016). 'An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions', Computational Methods for Differential Equations, 4(4), pp. 323-334.
CHICAGO
M. Khaksarfard , Y. Ordokhani and E. Babolian, "An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions," Computational Methods for Differential Equations, 4 4 (2016): 323-334,
VANCOUVER
Khaksarfard, M., Ordokhani, Y., Babolian, E. An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions. Computational Methods for Differential Equations, 2016; 4(4): 323-334.
)
