An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions
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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.
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Journal title
volume 4 issue 4
pages 323- 334
publication date 2016-10-01
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