University of TabrizComputational Methods for Differential Equations2345-39824420161001An efficient approximate method for solution of the heat equation using Laguerre-Gaussians radial functions3233345821ENMarziehKhaksarfardDepartment of Mathematics, Faculty of Mathematical Sciences,
Alzahra University, Tehran, IranYadollahOrdokhaniDepartment of Mathematics, Faculty of Mathematical Sciences,
Alzahra University, Tehran, Iran0000-0002-5167-6874EsmailBabolianFaculty of Mathematical Sciences and Computer,
Kharazmi University, Tehran, IranJournal Article20161221In 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.https://cmde.tabrizu.ac.ir/article_5821_b2568988dc65b39325476c9da38f1f70.pdf