%0 Journal Article
%T Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
%J Iranian Journal of Numerical Analysis and Optimization
%I Ferdowsi University of Mashhad
%Z 2423-6977
%A Esmaeilbeigi, M.
%A Mirzaee, F.
%A Moazami, D.
%D 2017
%\ 10/01/2017
%V 7
%N 2
%P 15-38
%! Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
%K Three-dimensional integral equation
%K Radial basis functions
%K Collocation method
%K Cubic domains
%R 10.22067/ijnao.v7i2.52085
%X The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear Fredholm integral equations of the second kind on the cubic domains. The method is based on interpolation by radial basis functions (RBFs) based on Gauss-Legendre nodes and weights. Error analysis is presented for this method. Finally, several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method.
%U https://ijnao.um.ac.ir/article_24549_9bffd7ba440c0dd9c09c1905b05bf307.pdf