Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
نویسندگان
1 Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.
2 Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.
3 Department of Mathematics, Faculty of Mathematical Sciences and Statistics, Malayer University, Malayer, Iran.
doi
10.22067/ijnao.v7i2.52085چکیده
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.
