A meshfree method for solving multidimensional linear Fredholm integral equations on the hypercube domains

摘要

The main purpose of this article is to describe a numerical scheme for solving multidimensional linear Fredholm integral equations of the second kind on the hypercube domains. The method is based on interpolation by radial basis functions (RBFs) to approximate the solution of the linear Fredholm integral equations. 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.