Meshless method and convergence analysis for 2-dimensional Fredholm integral equation with complex factors

摘要

In this paper, the meshless method is presented for numerically solving the 2-dimensional Fredholm integral equation with complex factors. First, the existence and uniqueness of solution are proved by the fixed point theorem. Second, the approximation solution method of the radial basis function interpolation is given. The results of convergence analysis and error estimation are also obtained. Some numerical examples are presented to verify the validity and applicability of the method.