In this paper, we propose a kernel-based method to solve multidimensional linear Fredholm integralequationsofthesecondkindovergeneraldomains.Thediscretecollocationmethod in combination with radial kernels interpolation method is utilized to convert these types of equations to a linear system of equations that can be solved numerically by a suitable numerical method. Integrals appeared in the scheme are approximately computed by the Gauss–Legendre and Monte Carlo quadrature rules. The proposed scheme does not require a structured grid, and thus can be used to solve complex geometry problems based on a set of scattered points that can be arbitrarily chosen. Thus, for the multidimensional linear Fredholmintegralequation,anirregularregioncanbeconsidered.Theconvergenceanalysis of the approach is studied for the presented method. The accuracy and efficiency of the new technique are illustrated by several numerical examples.
