In this paper, the system of integral equations of the second kind is investigated by using a discrete collocation method based on the redial basis functions (RBFs). To construct the discrete RBFs-collocation method, the Gauss–Legendre quadrature rule is adopted for the numerical integration. The error and convergence of the algorithm are given strictly. The efficiency of the approach will be shown by applying the procedure on some ill-posed and well-posed prototype examples.
