Numerical Solution of Fredholm Integral Equations by Spline Quasi-Interpolating Projectors

We use spline quasi-interpolating projectors for the numerical solution of linear Fredholm integral equations of the second kind by collocation and Kulkarni schemes, considering three different types of kernels: smooth, Green’s function type and logarithmic kernels. We describe computational aspects for the construction of the approximate solutions and state results related to the convergence orders. Finally, we give numerical examples, that confirm the theoretical results and show that higher orders of convergence can be obtained by Kulkarni’s scheme.