A modified Kulkarniʹs method based on a discrete spline quasi-interpolant Original Research Article

We use a discrete spline quasi-interpolant (abbr. dQI) defined on a bounded interval for the numerical solution of linear Fredholm integral equations of the second kind with a smooth kernel by collocation and a modified Kulkarniʹs method together with its Sloanʹs iterated version. We study the approximation errors of these methods and we illustrate the theoretical results by a numerical example.