A numerical method for Fredholm integral equations of the second kind by the IMT-type DE rules

In this paper, we propose a numerical method for one-dimensional Fredholm integral equations of the second kind by the IMT-type DE rules for numerical integration. We obtain our method by enhancing the DE-Nystrom method by replacing the DE rule used for discretizing the integral operator with the IMT-type DE rules. It is free of the difficulty of parameter tuning, that is, the problem of choosing the mesh size of the DE rule for the given number of unknowns as in the DE-Nystrom method. Numerical examples show that it is competitive with the DE-Nystrom method.