Sinc-collocation methods with consistent collocation points for Fredholm integral equations of the second kind

Sinc-collocation methods are known to be efficient for Fredholm integral equations of the second kind, even if functions in the equations have endpoint singularity. However, existing methods have a drawback of inconsistent collocation points. The inconsistency makes implementation complicated, especially in the case of large-scale problems. To overcome the drawback, this study proposes another Sinc-collocation methods with consistent collocation points. By theoretical error analysis, this study shows that the proposed methods have the same convergence property as existing methods. Numerical experiments suggest the superiority of the proposed methods in implementation and computational cost.