Computation of singular and hypersingular boundary integrals by Green identity and application to boundary value problems

The problem of computing singular and hypersingular integrals involved in a large class of boundary value problems is considered. The method is based on Greenʹs theorem for calculating the diagonal elements of the resulting discretized matrix using the Nystrِm discretization method. The method is successfully applied to classical boundary value problems. Convergence of the method is also discussed.