A collocation method for solving Fredholm integral equation of the first kind with hard singularity

In this paper, we introduce the concept of Cauchy principal value and Hadamard finite-part in singular integrals. We derive a new expression for integral part and then construct some collocation method for solving integral equations involving Cauchy principal value and Hadamard finite-part singularities. A numerical example performed to illustrate the theoretical results.

کلیدواژه ها:

Collocation method ، Cauchy principal value ، Hadamard finite-part ، Hypersingular integral equation