پديدآورندگان :
Mahmoudi Y. mahmoudi@iaut.ac.ir Department of Mathematics, Tabriz Branch, Islamic Azad Univercity, Tbariz, Iran , Jahangiri Rad M. Department of Mathematics, Tabriz Branch, Islamic Azad Univercity, Tbariz, Iran , Dastmalchi Saei F. Department of Mathematics, Tabriz Branch, Islamic Azad Univercity, Tbariz, Iran
كليدواژه :
Collocation method , Cauchy principal value , Hadamard finite , part , Hypersingular integral equation
چكيده فارسي :
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.