Mapped spectral collocation methods for Volterra integral equations with noncompact kernels

This paper is devoted to solve weakly singular Volterra integral equations with noncompact kernels, which differ from the well-known case of Abel-type equations. We consider using the mapped Laguerre spectral method to deal with this type of equations. The construction and analysis of log orthogonal functions collocation method are presented in this paper and some numerical examples are included to show the efficiency of the proposed method.