Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity

M. Kolk, A. Pedas
2009 Mathematical Modelling and Analysis  
We propose a piecewise polynomial collocation method for solving linear Volterra integral equations of the second kind with kernels which, in addition to a weak diagonal singularity, may have a weak boundary singularity. Global convergence estimates are derived and a collection of numerical results is given.
doi:10.3846/1392-6292.2009.14.79-89 fatcat:jbbgfpj2c5euzfvz4jhwnejqcm