Document Type: Research Paper
of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 19395-5746, Tehran, Iran.
The present paper proposes a fast numerical method for the linear Volterra integral equations with
regular and weakly singular kernels having smooth solutions. This method is based on the approx-
imation of the kernel, to simplify the integral operator and then discretization of the simplied
operator using a forward dierence formula. To analyze and verify the accuracy of the method, we
examine sample and benchmark problems with known exact solutions.