Author/Authors :
Jalalvand, M Department of Mathematics - Faculty of Mathematical Sciences and Computer - Shahid Chamran University, Ahvaz , Jazbi, B Department of Mathematics - Iran University of Science and Technology - Narmak, Tehran , Mokhtarzadeh, M. R School of Mathematics - Institute for Research in Fundamental Sciences, Tehran
Abstract :
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 difference formula. To analyze and verify the accuracy of the method, we
examine sample and benchmark problems with known exact solutions.
