A finite difference method for the smooth solution of linear Volterra integral equations

Document Type : Research Paper

Authors

1 of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.

2 Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.

3 School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 19395-5746, Tehran, Iran.

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 simpli ed
operator using a forward di erence formula. To analyze and verify the accuracy of the method, we
examine sample and benchmark problems with known exact solutions.

Keywords

International Journal of Nonlinear Analysis and Applications
Volume 4, Issue 2 - Serial Number 2
Winter and Spring 2013
Pages 1-10

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