%0 Journal Article
%T A finite difference method for the smooth solution of linear Volterra integral equations
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Jalalvand, M.
%A Jazbi, B.
%A Mokhtarzadeh, M. R.
%D 2013
%\ 06/01/2013
%V 4
%N 2
%P 1-10
%! A finite difference method for the smooth solution of linear Volterra integral equations
%K Integral equation
%K Linear Integral Equation
%K Weakly Singular Volterra
%R 10.22075/ijnaa.2013.19
%X The present paper proposes a fast numerical method for the linear Volterra integral equations withregular 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 simpliedoperator using a forward dierence formula. To analyze and verify the accuracy of the method, weexamine sample and benchmark problems with known exact solutions.
%U https://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdf