Approximate Solution for the System of Nonlinear Volterra Integral Equations of the Second Kind by Weighted Residual Methods

Abstract

In this paper, three types of weighted residual methods (Collocation, Subdomain, and Galerkin methods) are presented for finding an approximate (sometimes exact) solution of the system of non-linear Volterra integral equations of the second kind (VIEK2). We showed the efficiency of the prescribed methods by solving some numerical examples.