In this paper, a novel method based on feed-forward neural networks is presented for
solving Fredholm integral equations of the second kind. In the present approach, we first …

This work is aim at providing a numerical technique for the Volterra integral equations using
Galerkin method. For this purpose, an effective matrix formulation is proposed to solve linear …

We solve numerically Volterra integral equations, of first and second kind with regular and
singular kernels, by the well known Galerkin weighted residual method. For this, we derive a …

In the present paper, we solve numerically Volterra integral equations of second kind with
regular and singular kernels, by the well known Galerkin weighted residual method. For this …

In this paper, a numerical method for solving the linear and nonlinear Fredholm integral
equations is proposed. In this method the solution of these equations are approximated by …

A collocation method based on the Bernstein polynomials defined on the interval [a, b] is
developed for approximate solutions of the Fredholm‐Volterra integrodifferential equation …

In this paper, we present a numerical method for solving two-dimensional Volterra-Fredholm
integral equations of the second kind (2DV-FK2). Our method is based on approximating …

The purpose of the research is to find the numerical solutions to the system of time
dependent nonlinear parabolic partial differential equations (PDEs) utilizing the Modified …

In this research work, the Galerkin weighted residual method is used to find the numerical
solution of fourth-order fractional value problems with homogeneous and non …

In this paper we introduce new approaches for numerical solution of Volterra integral
equation of second kind. This numerical solution based on Galerkin method by using …