In this paper we use measure theory to solve some nonlinear Fredholm integral equations of the second kind...

The Bezier curves are presented to estimate the solution of the linear Fredholm integral equation of the second kind. A direct algorithm for solving this problem is given. We have chosen the Bezier curves as piecewise polynomials of degree n...

In numerical analysis specially in finding numerical solution for PDEs and integral equations, different

basis functions are used. Frames have not been used in the mentioned methods, because of the lack of

...

In this paper, an efficient numerical method which is a combination of the variational iteration method and the spectral collocation method is developed for solving a class of nonlinear Fredholm integral equations (NFIEs). This method is easy...

In this paper, we use parametric form of fuzzy number and convert a Fredholm

fuzzy integral equation to a linear system of Fredholm integral equations of the second

kind in crisp case. The homotopy analysis method (HAM) is used...

This paper proposes a modified homotopy perturbation method to solve Fredholm and Volterra integral equations. Comparison of the obtained results with those obtained by the standard homotopy perturbation method shows that ...

In this article we approximate the solutions of the nonlinear Fredholm integral equations of the second kind, by the method based on using the properties of RH wavelets and matrix operator. Also, the Banach fixed point theorem guarantees...

In this paper, we present a method for numerical solution of the linear two-dimensional Volterra-Fredholm integral equations on irregular domains. First, we obtain variational form of the problem, and then, finite element method will be used. Also...

Abstract

One of the methods for solving definite integrals is modified trapezoid method, which is obtained by using Hermit interpolation

[J. Stoer, R. Bulirsch, Introduction to Numerical Analysis, Second ...

This paper presents an efficient numerical method for solving nonlinear mixed Volterra- integral equations in the complex plane. The method is based on the fixed point iteration procedure. In each iteration of this method, ...