Use of Bernstein Polynomial in Numerical Solution of Nonlinear Fred Holm Integral Equation

In this paper, Bernstein polynomials with different degree has been used to approximate the solution of nonlinear Fredholm integral equations. A comparison between the different degree of Bernstein polynomials has been made depending on absolute error and least squares errors. keywords: Nonlinear Fredholm Integral equation, Bernstein polynomia

Numerical approximation for integral equations

A numerical algorithm, based on a decomposition technique, is presented for solving a class of nonlinear integral equations. The scheme is shown to be highly accurate, and only few terms are required to obtain accurate computable solutions