Bezier Curves for Solving 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 and determine Bezier curves on [0, 1] by n+1 control points. Numerical examples illustrate that the algorithm is applicable and very easy to use