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

Bezier Curves for Solving Fredholm Integral Equations of the Second Kind