Numerical Scheme for Fredholm Integral Equations Optimal Control Problems via Bernstein Polynomials

n this paper, we present a novel iterative method to approximate the solution to a class of optimal control problems governed by Fredholm integral equations. We are willing to construct a direct scheme based on the Bernstein polynomials and parameterization. The convergence of the method is also discussed in details and at the end, some numerical examples illustrate the efficiency and accuracy of the method