A. H. Borzabadi , A. Basiri , S. Rahmany
JARAM - 3, 5, 29 - 40 - January, 2013 - .
Publication year: 2013


In this article, a numerical scheme, based on the benefits of Gr{\”o}bner basis for extracting approximate solutions of optimal control problems governed by some Fredholm integral equations is presented, where the kernel of integral is a polynomial. Defining an equidistant partition, a discretization form of the problem leads to a simultaneous equations system. By concepts of Gr{\”o}bner basis, the discrete form of state variables can be expressed respect to control variables ones. Then an optimization method can be applied for solving the unconstraint optimization problem with control variables. Numerical results show the performance of the given scheme.