AN EFFICIENT HYBRID METHOD FOR SOLVING OPTIMAL CONTROL OF VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

This paper deals with the optimal control problems governedby Volterra integro-di erential equations. The main result of this papercontributes a appropriate hybrid iterative scheme for solving this equa-tions. The technique used by this method is based upon homotopy analysisand parametrization based on Chebyshev polynomials. In order to demon-strate the applicability, e ciency, high accuracy and fast convergence ofthe proposed method, the paper have investigated two illustrative exam-ples. Finally, the results achieved by this technique are compared with theresults of other similar methods.

Keywords:

optimal control problem , Volterra integro-di erential equation , homotopy analysis method , parametrization , Chebyshev polynomials