Application of the SBA method to solving optimal control problem governed by systems of nonlinear partial differential equations

Abstract

In this article, we are interested in solving optimal control problemsgoverned by a system of nonlinear partial di¤erential equations by the itera-tive method SBA (combination of the Adomian method, successive approx-imations method and the principle of Picard )[17].This technique allows toreduce the problem of optimal control of the error function in a classical minimization problem.