The solving of parabolic distributed optimal control problems with quintic B-spline collocation method

The optimal control problem considered here is associated to the minimization of the tracking functional subject to parabolic equations is examined. The corresponding optimality system of the original problem isfirst given. Quintic B-spline collocation method that solve parabolic distributed optimality systems discretized by quintic B-spline are investigated. Accuracy properties of quintic B-spline approximation are discussed and validated. In this paper, the resulting scheme also shows robustness with respect to changes of the value of n , the weight of the cost of the control, is sufficiently small

Keywords:

Quintic B-spline collocation method , parabolic distributed optimality systems , optimal control problems