Abstract
A second-variation algorithm is developed for a general class of non-linear distributed parameter systems with distributed and space-independent controls and with nonlinear functional boundary conditions. The boundary conditions contain distributed controls as well as a spatially independent parameter which is governed by its own set of dynamic equations. Algorithmic equations are derived and a set of sufficiency conditions for convergence is established. The rapid convergence of the algorithm to the optimal policy is demonstrated for a non-linear example involving distributed control.