Optimal control of heat conductivity

Consideration was given to the problem of optimal control of heat conductivity in the spherical coordinate system under a bounded control action. Proposed was a procedure of numerical solution of this problem based on the Pontryagin method for the distributed-parameter systems, special iterative process, and new difference schemes for the problem of heat conductivity in the spherical coordinate system. Estimates of the iterative process convergence were proved. The proposed difference schemes and the algorithm on the whole are illustrated by numerical calculations of the test problems.