Distributed Control Problems Second Order Parabolic Heat Equation Runge-Kutta Method CGM
Institute of Information Theories and Applications FOI ITHEA
In this paper, we are concerned with the optimal control boundary control of a second order parabolic
heat equation. Using the results in [Evtushenko, 1997] and spatial central finite difference with diagonally implicit
Runge-Kutta method (DIRK) is applied to solve the parabolic heat equation. The conjugate gradient method
(CGM) is applied to solve the distributed control problem. Numerical results are reported.