An Explicit Single-step Method for Numerical Solution of Optimal Control Problems

Author(s):

M. Ebadi , I. Malihmaleki , AR. Haghigi * , A. Ebadian

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this research we used forward-backward sweep method(FBSM) in order to solve optimal control problems. In this paper, one hybrid method based on ERK method of order 4 and 5 are proposed for the numerical approximation of the OCP. The convergence of the new method has been proved .This method indicate more accurate numerical results compared with those of ERK method of order 4 and 5 for solving OCP.

Keywords:

FBSM , OCP , stability analysis , Hybrid methods

Language:
English
Published:
International Journal of Industrial Mathematics, Volume:13 Issue: 1, Winter 2021
Pages:
71 to 89
https://www.magiran.com/p2192862