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

نویسندگان

  • A. Ebadian Department of Mathematics, Urmia ,University, Urmia, Iran.
  • AR. Haghigi Department of Mathematical, Technical and Vocational University (TVU), Tehran, Iran.
  • I. Malihmaleki Department of Mathematics, Payam-e-Nour University, Tehran, Iran
  • M. Ebadi Department of Mathematics‎, ‎University of Farhangian‎, ‎Tehran‎, ‎Iran.
چکیده مقاله:

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.

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عنوان ژورنال

دوره 13  شماره 1

صفحات  71- 89

تاریخ انتشار 2021-09-01

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