An Explicit Single-step Method for Numerical Solution of Optimal Control Problems
الموضوعات : مجله بین المللی ریاضیات صنعتی
M. Ebadi
1
,
I. Malihmaleki
2
,
AR. Haghigi
3
,
A. Ebadian
4
1 - Department of Mathematics, University of Farhangian, Tehran, Iran.
2 - Department of Mathematics, Payam-e-Nour University, Tehran, Iran
3 - Department of Mathematical, Technical and Vocational University (TVU), Tehran, Iran.
4 - Department of Mathematics, Urmia ,University, Urmia, Iran.
الکلمات المفتاحية: FBSM, Hybrid methods, stability analysis, OCP,
ملخص المقالة :
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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