This paper is devoted to solve a set of non-linear optimal control problems which are touched with time-delay Fredholm integro-differential equations. The serious objective of this work is to contribute an appropriate direct scheme for solving these problems. The technique used in this paper is based upon the Dickson polynomials and collocation points. Getting through the solutions, the states and controls variables can be approximated with Dickson polynomials. Therefore, the optimal control problem with time-delay integro-differential equation transforms into a system of algebraic equations that by solving it, we can obtain the unknown coefficients of the main problem. The residual error estimation of this technique is also investigated. Accuracy amount of the absolute errors have been studied for the performance of this method by solving several non-trivial examples.
Alipour, M., & Soradi-Zeid, S. (2021). Optimal control of time delay Fredholm integro-differential equations. Journal of Mathematical Modeling, 9(2), 277-291. doi: 10.22124/jmm.2020.17213.1496
MLA
Maryam Alipour; Samaneh Soradi-Zeid. "Optimal control of time delay Fredholm integro-differential equations". Journal of Mathematical Modeling, 9, 2, 2021, 277-291. doi: 10.22124/jmm.2020.17213.1496
HARVARD
Alipour, M., Soradi-Zeid, S. (2021). 'Optimal control of time delay Fredholm integro-differential equations', Journal of Mathematical Modeling, 9(2), pp. 277-291. doi: 10.22124/jmm.2020.17213.1496
VANCOUVER
Alipour, M., Soradi-Zeid, S. Optimal control of time delay Fredholm integro-differential equations. Journal of Mathematical Modeling, 2021; 9(2): 277-291. doi: 10.22124/jmm.2020.17213.1496