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Rouhparvar H. Solving Delay-Differential Equation via Optimal Control Technique. jor 2026; 23 (1)
URL: http://jamlu.lahijan.iau.ir/article-1-1984-en.html

Solving Delay-Differential Equation via Optimal Control Technique

H. Rouhparvar ^*

Department of Mathematic, Sav. C., Islamic Azad University, Saveh, Iran. , rouhparvar59@gmail.com

Abstract: (61 Views)

In this paper, aims to present a computational approach for the numerical solution of Delay Differential Equations (DDEs) with initial conditions. Unlike methods that solve the equation through direct discretization, the proposed technique converts the Delay Differential Equation into an Optimal Control (OC) problem. The Optimal Control problem is then solved using the Iterative Dynamic Programming (IDP) method, due to its ability to handle nonlinear optimization problems and control constraints. Finally, several numerical examples are presented to demonstrate the efficiency and performance of the proposed technique, which confirms its reliability and accuracy.

Keywords: Delay-Differential Equation, Iterative Dynamic Programming, Optimal Control, Approximate Solution.

Type of Study: Research | Subject: Special
Received: 2025/06/10 | Accepted: 2025/10/26 | Published: 2026/03/21

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