A practical approach for optimal control problems under partial differential equations

Mehdi Shahrabi Farahani, Mohammad Hadi Noori Skandari, Dumitru Baleanu, Faculty of Mathematical Sciences, Shahrood University of Technology, Department of Computer Science and Mathematics, Lebanese American University

Journal of Vibration and Control

Published online on December 04, 2025

Abstract

Journal of Vibration and Control, Ahead of Print.
This paper introduces a novel pseudo-spectral (PS) method tailored for the numerical solution of optimal control problems (OCPs) governed by partial differential equations (PDEs). The proposed technique leverages two-dimensional interpolating polynomials ...