Optimal set values of zone modeling in the simulation of a walking beam type reheating furnace on the steady-state operating regime

Z Yang, X Luo - Applied Thermal Engineering, 2016 - Elsevier
In this paper, this study proposed a new method to solve the PDE optimal control problem by
introducing the adjoint problem to the optimization model, which was used to get the …

Optimal control method of parabolic partial differential equations and its application to heat transfer model in continuous cast secondary cooling zone

Y Wang, X Luo, S Li - Advances in Mathematical Physics, 2015 - Wiley Online Library
Our work is devoted to a class of optimal control problems of parabolic partial differential
equations. Because of the partial differential equations constraints, it is rather difficult to …

Optimal control for partial differential equations of a heat exchanger system

H Rizk - 2021 25th International Conference on Circuits …, 2021 - ieeexplore.ieee.org
Our work is devoted to optimal control of a double-pipe heat exchanger system modeled as
coupled hyperbolic partial differential equations (PDEs) of first order in time and space …

[PDF][PDF] Computation of Optimal Controls for a Class of Distributed Parameter Systems

MH Farag, TA Nofal, MA El-Sayed… - Journal of Computer …, 2015 - researchgate.net
Our work is devoted to a class of optimal control problems of parabolic partial differential
equations. Because of the partial differential equations constraints, it is rather difficult to …

An Optimization Problem with Controls in the Coefficients of Parabolic Equations

MH Farag, TA Nofal, MA El-Sayed… - British Journal of …, 2015 - classical.goforpromo.com
In this paper, an optimal control parabolic problem is studied. The existence and uniqueness
theorem for the solving optimal control parabolic problem is proved. Also, a theorem for the …

[CITATION][C] Study of variable coefficients in parabolic distributed systems Using Penalty Function with MPQI Algorithm

MA El-Sayed, MM Salama, MH Farag, FB Al-Thobaiti - Global Journal of Pure and …, 2017

[CITATION][C] Numerical Approximation for an Optimal Control Problems Governed By Parabolic Equations Using PQI Tchnique

MH Farag, TA Nofal, AI El-Nashar, TSM Al-Qarni - 2011