ON THE CONTROL AND SIMULATION OF THE THERMAL CONDUCTIVITY IN A HEAT EQUATION-Reference-Cited by-同舟云学术

ON THE CONTROL AND SIMULATION OF THE THERMAL CONDUCTIVITY IN A HEAT EQUATION

Published:2024-06-28 Issue:2 Volume:25 Page:289-299
ISSN:2667-4211
Container-title:Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering
language:
Short-container-title:

Author:

Güngör Hakkı¹^ORCID

Affiliation:

1. UFUK ÜNİVERSİTESİ, MESLEK YÜKSEKOKULU

Abstract

This study operates the Gradient Method to control the leading coefficient function of a heat equation and presents a Maplet Application which facilitates the computation of control function. The control is heat conductivity function and this function is controlled by aiming the desired value approximation of final heat. After mentioning the existence and uniqueness of the control, the application is submitted by MAPLE mathematical software program and the results are tested on a problem.

Funder

Not applicable.

Publisher

Anadolu Universitesi Bilim ve Teknoloji Dergisi-A: Uygulamali Bilimler ve Muhendislik

Reference12 articles.

1. [1] Subaşı M. Optimal Control of Heat Source in a Heat Conductivity Problem. Optimization Methods and Software, 2002; 17, 239-250

2. [2] Effati S, Nazemi A, Shabani H. Time Optimal Control Problem of the Heat Equation with Thermal Source, IMA Journal of Mathematical Control and Information, Volume 31, 2014; pp. 384-402

3. [3] Teymurov R. Optimal control of mobile sources for heat conductivity processes, International Journal of Control, Volume 90, Issue 5, 2017; pp. 923-931

4. [4] Tagiyev R. Optimal Coefficient Control in Parabolic Systems, Differential Equations, Volume 45, no. 10, 2009; pp. 1526-1535

5. [5] Tagiyev R. Optimal control for the coefficients of a Quasilinear parabolic equation, Automation and Remote Control, volume 70, no. 11, 2009; pp. 1814-1826