Optimal control of water pollutant transmission by utilizing a combined Jacobi collocation method and mountain Gazelle algorithm

Document Type : Research Article

Authors

• A. Ebrahimzadeh ¹
• R. ‎Khanduzi ²
• R. Mirabbasi ³
• E. Hashemizadeh ⁴

¹ Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran.

² Department of Mathematics and Statistics, Gonbad Kavous University, P.O. Box 49717- 99151, Gonbad Kavous, Golestan, Iran.

³ Department of Water Engineering, Faculty of Agriculture, Shahrekord University, Shahrekord, Iran.

⁴ Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.

10.22067/ijnao.2024.89204.1491

Abstract

Water pollution can have many adverse effects on the environment and human health. The study of the transmission of water pollutants over a finite lifespan is carried out using an optimal control problem (OCP), with the system governed by ordinary differential equations. By utilizing the collocation approach, the OCP is transmuted to a nonlinear programming problem, and then the mountain Gazelle algorithm is applied to determine the optimal control and state solutions. A practical study demonstrates the effect of treatment on reducing water pollutants during a finite time.

Keywords

• Optimal control
• Jacobi polynomials
• Transmission of water pollutant
• Collocation method
• Mountain Gazelle algorithm

Main Subjects

• Computational Mathematics

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