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

Iranian Journal of Numerical Analysis and Optimization

مقاله 7، دوره 15، Issue 1 - شماره پیاپی 32، خرداد 2025، صفحه 163-196   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2024.89204.1491

نویسندگان

A. Ebrahimzadeh^{* 1}؛ R. ‎Khanduzi²؛ R. Mirabbasi³؛ E. Hashemizadeh⁴

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

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

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

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

چکیده

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.

کلیدواژه‌ها

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

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