Optimal control of water pollutant transmission by utilizing a combined Jacobi collocation method and mountain Gazelle algorithm
نویسندگان
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.
doi
10.22067/ijnao.2024.89204.1491چکیده
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.
