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1 Journal of Applied Mathematics and Computational Mechanics

1 2025

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Pollution dynamics in an interconnected lake system: modeling and simulation using the finite element method

Adel Mohamed, Khader Mohamed M.

Journal of Applied Mathematics and Computational Mechanics

2025

Vol. 24, nr 1

5--17

In this research, we present a real-world simulation to evaluate the pollution dynamics within a network of three interconnected lakes, facilitated by canals. Using the finite element method (FEM), we handle three input models: linear, periodic, and exponentially decaying. This procedure turns the specified model into an algebraic equations system. By analyzing the residual error function (REF), we can verify the offered technique’s accuracy and efficiency. The numerical outputs are contrasted with that of the fourth-order Runge-Kutta (RK4M). Our results confirm that the presented algorithm is a practical tool to simulate the solution of such models. Key advantages of the supposed approach include simplicity, absence of secular components, and independence from perturbation parameters.