A fast and reliable numerical approach for solving lake pollution problem

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Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Cilt: 27 Sayı: 2
A fast and reliable numerical approach for solving lake pollution problem

A fast and reliable numerical approach for solving lake pollution problem

Pages : 736-749

View : 57 | Download : 40

Publication Date : 2025-07-15

Article Type : Research Paper

Abstract :Just like air, water is an essential component of the environment and deterioration of water sources threatens all living organisms. Hence, investigating the water pollution problem is highly important. Lakes constitutes a big portion of water sources. The aim of this study is to analyze the dynamics of pollution in a system of three interconnected lakes using the Gegenbauer wavelet method. The problem is modeled by three ordinary linear differential equations representing the rate of pollution in each lake with respect to time. Time derivates are approximated by the truncated Gegenbauer wavelet series and the system of differential equations are converted into a system of algebraic equations. We show that the proposed technique is reliable and fast by comparing the numerical results with other numerical results available in the literature. We also show that the method is highly accurate and hence can also be used to solve other ecological phenomena as well.
Keywords : Göl kirlinmesi, Su kirliliği, Gegenbauer dalgacıkları

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