Abstract
AbstractThere is currently an undeniable demand for solutions to environmental issues, especially water pollution. Water is essential for life and lakes constitute a big portion of water sources. In this study, we introduce a modified numerical approach to a dynamic ecological model focused on a lake pollution problem. The model includes three connected lakes with certain parameters and unknown functions such as pollution quantities and lake volumes. First, a preliminary mathematical analysis of the variables of each lake is presented taking into account the system components and parameters. Then, we present our numerical approach considering a series expansion to approximate the problem with the help of the truncated Taylor series. We describe a convergent technique, and finally, demonstrate the numerical simulations of the approach for the different unknowns with appropriate parameters. According to the results, the application of our alternative approach to the lake pollution problem is successful in terms of producing highly accurate information outputs about pollutant quantities a better approximation than the previously studied numerical approaches for the unknown functions of time. Furthermore, it is applicable to other similar ecological and environmental dynamic systems, and to related fields.
Funder
Johannes Gutenberg-Universität Mainz
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Reference75 articles.
1. Aguirre J, Tully D (1999) Lake Pollution Model. Tech. rep, Scientific Notebook, College of the Redwoods
2. Ali A, Suwan I, Abdeljawad T et al (2022) Numerical simulation of time partial fractional diffusion model by laplace transform. AIMS Math 7(2):2878–2890
3. Alimonti G, Mariani L, Prodi F, et al (2022) A critical assessment of extreme events trends in times of global warming. Euro Phys J Plus 137(1)
4. Alsaker CA (2009) Solving systems of differential equations using the taylor series. Tech. rep., Tech. Rep. South Dakota School of Mines and Technology
5. Aragaw TA, la Torre GED, Teshager AA (2022) Personal protective equipment (PPE) pollution driven by the COVID-19 pandemic along the shoreline of lake tana, bahir dar, ethiopia. Sci Total Environ 820(153):261
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