Abstract
In this exposition paper, we describe some computational methodologies to solve numerically differential equations modeling the shallow lake ecosystem, with particular focus on the dynamics of the phosphorus. We describe in detail Python implementations of classical algorithms, like Runge-Kutta, and more modern approaches, including physics-informed neural networks.
Recommended Citation
Kapre, Vruddhi; Anderson, Jeffrey R.; and Selvitella, Alessandro Maria
(2025)
"On Solving Differential Equations Describing the Ecology of Shallow Lakes: A Comparison of Classical and Modern Computational Methods Through Python,"
Spora: A Journal of Biomathematics: Vol. 11, 1–19.
DOI: https://doi.org/10.61403/2473-5493.1096
Available at:
https://ir.library.illinoisstate.edu/spora/vol11/iss1/2
Included in
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