Merwin, Katelyn. 2014. Analysis of a Partial Differential Equation and Real World Applications Regarding Water Flow in the State of Florida. Thesis. Embry-Riddle Aeronautical University. McNair Scholars Research Journal. Vol. 1, Article 8. Available at: http://commons.erau.edu/mcnair/vol1/iss1/8 . Accessed 5 September 2017.
Abstract: In the article "Exact solutions of a nonlinear diffusion-convention equation" a partial differential equation is presented and analyzed. Namely, we analyze the behavior and time evolution of the phenomenon as the speed of the wave solution is adjusted. The real solutions are plotted and a hypothesis involving water flow is mentioned, as the original partial differential equation arises from a current problem of interest among engineers in Florida studying the water flow in the aquifer. Namely, the equation is a governing equation for the flow of water under gravity through a homogeneous isotropic porous medium.
Keywords: partial differential equations, water flow, Florida, model, analysis,
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