Metrics
10 Record Views
Journal article
Mathematical Methods for Dissolved Phosphorus Concentrations
Journal of Advances in Applied Mathematics, Vol.4(4), pp.143-148
10/15/2019
Abstract
Phosphorus is a nutrient contained in fertilizer that can run off from lawns and crops. Predicting the phosphorus concentrations is an important component in determining how phosphorus is cycled in the surrounding ecosystem. In this paper, we present the development of two mathematical
methods. The first is a steady-state diffusion ordinary differential equation with given initial data. For this method, we estimate the unknown parameter values using least squares approximations for the data set without the boundary values. The second method is identical to the first except that the boundary values are imposed. We then distinguish our methods from existing approaches by deploying homotopy continuation to connect all time stages. With this approach, phosphorus concentrations can be estimated at all times and any depth. Using real-life data, we give an example to show that the methods are not only easy to use, but also provide estimates between any time stages and at any depth.
Related links
Details
- Title
- Mathematical Methods for Dissolved Phosphorus Concentrations
- Publication Details
- Journal of Advances in Applied Mathematics, Vol.4(4), pp.143-148
- Resource Type
- Journal article
- Publisher
- Isaac Scientific Publishing Co. Ltd
- Copyright
- © 2019 Isaac Scientific Publishing
- Identifiers
- 99381411421206600
- Academic Unit
- Mathematics and Statistics; Hal Marcus College of Science and Engineering
- Language
- English