An Optimal Control of Water Pollution in a Stream Using a Finite Difference Method
Commenced in January 2007
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Edition: International
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An Optimal Control of Water Pollution in a Stream Using a Finite Difference Method

Authors: Nopparat Pochai, Rujira Deepana

Abstract:

Water pollution assessment problems arise frequently in environmental science. In this research, a finite difference method for solving the one-dimensional steady convection-diffusion equation with variable coefficients is proposed; it is then used to optimize water treatment costs.

Keywords: Finite difference, One-dimensional, Steady state, Waterpollution control, Optimization, Convection-diffusion equation.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1062274

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References:


[1] B. Bradie, A Friendly Introduction to Numerical Analysis, Pearson (2006).
[2] S.C. Chapra, Surface Water-Quality Modeling, McGraw-Hill (1997).
[3] N. Pochai, S. Tangmanee, L.J. Crane and J.J.H. Miller, A mathematical model of water pollution control using the finite element method, Proceedings in Applied Mathematics and Mechanics, 6(1) (2006), 755 - 756.
[4] N. Pochai, A Numerical Computation of Non-dimensional Form of a Nonlinear Hydrodynamic Model in a Uniform Reservoir, Journal of Nonlinear Analysis: Hybrid Systems, 3 (2009), 463 - 466.
[5] N. Pochai, A Numerical Computation of Non-dimensional Form of Stream Water Quality Model with Hydrodynamic Advection-Dispersion- Reaction Equations, Journal of Nonlinear Analysis: Hybrid Systems, 3 (2009), 666 - 673.
[6] P. Tabuenca, J. Vila, J. Cardona and A. Samartin, Finite element simulation of dispersion in the bay of Santander, Advanced in Engineering Software, 28 (1997), 313 - 332.