An Optimal Control of Water Pollution in a Stream Using a Finite Difference Method
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.
[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.
[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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:55189", author = "Nopparat Pochai and Rujira Deepana", title = "An Optimal Control of Water Pollution in a Stream Using a Finite Difference Method", 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.", volume = "5", number = "8", pages = "1251-3", }