{"title":"An Optimal Control of Water Pollution in a Stream Using a Finite Difference Method","authors":"Nopparat Pochai, Rujira Deepana","volume":56,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1203,"pagesEnd":1206,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/6101","abstract":"Water pollution assessment problems arise frequently\r\nin environmental science. In this research, a finite difference method\r\nfor solving the one-dimensional steady convection-diffusion equation\r\nwith variable coefficients is proposed; it is then used to optimize\r\nwater treatment costs.","references":"[1] B. Bradie, A Friendly Introduction to Numerical Analysis, Pearson\r\n(2006).\r\n[2] S.C. Chapra, Surface Water-Quality Modeling, McGraw-Hill (1997).\r\n[3] N. Pochai, S. Tangmanee, L.J. Crane and J.J.H. Miller, A mathematical\r\nmodel of water pollution control using the finite element method,\r\nProceedings in Applied Mathematics and Mechanics, 6(1) (2006), 755 -\r\n756.\r\n[4] N. Pochai, A Numerical Computation of Non-dimensional Form of a\r\nNonlinear Hydrodynamic Model in a Uniform Reservoir, Journal of\r\nNonlinear Analysis: Hybrid Systems, 3 (2009), 463 - 466.\r\n[5] N. Pochai, A Numerical Computation of Non-dimensional Form of\r\nStream Water Quality Model with Hydrodynamic Advection-Dispersion-\r\nReaction Equations, Journal of Nonlinear Analysis: Hybrid Systems, 3\r\n(2009), 666 - 673.\r\n[6] P. Tabuenca, J. Vila, J. Cardona and A. Samartin, Finite element simulation\r\nof dispersion in the bay of Santander, Advanced in Engineering\r\nSoftware, 28 (1997), 313 - 332.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 56, 2011"}