Abstract and Applied Analysis

Numerical Simulation of a One-Dimensional Water-Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial-Boundary Conditions

Pawarisa Samalerk and Nopparat Pochai

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The one-dimensional advection-diffusion-reaction equation is a mathematical model describing transport and diffusion problems such as pollutants and suspended matter in a stream or canal. If the pollutant concentration at the discharge point is not uniform, then numerical methods and data analysis techniques were introduced. In this research, a numerical simulation of the one-dimensional water-quality model in a stream is proposed. The governing equation is advection-diffusion-reaction equation with nonuniform boundary condition functions. The approximated pollutant concentrations are obtained by a Saulyev finite difference technique. The boundary condition functions due to nonuniform pollutant concentrations at the discharge point are defined by the quadratic interpolation technique. The approximated solutions to the model are verified by a comparison with the analytical solution. The proposed numerical technique worked very well to give dependable and accurate solutions to these kinds of several real-world applications.

Article information

Abstr. Appl. Anal., Volume 2018 (2018), Article ID 1926519, 7 pages.

Received: 13 October 2017
Revised: 10 December 2017
Accepted: 26 December 2017
First available in Project Euclid: 17 March 2018

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Samalerk, Pawarisa; Pochai, Nopparat. Numerical Simulation of a One-Dimensional Water-Quality Model in a Stream Using a Saulyev Technique with Quadratic Interpolated Initial-Boundary Conditions. Abstr. Appl. Anal. 2018 (2018), Article ID 1926519, 7 pages. doi:10.1155/2018/1926519. https://projecteuclid.org/euclid.aaa/1521252087

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