Numerical simulation of a one-dimensional water-quality model in a stream using a Saulyev technique with quadratic interpolated initial-boundary conditions
type: Item
instance of: scholarly article
title: Numerical simulation of a one-dimensional water-quality model in a stream using a Saulyev technique with quadratic interpolated initial-boundary conditions
zbMATH Open document ID: 1470.76069
DOI: 10.1155/2018/1926519
author: Pawarisa Samalerk
author: Nopparat Pochai
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 6929580
describes a project that uses: SHASTA
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/1926519
OpenAlex ID: W2789517979
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description: scientific article; zbMATH DE number 6929580