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  4. Numerical models of nitrogen compound measurements in a stream with removal mechanism using Saulyev technique with cubic spline interpolation
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Numerical models of nitrogen compound measurements in a stream with removal mechanism using Saulyev technique with cubic spline interpolation

Author(s)
Vongkok, Areerat
Pochai, Nopparat
Date Issued
November 17, 2019
Type
Article
DOI
10.1080/09720502.2019.1668153
Abstract
Nutrient pollution negatively affects ecology, environment and human health, due to excess contaminated nitrogen in aquatic ecosystems. Nitrogen has various forms, such as organic nitrogen, ammonia, nitrite, and nitrate. Nitrogen removal mechanisms are important for nitrogen compound pollutant control. Microbial agents provide an alternative for nitrogen removal and are implemented by natural removal mechanisms. For pollution level measurements, data collection from actual measurement processes can be only limitedly collected in some situations. The mathematical models play a role in data approximation that can describe relations of processes and reactions. Six numerical models in one-dimensional nitrogen pollutant and nitrogen remover measurement in a stream are proposed. The proposed models are combined with total nitrogen with a removal mechanism, organic nitrogen, ammonia, nitrite, nitrate, and nitrogen remover dispersion models. These models are implemented through use of an efficient numerical technique, which is the unconditionally explicit Saulyev finite difference technique, associated with the cubic spline interpolation to initial and left boundary conditions through practical simulations. All six models related to nitrogen compound measurements in a stream with removal mechanism models give accurately approximated solutions. The proposed numerical models can be applied to other realistic problems.
Citation
Journal of Interdisciplinary Mathematics, 22(8), 1235-1275, 2019
Subjects

65M06

Cubic Spline Interpol...

Nitrogen Compound

Numerical Models

Saulyev Technique

Metrics
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