Nonlinear Partial Dierential Equations Model Related to Oxidation Pond Treatment System: A Case Study of mPHO at Taman Timor Oxidation Pond, Johor Bahru

IF 0.3 Q4 MATHEMATICS Matematika Pub Date : 2018-12-02 DOI:10.11113/MATEMATIKA.V34.N2.1038
A. Hamzah, A. H. Murid
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引用次数: 2

Abstract

This study presents a mathematical model examining wastewater pollutant removalthrough an oxidation pond treatment system. This model was developed to describethe reaction between microbe-based product mPHO (comprising Phototrophic bac-teria (PSB)), dissolved oxygen (DO) and pollutant namely chemical oxygen demand(COD). It consists of coupled advection-diusion-reaction equations for the microor-ganism (PSB), DO and pollutant (COD) concentrations, respectively. The couplingof these equations occurred due to the reactions between PSB, DO and COD to pro-duce harmless compounds. Since the model is nonlinear partial dierential equations(PDEs), coupled, and dynamic, computational algorithm with a specic numericalmethod, which is implicit Crank-Nicolson method, was employed to simulate the dy-namical behaviour of the system. Furthermore, numerical results revealed that theproposed model demonstrated high accuracy when compared to the experimental data.Keywords Oxidation pond; nonlinear PDEs; PSB; implicit Crank-Nicolson.
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氧化池处理系统的非线性偏微分方程模型:以柔佛州Taman Timor氧化池mPHO为例
本研究提出了一个通过氧化池处理系统检测废水污染物去除的数学模型。该模型用于描述微生物基产物mPHO(包括光营养细菌(PSB))、溶解氧(DO)和污染物化学需氧量(COD)之间的反应。它分别由微生物(PSB)、DO和污染物(COD)浓度的耦合平流-扩散反应方程组成。这些方程的耦合是由于PSB、DO和COD之间的反应产生无害化合物。由于该模型是非线性偏微分方程(PDE),具有耦合性和动态性,因此采用了一种特殊的数值方法计算算法,即隐式Crank-Nicolson方法来模拟系统的动力学行为。此外,数值结果表明,与实验数据相比,所提出的模型具有较高的精度。氧化池;非线性偏微分方程;PSB;隐含的Crank Nicolson。
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Matematika
Matematika MATHEMATICS-
自引率
25.00%
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审稿时长
24 weeks
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