Nonlinear partial differential equations model related to oxidation pond treatment system: a case study of mPHO at Taman Timor Oxidation Pond, Johor Bahru

Abstract

This study presents a mathematical model examining wastewater pollutant removal through an oxidation pond treatment system. This model was developed to describe the reaction between microbe-based product mPHO (comprising Phototrophic bacteria (PSB)), dissolved oxygen (DO) and pollutant namely chemical oxygen demand (COD). It consists of coupled advection-diusion-reaction equations for the microorganism (PSB), DO and pollutant (COD) concentrations, respectively. The coupling of these equations occurred due to the reactions between PSB, DO and COD to produce harmless compounds. Since the model is nonlinear partial dierential equations (PDEs), coupled, and dynamic, computational algorithm with a specic numerical method, which is implicit Crank-Nicolson method, was employed to simulate the dynamical behaviour of the system. Furthermore, numerical results revealed that the proposed model demonstrated high accuracy when compared to the experimental data.