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Numerical Solution of 2-D Pollutant Distribution Model Based on Advection-Diffusion Mechanism in Waste Stabilization Ponds

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This paper presents solution of Biochemical Oxygen Demand (BOD) concentration distribution model in waste stabilization ponds on the surface (2-D) based on the advection-diffusion mechanism of some cases. This model is represented in second-order partial differential equations. The purpose of this paper is investigate the BOD distribution design in waste stabilization ponds of some cases. One of the numerical methods that can be used to solve the model in the form of partial differential equations are finite difference method. Finite difference method consists of several schemes. The scheme is expected to provide good results is a Forward Time Central Space scheme. The initial step in this method is the process of discretization using finite difference forward to derivative of time and finite difference central to derivative of space. The discrete equation will be substituted into the partial differential equations. The results show that a decrease in the concentration of BOD every time caused by the movement of pollutants (advection and diffusion). It can be seen from the numerical simulation of all cases.
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Keywords: Advection-Diffusion; Biochemical Oxygen Demand; Finite Difference; Forward Time Central Space; Waste Stabilization Ponds

Document Type: Research Article

Affiliations: Department of Mathematics, Faculty of Science and Mathematics, Diponegoro University, Semarang 50275, Indonesia

Publication date: 01 July 2017

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  • ADVANCED SCIENCE LETTERS is an international peer-reviewed journal with a very wide-ranging coverage, consolidates research activities in all areas of (1) Physical Sciences, (2) Biological Sciences, (3) Mathematical Sciences, (4) Engineering, (5) Computer and Information Sciences, and (6) Geosciences to publish original short communications, full research papers and timely brief (mini) reviews with authors photo and biography encompassing the basic and applied research and current developments in educational aspects of these scientific areas.
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