IJRIT International Journal of Research in Information Technology, Volume 2, Issue 1, January 2014, Pg: 17-24

International Journal of Research in Information Technology (IJRIT) www.ijrit.com

ISSN 2001-5569

Simulation of Water Pollution by Finite Difference Method M. M. Rahaman1, L. S. Andallah2 1

Assistant Professor, Department of Mathematics, Patuatkhali Science and Technology University, Dumki, Patuakhali, Bangladesh E-mail: [email protected] 2

Professor, Department of Mathematics, Jahangirnagar University, Savar, Dhaka, Bangladesh, E-mail: [email protected]

Abstract

The paper presents a simple mathematical model for water pollution. We consider the advection diffusion equation as an Initial Boundary Value Problem (IBVP) for the estimation of water pollution. For the numerical solution of the IBVP, the derivation of an explicit central difference scheme is presented. By implementing a finite difference scheme for the IBVP, we estimate and analyze the extent of water pollution at different times and different points in a one dimensional spatial domain. The pollutant concentration is increased in a fixed position with respect to time, finally.

Keywords: Advection Diffusion Equation, Finite difference scheme, Initial Boundary Value Problem, Water Pollution.

Full text: https://sites.google.com/a/ijrit.com/papers/home/V2I105.pdf

M. M. Rahaman et al, IJRIT

Simulation of Water Pollution by Finite Difference Method

The paper presents a simple mathematical model for water pollution. We consider the advection diffusion equation as an Initial Boundary Value Problem (IBVP) for the estimation of water pollution. For the numerical solution of the IBVP, the derivation of an explicit central difference scheme is presented. By implementing a ...
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