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Information Sciences Letters

Information Sciences Letters

Abstract

Analytical solution has been obtained for one-dimensional advection-diffusion equation which includes terms of decay and increasing sources by using Laplace transformation. Also numerical solution has been obtained by using explicit finite difference scheme. In this study the boundary condition applied at x = 0 describes a sinusoidal variation in pollutant concentration. The analytical solution obtained produces results that are exact for any location at any time. Impact of different parameters controlling the pollutant dispersion along the river at any time has been studied separately with figures help. This publication proved mathematically the fact that the high concentration of pollutant can be reduced by releasing fresh water discharges from Delta Barrage in the Nile River. For a real situation, our simple model can give decision support for planning restrictions to be imposed on cultivating and urban practices.

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