Remediation of Pollution in a River by Releasing Clean Water

Analytical solution has been obtained for one-dimensional advection-diffusion equation with constant coefficients by using Laplace transformation. Also numerical solution has been obtained by using explicit finite difference scheme. In this paper, the initial condition and the boundary condition at the source of pollution (x = 0) were applied to describe the exponential variation in pollutant concentration. Impacts of different parameters controlling the pollutant dispersion have been studied separately with the help of graphs. This publication proved mathematically the fact that the high concentration of pollutant can be reduced by releasing clean water discharges from barrage in a river. For a real situation, our simple model can give decision support for planning restrictions to be imposed on cultivating and urban practices. According to our information, this is the first study concerning a mathematical simulation for remediation of pollution in a river by releasing clean water