Technical report: analytical solution for one-dimensional advection-dispersion of the pollution in the river / Nur Hidayahtulaini Salleh

Laplace transformation technique was used to find analytical solution for one-dimensional advection dispersion equation. The one-dimensional advection dispersion equation was been model for the pollutant and dissolved oxygen concentration. It also investigate the alleviation of pollutant in the river. The coupled equation occurs because the oxygen reacts with the pol­lutant to produce harmless compound. In order to write a complete analytical solution, the advection dispersion behaviour from the graph was studied using MAPLE. As conclusion, the one-dimensional advection dispersion equation can be derived by using Laplace transformation technique. This mathematical model would provide a better planning for controlling water in the river to the future.