Abstract: Groundwater quality has recently received a lot of concern as a water resource problem. Contaminant’s transport is best described by a mathematical model. In this paper, we study the contaminant transport phenomenon using an advection-diffusion equation. The contaminant transport equation is solved numerically, we apply the finite volume method. Here we use Adams-Bashforth Difference to extrapolate advective terms from previous time step in an explicit manner and handles diffusive terms implicitly using Crank-Nicolson second order scheme.