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The paper compares some explicit numerical methods for solving the advection equation that could be used to describe transportation of a pollutant in one direction. The one-dimensional advection equation is solved by using five different standard finite difference schemes (the Upwind, FTCS, Lax- Friedrichs, Lax wendroff and Leith’s methods) via C codes. An example is used for comparison; the numerical results are compared with analytical solution. It is found that, for the example studied, all the explicit finite difference methods give satisfactory solutions to the advection problem.