English Abstract The mathematical model AQ-EC simulates the transport of
a solute in flowing groundwater. The model uses the numerical approximation
of the finite element method to solve the differential equations. Numerical
approximations are subject to deviations like numerical dispersion and
instability. Those deviations can be analyzed by comparing the results of
the numerical calculations and the analytical solutions. The model AQ-EC
was checked using the analytical model TRANS for the processes convection
and dispersion. The analytical "travelling wave" equation was applied to
verify the calculations for the processes convection, dispersion and
non-linear adsorption.