One of the important subject in hydraulics and hydrology is flood routing where it could .be achieved by solving Saint-Venant equations. Based on what term is omitted from the momentum equation several methods would be obtained, Kinematic Wave, Diffusion Wave and Dynamic wave. In this study, due to its simplicity compared to the Diffusion Wave method, Matched diffudivity method has been employed. In order to apply one of the methods, the conditioned the method holds with acceptable accuracy should be determined. In this regard comparison among the three methods has been conducted. In the comparison the effects of different parameters such as channel slope and width, numerical calculation increments, cross section, and the slope of the inflow hydrography, on the outflow hydrograph have been clarified. The objective of this study was to find the cases the different methods are similar or different in results. Generally speaking, increasing the channel slope, reducing its width, and reducing the inflow hydrograph slope results to have close outflow hydrigraphs otherwise the results are significantly different. These conclusions have been obtained for rectangular, trapezoidal. triangular and curricular cross second.