The nonlinear chromatography process is simulated with high precision and resolution schemes to catch the shock, which are TVD (Total Variation Decreas) scheme and MmB (Locally Maximum-minimum Bounds preserving) scheme. Through the simulation, the shock effect is determined in higher resolution and the retention times are calculated in higher resolution and the retention times are calculated in higher Precision. The comparison among results of theoretical analyse, experiments and the presend numerical simulation shows that the simulation results can betalcenas a fair approximation for nonlinear chromatography process.