In order to investigate parameters of FAE(fuelair explosive) explosion,the two-phase gas-droplet conservation equations with two-dimensional axial symmetry in the Euler coordinate were used.High-resolution implicit TVD(total variation diminishing) schemes were applied to gas phase equations and MacCormack schemes to liquid equations.The formation and propagation of gas-droplet detonation wave were simulated numerically.The simulation results and the others are compared with a good agreement.