On the basis of two steps explicit methods

author investigates the application of the theory of Flux Vector Splitting(FVS)of J.L.Steger and R.F.Warming.Besides the simplified split flux vector formula

a new explicit scheme is proposed for solving hyperbolic differential equatione.It is a explicit two steps FVS scheme of second order accuracy.At first it was compared with MacCormack's scheme issued in 1972(MC72)in numerical computation.And finally a 2-D flow of a rectangular nozzle with its jet plume was analysed numerically by the present scheme.The results indicate some high performances of the present scheme:1.Numerical vibrations near the front surface of shock waves vanish.2.The scheme runs without artificial viscosity.3.It takes just as much time as MC72 takes to solve a flow field.The scheme features the higher inherent viscosity of the scheme compared with that of MC72.