  In this paper, a new scheme of arbitrary high order accuracy in both space
and time is proposed to solve hyperbolic conservative laws. Based on the idea
of flux vector splitting(FVS) scheme, we split all the space and time
derivatives in the Taylor expansion of the numerical flux into two parts: one
part with positive eigenvalues, another part with negative eigenvalues.
According to a Lax-Wendroff procedure, all the time derivatives are then
replaced by space derivatives. And the space derivatives is calculated by WENO
reconstruction polynomial. One of the most important advantages of this new
scheme is easy to implement.In addition, it should be pointed out, the
procedure of calculating the space and time derivatives in numerical flux can
be used as a building block to extend the current first order schemes to very
high order accuracy in both space and time. Numerous numerical tests for linear
and nonlinear hyperbolic conservative laws demonstrate that new scheme is
robust and can be high order accuracy in both space and time.
