For H>1/2 and forward stochastic integral for stochastic differential equation driven by fractional Brownian motion,in order to improve the stability of explicit Euler scheme and Milstein scheme, we construct corrected implicit Euler scheme and Milstein scheme based on the corrected implicit technology. Then we prove these corrected implicit schemes have greater stable stepsets than explicit scheme,and in certain conditions the corrected implicit Euler scheme is A stability.Finally, It is showen that the numerical schemes are stable when the step size is within the stable step set, the numerical errors are steady when the step size is near the set's bound, but the numerical schemes are extremely unstable when the step size is out of the set.Thus the corrected implicit scheme have advantages of stability and the definition of stable step set is reasonable.
