  In this paper, the discrete parameter expansion is adopted to investigate the
estimation of heat kernel for Euler-Maruyama scheme of SDEs driven by
{\alpha}-stable noise, which implies krylov's estimate and khasminskii's
estimate. As an application, the convergence rate of Euler-Maruyama scheme of a
class of multidimensional SDEs with singular drift( in aid of Zvonkin's
transformation) is obtained.
