  In this paper, we show the convergence rate of Euler-Maruyama scheme for
non-degenerate SDEs with Dini continuous coefficients, by the aid of the
regularity of the solution to the associated Kolmogorov equation. We obtain the
same conclusions using a simple and clever way to simplify the proof and weaken
the conditions in \cite{BHY} by the properties of Dini continuous and Taylor
expansion.
