  Two new numerical schemes to approximate the Cahn-Hilliard equation with
degenerate mobility (between stable values 0 and 1) are presented, by using two
different non-centered approximation of the mobility. We prove that both
schemes are energy stable and preserve the maximum principle approximately,
i.e. the amount of the solution being outside of the interval [0,1] goes to
zero in terms of a truncation parameter. Additionally, we present several
numerical results in order to show the accuracy and the well behavior of the
proposed schemes, comparing both schemes and the corresponding centered scheme.
