  In this paper, we innovatively develop uniform/variable-time-step weighted
and shifted BDF2 (WSBDF2) methods for the anisotropic Cahn-Hilliard (CH) model,
combining the scalar auxiliary variable (SAV) approach with two types of
stabilized techniques. Using the concept of $G$-stability, the
uniform-time-step WSBDF2 method is theoretically proved to be energy-stable.
Due to the inapplicability of the relevant G-stability properties, another
technique is adopted in this work to demonstrate the energy stability of the
variable-time-step WSBDF2 method. In addition, the two numerical schemes are
all mass-conservative.Finally, numerous numerical simulations are presented to
demonstrate the stability and accuracy of these schemes.
