  Using operator ordering techniques based on BCH-like relations of the su(1,1)
Lie algebra and a time-splitting approach,we present an alternative method of
solving the dynamics of a time-dependent quantum harmonic oscillator for any
initial state. We find an iterative analytical solution given by simple
recurrence relations that are very well suited for numerical calculations. We
use our solution to reproduce and analyse some results from literature in order
to prove the usefulness of the method and, based on these references, we
discuss efficiency in squeezing, when comparing the parametric resonance
modulation and the Janszky-Adam scheme.
