  A simple speed-up cosmology model is proposed to account for the dark energy
puzzle. We condense contributions from dark energy and curvature term into one
effective parameter in order to reduce parameter degeneracies and to find any
deviation from flat concordance $\Lambda$CDM model, by considering that the
discrimination between dynamical and non-dynamical sources of cosmic
acceleration as the best starting point for analyzing dark energy data sets
both at present and in future. We also combine recent Type Ia Supernova (SNIa),
Cosmic Microwave Background (CMB) and Baryon Oscillation (BAO) to constrain
model parameter space. Degeneracies between model parameters are discussed by
using both degeneracy diagram and data analysis including high redshift
information from Gamma Ray Bursts (GRBs) sample. The analysis results show that
our model is consistent with cosmological observations. We try to distinct the
curvature effects from the specially scaling dark energy component as
parameterized. We study the linear growth of large scale structure, and finally
show the effective dark energy equation of state in our model and how the
matter component coincidences with the dark energy numerically.
