  The general Ginzburg-Landau formulation of a holographic superconductor is
developed near the transition temperature in the probe limit for two kinds of
conformal dimension. Below the transition temperature, $T<T_c$, the
order-parameter scales with $\sqrt{1-\frac{T}{T_c}}$ as expected. The G-L free
energy in grand caonnical ensemble and canonical ensemble are derived and the
gradient term is studied. Furthermore this scaling coefficient of
order-parameter takes different values in the grand canonical ensemble and the
canonical ensemble, suggesting the strong coupling nature of the boundary field
theory of the superconductiviy.
