  In this article we employ the matching method to analytically investigate the
properties of holographic superconductors in the framework of Maxwell
electrodynamics taking into account the effects of back reaction on spacetime.
The relationship between the critical temperature ($T_{c}$) and the charge
density ($\rho$) has been obtained first. The influence of back reaction on
Meissner like effect in this holographic superconductor is then studied. The
results for the critical temperature indicate that the condensation gets harder
to form when we include the effect of back reaction. The expression for the
critical magnetic field ($B_{c}$) above which the superconducting phase
vanishes is next obtained. It is observed from our investigation that the ratio
of $B_{c}$ and $T_{c}^{2}$ increases with the increase in the back reaction
parameter. However, the critical magnetic field $B_c$ decreases with increase
in the back reaction parameter.
