  Elliptic flow in heavy-ion collisions is an important signature of a possible
de-confinement transition from hadronic phase to partonic phase. In the present
work, we use non-extensive statistics, which has been used for transverse
momentum ($p_{\rm T}$) distribution in proton+proton ($p+p$) collisions, as the
initial particle distribution function in Boltzmann Transport Equation (BTE). A
Boltzmann-Gibbs Blast Wave (BGBW) function is taken as an equilibrium function
to get the final distribution to describe the particle production in heavy-ion
collisions. In this formalism, we try to estimate the elliptic flow in Pb+Pb
collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV at the LHC for different
centralities. The elliptic flow ($v_2$) of identified particles seems to be
described quite well in the available $p_{\rm T}$ range. An approach, which
combines the non-extensive nature of particle production in $p+p$ collisions
through an evolution in kinetic theory using BTE, with BGBW equilibrium
distribution is successful in describing the spectra and elliptic flow in
heavy-ion collisions.
