  The charmonium states with their different binding energies and radii
dissolve at different temperatures of the medium produced in relativistic
heavy-ion collisions. Relative yields of charmonium and thus their survival
have potential to map the properties of Quark Gluon Plasma. In this study, we
estimate the combined effect of color screening, gluon-induced dissociation and
recombination on charmonium production in heavy-ion collisions (Pb+Pb ions) at
centre of mass energy ($\sqrt{s_{\rm NN}}$) = 5.02 TeV. The rate equations of
dissociation and recombination are solved separately with a 2-dimensional
accelerated expansion of fireball volume. To solve the recombination rate
equation, we have used an approach of Bateman solution which ensures the
dissociation of the recombined charmonium in the QGP medium. The modifications
of charmonium states are estimated in an expanding QGP with the conditions
relevant for Pb+Pb collisions at LHC.
