  We trace a systematic and consistent method to precisely numerate the
magnitude range for various structural and isospin compositional properties of
the neutron star. Incompressibility, symmetry energy, slope parameter and
curvature of a neutron star are investigated using the relativistic energy
density functional within the framework of coherent density fluctuation model.
The analytical expression for the energy density functional of the neutron star
matter is motivated from the Br$\ddot{u}$ckner functional and acquired by the
polynomial fitting of the saturation curves for three different relativistic
mean-field parameter sets (NL3, G3 and IU-FSU). The modified functional is
folded with the neutron star's density-dependent weight function to calculate
the numerical values for incompressibility and symmetry energy using the
coherent density fluctuation model. NL3 parameter set, being the stiffest
equation of state, endue us with a higher magnitude of all the properties
compared to the other two parameter sets.
