  This study proposes a novel parametrization approach for the dimensionless
Hubble parameter i.e. $E^2(z)=A(z)+\beta (1+\gamma B(z))$ in the context of
scalar field dark energy models. The parameterization is characterized by two
functions, $A(z)$ and $B(z)$, carefully chosen to capture the behavior of the
Hubble parameter at different redshifts. We explore the evolution of
cosmological parameters, including the deceleration parameter, density
parameter, and equation of state parameter. Observational data from Cosmic
Chronometers (CC), Baryonic Acoustic Oscillations (BAO), and the Pantheon+
datasets are analyzed using MCMC methodology to determine model parameters. The
results are compared with the standard $\Lambda$CDM model using the Planck
observations. Our approach provides a model-independent exploration of dark
energy, contributing to a comprehensive understanding of late-time cosmic
acceleration.
