International Journal of Geometric Methods in Modern Physics, 2025 (SCI-Expanded)
In this paper, we have established a scalar field dark energy model in the flat FLRW universe, with the aim of studying the evolution of cosmic acceleration. A parameterization of the deceleration parameter q(z) is considered. We derive constraints on cosmological parameters by applying sophisticated Markov Chain Monte Carlo (MCMC) methods through the combination of various cosmological datasets such as Baryon Acoustic Oscillation (BAO) data points, Cosmic Chronometer (CC) measurements, and Standard Candle (SC) datasets from Pantheon Type Ia supernovae (SNe Ia), Quasars and gamma-ray bursts. This analysis allows us to determine a transition redshift, from the decelerated to the accelerated universe, with a value of ztr = 0.69 and the current value of the deceleration parameter is q0 = -0.64. The dynamical behavior of quintessence is confirmed by the Equation of State (EoS) parameter, where -1 < ω0φ < 0, indicating a subtle deviation from the cosmological constant. At lower redshifts z < 0.65, our model shows strong agreement with the ΛCDM model, while clear deviations are observed at higher redshifts z > 0.65. This study, through an analysis of cosmographic parameters such as energy density ρφ, pressure pφ, and the scalar field EoS, emphasizes the potential of scalar field models as leading candidates for dark energy. Furthermore, we observe that the model yields a slightly higher value of the Hubble constant H0 for certain dataset combinations, indicating that it may partially alleviate the Hubble tension.