Cosmological dynamics of accelerating model in \(f(Q)\) gravity with latest observational data

In the current study, we have considered three different parameterizations of deceleration parameter to describe the cosmological dynamics of the accelerating universe in \(f(Q)\) gravity. The power law symmetric teleparallel gravity with a specific form \(f(Q)= Q + n Q^{m}\) is assumed for the modelling purpose. Here, \(m\) and \(n\) are constants and \(Q\) is the non-metricity term that describes the gravitational interaction in space time. We constructed the field equations depending on the power law \(f(Q)\) gravity and parameters are extracted using experimental observations. Latest observational datasets of BAO, \(H(z)\) and Pantheon are utilized to predict the best fit values of parameters and current value of Hubble constant. The Markov Chain Monte Carlo (MCMC) algorithm has been used to decide the best plausible values of parameters. We numerically represent the physical and geometrical features of the models and thoroughly explore their development. We analyzed our models using the jerk and Om diagnosis that depict the derived cosmic models are different from the \(\Lambda \)CDM model expressing late time accelerated expansion of cosmos with phantom type of the universe. We also discussed the viability of models by the analysis of energy conditions.