  Understanding the evolution of dark energy poses a significant challenge in
modern cosmology, as it is responsible for the universe's accelerated
expansion. In this study, we focus on a specific $f(T)$ cosmological model and
analyze its behavior using observational data, including 31 data points from
the CC dataset, 1048 points from the Pantheon SNe Ia samples, and 6 points from
the BAO dataset. By considering a linear $f(T)$ model with an additional
constant term, we derive the expression for the Hubble parameter as a function
of cosmic redshift for non-relativistic pressureless matter. We obtain the
best-fit values for the Hubble constant, $H_0$, and the model parameters
$\alpha$ and $\beta$, indicating a stable model capable of explaining late-time
cosmic acceleration without invoking a dark energy component. This is achieved
through modifying field equations to account for the observed accelerated
expansion of the universe.
