Noether symmetries of tachyonic teleparallel cosmology with boundary term

The nature of dark energy is an important issue studied in the field of cosmology. Currently, several models have been presented to describe the acceleration dynamics of the world. One of the models that adequately explains the acceleration of the universe is the tachyonic scalar model, which has been considered for the first time in string theories and retains appealing cosmological aspects. We are interested to examine tachyonic fields in the teleparallel gravity with a boundary term. We initially consider the background equations of the proposed model and conclude that the accelerated expansion can be adequately explained, so the tachyonic field remains a suitable candidate for dark energy. We applied the Noether symmetry approach to select unknown functions such as potential V (phi) and coupling coefficients f(phi) and g(phi), and in addition to accurately determining these functions, we were capable to obtain the conserved quantity is called the Noether charge. Next, according to these possible solutions, we solved the background equations numerically and typically obtained the parameters of Hubble, equation of state, energy density and deceleration parameter. We compared the model parameters with the observational data and concluded that our model could be well consistent with the observations in the coupling coefficient range of 0.01 <= k <= 0.1.