In this study, we have demonstrated the expansion history of an axially symmetric Bianchi type-I model universe. Our as now presents accelerating universe, which had been in decelerating phase past. Roles two crucial Hubble~$H(z)$ and deceleration~$q(z)$ parameters are examined. The energy universe estimated with help latest observational Hubble data (46-data points) Pantheon (the compilation S...