Abstract: We investigate cosmological dark energy models where the accelerated expansion of the universe is driven by a field with an anisotropic universe. The constraints on the parameters are obtained by maximum likelihood analysis using observational of 194 Type Ia supernovae (SNIa) and the most recent joint light-curve analysis (JLA) sample. In particular we reconstruct the dark energy equation of state parameter w(z) and the deceleration parameter q(z). We find that the best fit dynamical w(z) obtained from the 194 SNIa dataset does not cross the phantom divide line w(z)=-1 and remains above and close to w(z) =-0.92 line for the whole redshift range 0≤z≤1.75 showing no evidence for phantom behavior. By applying the anisotropy effect on the ΛCDM model, the joint analysis indicates that _σ0=0.0163±0.03, with 194 SNIa, _σ0=-0.0032±0.032 with 238 the SiFTO sample of JLA and _σ0=0.011±0.0117 with 1048 the SALT2 sample of Pantheon at 1σ' confidence interval. The analysis shows that by considering the anisotropy, it leads to more best fit parameters in all models with JLA SNe datasets. Furthermore, we use two statistical tests such as the usual χ_min²/dof and p-test to compare two dark energy models with ΛCDM model. Finally we show that the presence of anisotropy is confirmed in mentioned models via SNIa dataset.

Key words: anisotropy effect, luminosity distance, maximum likelihood, supernova data