for the $\Lambda$CDM, $w$CDM, and HDE models, while E-ELT mock data do not help improve constraints in the CPL model. When adding the SKA1 mock data to the SN+CMB+BAO+E-ELT, the constraint results are significantly improved in all the four dark energy models. For example, with the help of the SKA1 mock data, the constraints on $\Omega_{\rm m}$ are improved by 10$\%$–25$\%$, and the constraints on $h$ are improved by 10$\%$–70$\%$. Furthermore, when the SKA2 mock data are combined with the dataset of SN+CMB+BAO+E-ELT, the constraint results are tremendously improved in all the four dark energy models. Concretely, the constraints on $\Omega_{\rm m}$ are improved by 40$\%$–70$\%$, and the constraints on $h$ are improved by 50$\%$–75$\%$. We also find that the degeneracy between cosmological parameters could be effectively broken by the combination of the E-ELT and SKA mock data. Therefore, we can conclude that in the future the redshift-drift observation of SKA would help to improve the constraints in constraining dark energy and have a good potential to be one of the most competitive cosmological probes in constraining dark energy.

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11875102, 11975072, 11835009, 11522540, and 11690021) and 