  In the forthcoming decades, the redshift drift observations in optical and
radio bands will provide accurate measurements on $H(z)$ covering the redshift
ranges of $2<z<5$ and $0<z<1$. In addition, gravitational wave (GW) standard
siren observations could make measurements on the dipole anisotropy of
luminosity distance, which will also provide the $H(z)$ measurements in the
redshift range of $0<z<3$. In this work, we propose a multi-messenger and
multi-wavelength observational strategy to measure $H(z)$ based on the three
next-generation projects, E-ELT, SKA, and DECIGO, and we wish to see whether
the future $H(z)$ measurements could provide tight constraints on dark-energy
parameters. It is found that E-ELT, SKA1, and DECIGO are highly complementary
in constraining dark energy models using the $H(z)$ data. We find that E-ELT,
SKA1, and DECIGO can tightly constrain $\Omega_m$, $w$ (or $w_0$), and $H_0$,
respectively, and thus the combination of them could effectively break the
cosmological parameter degeneracies. The joint E-ELT+SKA1+DECIGO data give
$\sigma(w)\approx 0.02$ in the $w$CDM model and $\sigma(w_0)\approx 0.03$ in
the CPL model, which are better than the results of {\it Planck} 2018
TT,TE,EE+lowE+lensing+SNe+BAO. But even the joint data cannot well constrain
$w_a$ in the CPL model.
