In this paper, the heat transfer and dynamics of Rayleigh-Bénard (RB) convection in a two-dimensional channel, subject to (heat and cool) inhomogeneous boundary conditions, are investigated at different Rayleigh number using a thermal lattice Boltzmann method (LBM). The effects of the heterogeneous pattern on the global heat exchange at both low and high Rayleigh numbers are presented. It is found that individual isothermal distribution appears independently near every heat source. It is also observed that individual isothermal distribution is merged and the whole isothermal distribution appears away from every heat source. It is further found that the velocity and temperature spectra have a roll-off rate of  and  respectively, consistent with the Bolgiano-Obukhov-like (BO59) scaling. A relationship  between Rayleigh numbers (Ra) and Nusselt number (Nu) is constructed approximately for

transfer, LBM, inhomogeneous, Rayleigh, Nusselt.