The Boussinesq-type model developed by Fang et al. (2022) have shown satisfactory performance thanks to the usage of hybrid finite-volume and finite-difference numerical scheme, well balanced wet-dry interface and GPU acceleration. This study attempts to extend the model to simulate ship-borne waves. To this end, the pressure effect caused by the ship motion is introduced as a moving source term into the right hand sided of the Boussinesq momentum equations. This term is discretized on uniform rectangular grid and approximated by finite difference formulation. The simulation results of the extended Boussinesq model are compared against four sets of dataset from the physical experiments and numerical simulations from other models. Agreements and discrepancies are discussed in detail.