In this paper, we propose a weighted Runge–Kutta (RK) discontinuous Galerkin (WRKDG) method for wave field modelling. For this method, we first transform these is mic wave equations in 2-D heterogeneous anisotropic media in to a first-order hyperbolicsystem, and then combine the discontinuous Galerkin method (DGM) with a weighted RK time discretization. The time discretizati…