<p>Nowadays, various of finite difference methods have been widely used to solve the acoustic wave equation from different application areas. Unfortunately, some traditional difference schemes are trapped in low accuracy and cannot provide satisfactory discretization for partial derivatives. To surmount the deficiencies in computation, a combination incorporating a combined compact difference scheme and a set of boundary equation is introduced to seek better approximate solution of two-dimensional acoustic wave equation with constant velocity. The novel scheme still maintains fourth-order accuracy and eighth-order accuracy in the discretization of temporal and spatial derivatives, respectively. To our astonishment, its spatial partial derivatives can be easily computed by a single calculation with the help of the Schur-complement operator. Additionally, stability and dispersion relation of the proposed schemes are derived and analyzed in detail with the aid of Fourier analysis technique. Ultimately, some typical numerical experiments confirm that the novel scheme exhibits better computational accuracy, particularly demonstrating outstanding dispersion suppression effects under large-scale and coarser spatial grids.</p>