The present high-order finite-difference (FD) methods can achieve spatial arbitrary even-order and temporal second-order accuracy, which results in strong time dispersion errors and poor stability, especially when a large time step is used. To mitigate this problem, we propose a temporal high-order staggered-grid FD (SFD) method for modelling 3D scalar wave propagation. Our method is based on a new stencil, in which both the points on the axis and several off-axial points are involved to approximate the spatial derivatives. We derive the corresponding dispersion relations and estimate the coefficients of FD operators by a combination Taylor series expansion and least squares. We compare our new method with the conventional, temporal fourth-order and sixth-order, and optimal SFD methods. Numerical examples suggest that the new method is more effective in suppressing temporal and spatial dispersion than other methods.


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