We derive an expression for the error introduced by the second-order accurate temporal
finite-difference (FD) operator, as present in the FD, pseudospectral and spectral element …

The staggered-grid finite-difference (FD) method is widely used in numerical simulation of
the wave equation. With stability conditions, grid dispersion often exists because of the …

The 2-D acoustic wave equation is commonly solved numerically by finite-difference (FD)
methods in which the accuracy of solution is significantly affected by the FD stencils. The …

The finite-difference (FD) wave equation is widely implemented in seismic imaging for oil
exploration. But the numerical dispersion due to discretization of time and space derivatives …

Finite difference (FD) is widely used for modeling seismic‐wave propagation in theoretical
and applied seismology. Traditional FD methods with the cross stencil exhibit spatial …

In the present study, we applied a novel mesh-free method to solve acoustic wave equation.
Although the conventional finite difference methods determine the coefficients of its operator …

Two staggered-grid finite-difference (SGFD) schemes with fourth-and sixth-order accuracies
in time have been developed recently based on new SGFD stencils. The SGFD coefficients …

It has been proved that the implicit spatial finite-difference (FD) method can obtain higher
accuracy than explicit FD by using an even smaller operator length. However, when only …

Conventional finite-difference (FD) methods cannot model acoustic wave propagation
beyond Courant-Friedrichs-Lewy (CFL) numbers 0.707 and 0.577 for two-dimensional (2D) …

The symplectic integration method is popular in high-accuracy numerical simulations when
discretizing temporal derivatives; however, it still suffers from time-dispersion error when the …