We consider fourth order accurate compact schemes, in both space and time, for the second
order wave equation with a variable speed of sound. We demonstrate that usually this is …

High-precision finite difference (FD) wavefield simulation is one of the key steps for the
successful implementation of full-waveform inversion and reverse time migration. Most …

Reaction–diffusion systems on a spatially heterogeneous domain have been widely used to
model various biological applications. However, solving such partial differential equations …

In this paper, we propose a compact fourth-order finite difference scheme with low numerical
dispersion to solve the 3D acoustic wave equation. Padé approximation has been used to …

Efficient and accurate numerical simulation of seismic wave propagation is important in
various Geophysical applications such as seismic full waveform inversion (FWI) problem …

In this paper, a compact fourth-order finite difference scheme is derived to solve the 2D
acoustic wave equation in heterogenous media. The Padé approximation is used to obtain …

The frequency-domain finite difference (FDFD) method is a useful tool for wavefield
modeling of wave equations. To further improve the accuracy and efficiency of wavefield …

First, a nonlinear difference scheme is proposed to solve the three-dimensional (3D)
nonlinear wave equation by combining the correction technique of truncation error …

In this paper, the correction for the remainder of the truncation error of the second-order
central difference scheme is employed to discretize temporal derivative, while the fourth …

In this paper we propose a high-order spline finite element method for solving a class of time-
dependent electromagnetic waves and its associated frequency-domain approach. A …