A high order compact time/space finite difference scheme for the wave equation with variable speed of sound

S Britt, E Turkel, S Tsynkov - Journal of Scientific Computing, 2018 - Springer
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 …

A Compact High-Order Finite-Difference Method with Optimized Coefficients for 2D Acoustic Wave Equation

L Chen, J Huang, LY Fu, W Peng, C Song, J Han - Remote Sensing, 2023 - mdpi.com
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 …

A compact ADI finite difference method for 2D reaction–diffusion equations with variable diffusion coefficients

M He, W Liao - Journal of Computational and Applied Mathematics, 2024 - Elsevier
Reaction–diffusion systems on a spatially heterogeneous domain have been widely used to
model various biological applications. However, solving such partial differential equations …

[HTML][HTML] On the dispersion, stability and accuracy of a compact higher-order finite difference scheme for 3D acoustic wave equation

W Liao - Journal of Computational and Applied Mathematics, 2014 - Elsevier
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 …

[HTML][HTML] A compact high order alternating direction implicit method for three-dimensional acoustic wave equation with variable coefficient

K Li, W Liao, Y Lin - Journal of Computational and Applied Mathematics, 2019 - Elsevier
Efficient and accurate numerical simulation of seismic wave propagation is important in
various Geophysical applications such as seismic full waveform inversion (FWI) problem …

Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media

W Liao, P Yong, H Dastour, J Huang - Applied Mathematics and …, 2018 - Elsevier
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 …

Adaptive 9-point frequency-domain finite difference scheme for wavefield modeling of 2D acoustic wave equation

W Xu, J Gao - Journal of Geophysics and Engineering, 2018 - academic.oup.com
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 …

Sixth-order finite difference schemes for nonlinear wave equations with variable coefficients in three dimensions

S Wang, Y Ge, T Ma - International Journal of Computer …, 2023 - Taylor & Francis
First, a nonlinear difference scheme is proposed to solve the three-dimensional (3D)
nonlinear wave equation by combining the correction technique of truncation error …

An explicit high-order compact finite difference scheme for the three-dimensional acoustic wave equation with variable speed of sound

Y Jiang, Y Ge - International Journal of Computer Mathematics, 2023 - Taylor & Francis
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 …

High-order spline finite element method for solving time-dependent electromagnetic waves

I El-Barkani, I El-Hadouti, M Addam, M Seaid - Applied Numerical …, 2024 - Elsevier
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 …