We discuss sixth order accurate 9-point compact 2-and 3-phase block alternating group
explicit (block-AGE) iteration methods for computing 2D Helmholtz equation. We use …

Sixth-order quasi-compact difference (QCD) schemes are proposed for the two-dimensional
(2D) and the three-dimensional (3D) Helmholtz equations with the variable parameter. Our …

The accuracy of numerical results using standard finite element method (FEM) in acoustic
problems will deteriorate with increasing frequency due to the “dispersion error”. Such …

Let Γ be a smooth curve inside a two-dimensional rectangular region Ω. In this paper, we
consider the Poisson interface problem−∇ 2 u= f in Ω∖ Γ with Dirichlet boundary condition …

Full-waveform inversion and reverse time migration rely on an efficient forward-modeling
approach. Current 3D large-scale frequency-domain implementations of these techniques …

In this paper, we present an optimal compact finite difference scheme for solving the 2D
Helmholtz equation. A convergence analysis is given to show that the scheme is sixth-order …

This paper investigates the temperature distribution of porous fins with different profiles
(rectangular, triangular, convex parabolic and concave parabolic profiles) under fully wet …

This work extends the previous two-dimensional compact scheme for the Cahn–Hilliard
equation (Lee et al., 2014) to three-dimensional space. The proposed scheme, derived by …

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 …

Nine point sixth order compact numerical approximations are suggested to solve 2D
nonlinear elliptic partial differential equations (NLEPDEs) and for the estimation of normal …