Abstract
We develop and analyze finite difference schemes for the two-dimensional Helmholtz equation. The schemes which are based on nine-point approximation have a sixth-order accurate local truncation order. The schemes are compared with the standard five-point pointwise representation, which has second-order accurate local truncation error and a nine-point fourth-order local truncation error scheme based on a Padé approximation. Numerical results are presented for a model problem.
| Original language | English |
|---|---|
| Pages (from-to) | 339-351 |
| Number of pages | 13 |
| Journal | Journal of Computational Acoustics |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2006 |
Keywords
- Helmholtz equation
- High order finite difference