A conservative spectral method for several two-dimensional nonlinear wave equations (Q1819038)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A conservative spectral method for several two-dimensional nonlinear wave equations |
scientific article; zbMATH DE number 1384959
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A conservative spectral method for several two-dimensional nonlinear wave equations |
scientific article; zbMATH DE number 1384959 |
Statements
A conservative spectral method for several two-dimensional nonlinear wave equations (English)
0 references
17 May 2000
0 references
The authors employ the standard spectral methods (fast Fourier transform) for the spatial discretization of the equations while for the time integration they use a three-level difference scheme with a free parameter \(\theta\) for the linear terms and leapfrog scheme for the nonlinear terms. Therefore solving the nonlinear algebraic equations is avoided. Excellent results of numerical experiments for the KP and the ZK equations are showed.
0 references
spectral method
0 references
KP equation
0 references
ZK equation
0 references
stability
0 references
numerical experiments
0 references
fast Fourier transform
0 references
0 references
0 references
0 references
