Generalized Laguerre approximations and spectral method for the Camassa-Holm equation. (English) Zbl 1323.65112
The authors propose “a spectral method based on generalized Laguerre functions for the Camassa-Holm equation”. The convergence is proved. Numerical examples are also discussed.
Reviewer: Răzvan Răducanu (Iaşi)
MSC:
| 65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 65M15 | Error bounds for initial value and initial-boundary value problems involving PDEs |
| 35Q35 | PDEs in connection with fluid mechanics |
