Abstract
Blow-up solutions for the generalized Davey-Stewartson system are studied numerically by using a split-step Fourier method. The numerical method has spectral-order accuracy in space and first-order accuracy in time. To evaluate the ability of the split-step Fourier method to detect blow-up, numerical simulations are conducted for several test problems, and the numerical results are compared with the analytical results available in the literature. Good agreement between the numerical and analytical results is observed.
| Original language | English |
|---|---|
| Pages (from-to) | 805-815 |
| Number of pages | 11 |
| Journal | International Journal of Computer Mathematics |
| Volume | 88 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Mar 2011 |
Keywords
- blow-up
- generalized Davey-Stewartson system
- split-step Fourier method