Abstract
We develop a Fourier-Galerkin spectral technique for computing the stationary solutions of 2D generalized wave equations. To this end a special complete orthonormal system of functions in L2 (- ∞, ∞) is used for which product formula is available. The exponential rate of convergence is shown. As a featuring example we consider the Proper Boussinesq Equation (PBE) in 2D and obtain the shapes of the stationary propagating localized waves. The technique is thoroughly validated and compared to other numerical results when possible.
Original language | English |
---|---|
Pages (from-to) | 82-92 |
Number of pages | 11 |
Journal | Mathematics and Computers in Simulation |
Volume | 74 |
Issue number | 2-3 |
DOIs | |
Publication status | Published - 7 Mar 2007 |
Keywords
- Boussinesq equation
- Galerkin spectral method
- Solitons