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Fourier–Galerkin method for 2D solitons of Boussinesq equation
- Source :
- Mathematics and Computers in Simulation. 74:82-92
- Publication Year :
- 2007
- Publisher :
- Elsevier BV, 2007.
-
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 L^2(-~,~) 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.
- Subjects :
- Numerical Analysis
General Computer Science
Applied Mathematics
Mathematical analysis
Wave equation
Theoretical Computer Science
Exponential function
symbols.namesake
Fourier transform
Rate of convergence
Modeling and Simulation
symbols
Orthonormal basis
Boussinesq approximation (water waves)
Galerkin method
Mathematics
Subjects
Details
- ISSN :
- 03784754
- Volume :
- 74
- Database :
- OpenAIRE
- Journal :
- Mathematics and Computers in Simulation
- Accession number :
- edsair.doi...........f8666f59a4529f39a0412ea32eb6fe73