Pseudospectral Method for the "Good" Boussinesq Equation
Copyright policy )Pseudospectral Method for the "Good" Boussinesq Equation
The paper deals with the pseudospectral time-discrete method for the ''good'' Boussinesq equation. The difficulties in the study of the stability of the aliasing error in the nonlinear term are removed in a way which is roughly equivalent to the use of negative Sobolev norms. Numerical comparisons with finite difference schemes are also given.
pseudospectral time-discrete method, convergence, KdV equations (Korteweg-de Vries equations), good Boussinesq equation, numerical comparisons, Applications to the sciences, nonlinear stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, negative Sobolev norms, finite difference schemes
pseudospectral time-discrete method, convergence, KdV equations (Korteweg-de Vries equations), good Boussinesq equation, numerical comparisons, Applications to the sciences, nonlinear stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, negative Sobolev norms, finite difference schemes
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