A Fourier Pseudospectral Method for the “ Good ” Boussinesq Equation with Second-Order Temporal Accuracy

@inproceedings{Cheng2014AFP,
  title={A Fourier Pseudospectral Method for the “ Good ” Boussinesq Equation with Second-Order Temporal Accuracy},
  author={Kelong Cheng and Wenqiang Feng and Sigal Gottlieb and Cheng Wang},
  year={2014}
}
In this article, we discuss the nonlinear stability and convergence of a fully discrete Fourier pseudospectral method coupled with a specially designed second-order time-stepping for the numerical solution of the “good” Boussinesq equation. Our analysis improves the existing results presented in earlier literature in two ways. First, a ∞(0, T ∗; H 2… CONTINUE READING