publication . Preprint . 2018

Optimal error estimate of two linear and momentum-preserving Fourier pseudo-spectral schemes for the RLW equation

Hong, Qi; Wang, Yushun; Gong, Yuezheng;
Open Access English
  • Published: 25 Jun 2018
Abstract
In this paper, two novel linear-implicit and momentum-preserving Fourier pseudo-spectral schemes are proposed and analyzed for the regularized long-wave equation. The numerical methods are based on the blend of the Fourier pseudo-spectral method in space and the linear-implicit Crank-Nicolson method or the leap-frog scheme in time. The two fully discrete linear schemes are shown to possess the discrete momentum conservation law, and the linear systems resulting from the schemes are proved uniquely solvable. Due to the momentum conservative property of the proposed schemes, the Fourier pseudo-spectral solution is proved to be bounded in the discrete $L^{\infty}$ ...
Subjects
free text keywords: Mathematics - Numerical Analysis
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