Abstract
We study error and convergence of a fully discrete Fourier–Galerkin scheme to approximate the solutions of the time-dependent cubic Schrödinger equation. The evolution is carried out combining a second-order accurate scheme and a Fourier-spectral discretization in space. The illustrative cases include simulations with analytic periodic standing waves of the Schrödinger equation. The numerical results are in perfect agreement with our analytical results.
Notes
This work was supported by Universidad del Valle, A. A. 25360, Cali Colombia and Colciencias.