Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499295 | Computer Methods in Applied Mechanics and Engineering | 2009 | 9 Pages |
Abstract
In this paper, two compact finite difference schemes are presented for the numerical solution of the one-dimensional nonlinear Schrödinger equation. The discrete L2L2-norm error estimates show that convergence rates of the present schemes are of order O(h4+τ2)O(h4+τ2). Numerical experiments on some model problems show that the present schemes preserve the conservation laws of charge and energy and are of high accuracy.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Shu-Sen Xie, Guang-Xing Li, Sucheol Yi,