| A new finite difference scheme for a dissipative cubic nonlinear Schrdinger equation |
| |
| 作者姓名： | 张荣培 蔚喜军 赵国忠 |
| |
| 作者单位： | Graduate School of China Academy of Engineering Physics Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics |
| |
| 摘 要： | ![]()
This paper considers the one-dimensional dissipative cubic nonlinear Schrdinger equation with zero Dirichlet boundary conditions on a bounded domain.The equation is discretized in time by a linear implicit three-level central difference scheme,which has analogous discrete conservation laws of charge and energy.The convergence with two orders and the stability of the scheme are analysed using a priori estimates.Numerical tests show that the three-level scheme is more efficient.
|
| 关 键 词： | dissipative cubic nonlinear Schr¨odinger equation three-level finite difference convergence and stability analysis |
| 本文献已被 维普 等数据库收录！ |
