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摘要
This paper considers the one-dimensional dissipative cubic nonlinear Schrodinger 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.
- 出版日期2011-3
- 单位中国工程物理研究院; 北京应用物理与计算数学研究所
