摘要
对径向对称的非线性Schr¨odinger方程提出了一个新的守恒差分格式 ,这是一个三层格式 ,它不需迭代求解 ,因此提高了计算速度 ,同时也较好地保持了方程的两个守恒律。文中证明了格式的收敛性与稳定性 ,数值计算结果表明 。
A new finite difference scheme is proposed for radial symmetric nonlinear Schrdinger equation. This is a scheme of three levels which needn't to iterate. Thus, the new scheme requires less CPU time. Convergence and stability of the new scheme are proved. By means of numerical computation, it is followed that the new scheme is efficient. [
出处
《计算物理》
CSCD
北大核心
2000年第3期215-220,共6页
Chinese Journal of Computational Physics
关键词
径向对称
差分格式
守恒
非线性
薛定锷方程
radial symmetry
NLS equation
difference scheme
conservation
convergence
