摘要
研究了一类具波动算子的非线性Schr?dinger方程的数值计算问题.给出了该方程的两个守恒律,构造了求解该方程近似解的一种守恒差分格式,使该差分格式的精度在时间和空间上均达到二阶精度,并对该格式的收敛性及稳定性进行了证明.数值实验与理论结果相一致,很好地验证了本文提出的离散格式.
The numerical calculation of nonlinear Schr?dinger equation with wave operator was studied,which contains two conservation laws,and a conservative difference scheme with two orders accuracy in both time and space.Meanwhile,the convergence and stability were proved.Finally,the discrete format proposed in this paper was examined by the numerical simulation,the numerical experiments gave a good agreement with the theoretical results.
引文
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