非线性薛定谔方程二层差分格式的讨论

A Research of Difference Schemes for Nonlinear Schr Dinger Equation

本文对非线性薛定谔方程提出了一种二层差分求解格式,并且揭示了该格式的收敛性和稳定性。最后对提出的差分格式进行了数值实验验证。实验结果表明,理论分析与实验结果相符。

One finite difference scheme is proposed for nonlinear Schr5 dinger equation resolution. It is proved that the proposed scheme is convergent and stable. A numerical computing example is given to prove the theoretical analysis.