Nonlinear Schrödinger equation with a Dirac delta potential: finite difference method
*
Bin Cheng(程彬),Ya-Ming Chen(陈亚铭),Chuan-Fu Xu(徐传福),Da-Li Li(李大力),Xiao-Gang Deng(邓小刚)
Table 3.
Accuracy test for equation (
23
) with
g
= 1 and $\lambda =-1$. Here,
N
1
=
N
2
=
N
.
N
L
2
error
Rate
${L}^{\infty }$ error
Rate
100
6.27E-03
9.84E-03
200
1.56E-03
2.00
2.51E-03
1.96
400
3.89E-04
2.00
6.23E-04
2.01
800
9.70E-05
2.00
1.54E-04
2.01