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 2.
Accuracy test for equation (
23
) with
g
= 0 and
λ
= −1/2. Here,
N
1
=
N
2
=
N
.
N
L
2
error
Rate
${L}^{\infty }$ error
Rate
200
4.05E-04
4.08E-04
400
1.03E-04
1.97
1.03E-04
1.98
800
2.58E-05
2.00
2.59E-05
1.99
1600
6.49E-06
1.99
6.50E-06
1.99