Research Article
Numerical Approximation of One- and Two-Dimensional Coupled Nonlinear Schrödinger Equation by Implementing Barycentric Lagrange Interpolation Polynomial DQM
Table 3
Comparison of
errors for first wave amplitude with parameters
e = 2/3,
, [−20, 80],
, and
at different time levels and
.
| | t | = 0.1 | = 0.08 | = 0.04 | | |
Ismail and Taha
[11] |
(N = 51)
[present method] |
Ismail and Taha
[11] |
(N = 51)
[present method] |
Ismail and Taha
[11] |
(N = 51)
[present method] |
| | t = 4 | 0.0151 | 3.9827e − 15 | 0.0145 | 3.9827e − 15 | 0.0026 | 3.9827e − 15 | | t = 8 | 0.0288 | 1.3914e − 17 | 0.0278 | 1.3914e − 17 | 0.0037 | 1.3914e − 17 | | t = 12 | 0.0422 | 4.8607e − 20 | 0.0403 | 4.8607e − 20 | 0.0028 | 4.8607e − 20 | | t = 16 | 0.0557 | 1.6981e − 22 | 0.0533 | 1.6981e − 22 | 0.0036 | 1.6981e − 22 | | t = 20 | 0.0693 | 5.9322e − 25 | 0.0664 | 5.9322e − 25 | 0.0050 | 5.9322e − 25 |
|
|
