Research Article
An Efficient Compact Finite Difference Method for the Solution of the Gross-Pitaevskii Equation
Table 1
Error, order of accuracy, and CPU time with CFDM-AIF2 and RK2 scheme for Example
1.
| | × × | CFDM-AIF2, | RK2, | | error | Order | CPU (s) | error | Order | CPU (s) |
| | × × | 5.50 × 10−5 | — | 0.05 | 6.95 × 10−3 | — | 0.09 | | 32 × 32 × 32 | 3.59 × 10−6 | 3.94 | 0.43 | 1.74 × 10−3 | 2.00 | 2.06 | | 64 × 64 × 64 | 2.65 × 10−7 | 3.76 | 5.93 | 4.36 × 10−4 | 2.00 | 61.9 | | 128 × 128 × 128 | 2.69 × 10−8 | 3.30 | 127 | 1.09 × 10−4 | 2.00 | 2448 |
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