Table 10 Results, with predictor-corrector (PreCor) and ω =1, for Example 3
From: Trigonometrically-fitted second derivative method for oscillatory problems
| Â | TSDM | PreCor | Simos1998 | Â | |||
|---|---|---|---|---|---|---|---|
N | NFEs | CPU | | E r r o r| | CPU | | E r r o r| | NFEs | | E r r o r| |
1000 | 4004 | 73 | 1.7(−3) | 4.8 | 2.9(0) | 8000 | 1.4(−1) |
2000 | 8004 | 145 | 2.5(−4) | 9.5 | 4.1(0) | 16000 | 3.5(−2) |
4000 | 16004 | 290 | 2.7(−5) | 19 | 3.1(−2) | 32000 | 1.1(−3) |
8000 | 32004 | 584 | 1.6(−6) | 38 | 2.3(−2) | 64000 | 8.4(−5) |
16000 | 64004 | 1194 | 1.0(−7) | 75 | 3.3(−3) | 128000 | 5.5(−6) |
32000 | 128004 | 2546 | 6.3(−9) | 150 | 4.1(−4) | 256000 | 3.5(−7) |