Table 1 Results with ω =1, e =0 . 005, for Example 1
From: Trigonometrically-fitted second derivative method for oscillatory problems
TSDM | FESDIRK4(3) | ESDIRK4(3) | |||
|---|---|---|---|---|---|
N | | E r r o r| | N | | E r r o r| | N | | E r r o r| |
150 | 1.203×10−2 | 170 | 2.866×10−1 | 277 | 2.153×100 |
200 | 5.694×10−3 | 225 | 7.846×10−3 | 496 | 1.494×10−1 |
300 | 3.143×10−4 | 381 | 1.399×10−3 | 884 | 9.359×10−3 |
600 | 1.259×10−6 | 680 | 1.690×10−4 | 1573 | 6.200×10−4 |
800 | 1.264×10−7 | 1207 | 1.846×10−5 | 2796 | 4.416×10−5 |
1600 | 4.947×10−10 | 2144 | 1.938×10−6 | 4970 | 3.412×10−6 |
2400 | 1.931×10−11 | 3806 | 1.993×10−7 | 8833 | 2.848×10−7 |
3200 | 1.944×10−12 | 6762 | 2.021×10−8 | 15706 | 2.530×10−8 |