Research Article
A Family of Trigonometrically Fitted Enright Second Derivative Methods for Stiff and Oscillatory Initial Value Problems
Table 5
Results with
,
, for Example
19.
| | | ESDM | FESDIRK | ESDIRK | | EM1 | EM2 | EM3 | EM4 | EM5 | FESDIRK4 (3) | ESDIRK4 (3) |
| | 300 | 600 | 600 | 600 | 1200 | 381 | 884 | | Err | 2.4 (−3) | 3.0 (−4) | 1.2 (−4) | 2.6 (−1) | 1.2 (−7) | 1.4 (−3) | 9.4 (−3) | | 600 | 1200 | 1200 | 1200 | 2000 | 680 | 1573 | | Err | 1.8 (−3) | 9.8 (−6) | 4.5 (−6) | 4.6 (−7) | 2.4 (−9) | 1.7 (−4) | 6.2 (−4) | | 1200 | 2000 | 2000 | 2000 | 2400 | 1207 | 2796 | | Err | 2.8 (−4) | 7.5 (−7) | 4.0 (−7) | 1.3 (−8) | 1.1 (−9) | 1.8 (−5) | 4.4 (−5) | | 2000 | 3200 | 3200 | 3200 | 3200 | 2144 | 4970 | | Err | 6.2 (−5) | 7.3 (−8) | 3.9 (−8) | 4.9 (−10) | 1.6 (−10) | 1.9 (−6) | 3.4 (−6) | | 4000 | 4800 | 4800 | 4800 | 4800 | 3806 | 8833 | | Err | 7.8 (−6) | 9.6 (−9) | 5.2 (−9) | 2.9 (−11) | 9.2 (−12) | 1.9 (−7) | 2.8 (−7) | | 8000 | 8000 | 8000 | 8000 | 8000 | 6762 | 15706 | | Err | 9.7 (−7) | 7.5 (−10) | 4.0 (−10) | 8.8 (−13) | 3.6 (−13) | 2.0 (−8) | 2.5 (−8) |
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