Research Article
A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly
Table 2
Numerical results for solving Problem
2.
| TOL | MTD | TS | MAXE | AVERR | FC |
| 10−2 | ode45 | 11 | 5.027 (−3) | 3.806 (−3) | 67 | 4P1FI | 58 | 2.528 (−7) | 3.002 (−8) | 490 | 4PHODE | 28 | 5.537 (−6) | 2.245 (−7) | 250 |
| 10−4 | ode45 | 13 | 1.967 (−4) | 1.253 (−4) | 79 | 4P1FI | 68 | 9.819 (−9) | 1.117 (−9) | 571 | 4PHODE | 36 | 4.193 (−7) | 1.432 (−8) | 315 |
| 10−6 | ode45 | 25 | 4.592 (−7) | 1.870 (−7) | 151 | 4P1FI | 86 | 1.219 (−10) | 9.992 (−12) | 715 | 4PHODE | 46 | 1.003 (−7) | 4.290 (−9) | 395 |
| 10−8 | ode45 | 58 | 1.861 (−9) | 1.006 (−9) | 349 | 4P1FI | 135 | 1.363 (−12) | 1.597 (−13) | 1107 | 4PHODE | 56 | 2.413 (−8) | 1.012 (−9) | 475 |
| 10−10 | ode45 | 142 | 4.555 (−11) | 2.026 (−11) | 853 | 4P1FI | 807 | 5.630 (−14) | 1.250 (−14) | 6483 | 4PHODE | 71 | 1.949 (−10) | 7.564 (−12) | 595 |
| KAYODE (a) | Not stated | 2.225 (−7) | Not stated | Not stated | KAYODE (b) | 10 | 3.156 (−4) | Not stated | Not stated |
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