Research Article
Analysis of Exponential Runge–Kutta Methods for Differential Equations with Time Delay
Table 1
Numerical errors and orders of ERK1
and ERK2
methods for Example
1.
| | ERK1 | ERK2 | | Error | Order | Error | Order |
| | 5/200 | 9.4335E-3 | — | 3.1599E-06 | — | | 5/400 | 5.1735E-3 | 0.86666 | 9.2389E-07 | 1.7741 | | 5/800 | 2.7035E-3 | 0.93629 | 2.5157E-07 | 1.8768 | | 5/1600 | 1.3811E-3 | 0.96899 | 6.5698E-08 | 1.9370 | | 5/3200 | 6.9792E-4 | 0.98471 | 1.6789E-08 | 1.9683 | | 5/6400 | 3.5080E-4 | 0.99241 | 4.2437E-09 | 1.9841 |
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