Research Article
Design of a Novel Second-Order Prediction Differential Model Solved by Using Adams and Explicit Runge–Kutta Numerical Methods
Table 2
Numerical values of the Adams and explicit Runge-Kutta scheme for Examples
3 and
4.
| x | Example 3 | Example 4 | Exact | Adams | Exact | Adams |
| 0.00 | 0.000000 | 0.000000 | 1.000000 | 1.000000 | 0.04 | 0.040000 | 0.039989 | 1.040800 | 1.040811 | 0.08 | 0.079900 | 0.079915 | 1.083300 | 1.083287 | 0.12 | 0.119700 | 0.119712 | 1.127500 | 1.127497 | 0.16 | 0.159300 | 0.159318 | 1.173500 | 1.173511 | 0.20 | 0.198700 | 0.198669 | 1.221400 | 1.221403 | 0.24 | 0.237700 | 0.237703 | 1.271200 | 1.271249 | 0.28 | 0.276400 | 0.276356 | 1.323100 | 1.323130 | 0.32 | 0.314600 | 0.314567 | 1.377100 | 1.377128 | 0.36 | 0.352300 | 0.352274 | 1.433300 | 1.433329 | 0.40 | 0.389400 | 0.389418 | 1.491800 | 1.491825 | 0.44 | 0.425900 | 0.425939 | 1.552700 | 1.552707 | 0.48 | 0.461800 | 0.461779 | 1.616100 | 1.616074 | 0.52 | 0.496900 | 0.496880 | 1.682000 | 1.682028 | 0.56 | 0.531200 | 0.531186 | 1.750700 | 1.750673 | 0.60 | 0.564600 | 0.564642 | 1.822100 | 1.822119 | 0.64 | 0.597200 | 0.597195 | 1.896500 | 1.896481 | 0.68 | 0.628800 | 0.628793 | 1.973900 | 1.973878 | 0.72 | 0.659400 | 0.659385 | 2.054400 | 2.054433 | 0.76 | 0.688900 | 0.688921 | 2.138300 | 2.138276 | 0.80 | 0.717400 | 0.717356 | 2.225500 | 2.225541 | 0.84 | 0.744600 | 0.744643 | 2.316400 | 2.316367 | 0.88 | 0.770700 | 0.770739 | 2.410900 | 2.410900 | 0.92 | 0.795600 | 0.795602 | 2.509300 | 2.509290 | 0.96 | 0.819200 | 0.819192 | 2.611700 | 2.611696 | 1.00 | 0.841500 | 0.841471 | 2.718300 | 2.718282 |
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