Research Article
Adaptive Optimal -Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems
Table 5
Comparison of CPU time among the optimal three-stage RK, RKF 34, and standard three-stage RK with
and
, respectively.
| CPU/Time | 10 | 20 | 30 | 40 | 50 |
| Optimal three-stage RK | 0.8910 | 2.8280 | 5.7970 | 9.7970 | 15.0000 | RKF 34 | 1.7190 | 4.5150 | 8.5630 | 13.6880 | 20.0780 | Std three-stage RK | 3.1710 | 6.6410 | 11.0630 | 13.1250 | 19.2340 | Std three-stage RK | 1.6880 | 3.310 | Div | Div | Div |
|
|