Research Article

Adaptive Optimal 𝑚 -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 6.641011.0630 13.125019.2340
Std three-stage RK 1.6880 3.310DivDivDiv