Adaptive Optimal 𝑚-Stage Runge-Kutta Methods for Solving Reaction-Diffusion-Chemotaxis Systems

Table 7

Comparison of CPU time between the optimal four-stage RK with the average time step of the “best” and the “worst” cases, and the RKF 45.

CPU/Time	10	20	30	40	50
Optimal four-stage RK	1.0000	3.2030	6.5780	11.1560	16.9530
Four-stage RK Δ𝑡= (3.11)	1.2660	4.0470	8.3600	14.2190	21.5160
RKF 45	1.8750	5.0000	9.5000	15.3280	23.6410