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

Table 6

Comparison of CPU time among the optimal four-stage RK, RKF 45, and standard four-stage RK with Δ𝑡=0.001.

CPU/Time	10	20	30	40	50
Optimal four-stage RK	1.0000	3.2030	6.5780	11.1560	16.9530
RKF 45	1.8750	5.0000	9.5000	15.3280	23.6410
Std four-stage RK	2.2660	4.6250	Div	Div	Div