Research Article

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

Table 4

Comparison of CPU time among the optimal two-stage RK, RKF 23, and standard two-stage RK with .

CPU/Time 10 20 30 40 50

Optimal two-stage RK 0.5940 1.8430 3.7960 6.4690 9.7820
RKF 23 1.3910 3.9060 7.4530 12.0620 17.6090
Std two-stage RK 0.9840 3.5310 DivDiv Div