RKCK54 (Cash-Karp)

class pathsim.solvers.rkck54.RKCK54(*solver_args, **solver_kwargs)[source]

Bases: ExplicitRungeKutta

Cash-Karp 5(4) pair. Six stages, 5th order with embedded 4th order error estimate.

Designed to improve on the stability properties of the Fehlberg pair (RKF45) while keeping the same stage count.

Characteristics

  • Order: 5 (propagating) / 4 (embedded)

  • Stages: 6

  • Explicit, adaptive timestep

Note

Comparable to RKDP54 in cost and accuracy for most non-stiff block diagrams. Can exhibit slightly better stability on problems with eigenvalues near the imaginary axis. Both pairs are solid 5th order choices; RKDP54 is the more commonly used default.

References