Testing of oscillating circuits ODE solving methods

摘要

This paper exploits Duffing equation and discusses some numerical methods to solve it. Numerical calculation's errors of the amplitude and the period of free oscillations of a large time interval of codes TR, BDF, and RADAU5 are computed. Publications describe a plurality of stiff test problems. The highly oscillating problems is known much less. Duffing equation can serve as test concurrently stiff and oscillating problem.