I just have a short question about something:
Which method calculates the more exact result for a differential equation? The Runge-Kutta-method with a constant step-size h or the predictor-corrector-method with the Adams-Bashford- and Adams-Moulton-method? I use the $P(EC)^mE$ method. Does this calculate a better result than the Runge-Kutta-method, even if $m=0$?
I need no proof for that, just the information for a better understanding. I didn't find a comparison, yet.