## A predictor-corrector

A predictor-corrector method for the approximate solution of $y'=f(t,y)$ uses
y_{n+1}-y_{n}=hf_{n} \tag P

as predictor and
y_{n+1}-y_{n}=\frac{h}{2}(f_{n+1}+f_{n}) \tag C

as corrector. Determine the orders of the PECE,PECECE methods, with explanation.
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I know the PECE ($P=P* +1$)
Order of Predictor $P=1$
Order of Corrector $C=2$
So, Order of PECE is $2$
Similarly,
PECECE ($P=P* +2$)
Order of Predictor $P=1$
Order of Corrector $C=2$
So, Order of PECECE is also $2$ (limited by order of truncation error)
CAN SOMEONE PLEASE GIVE ME BETTER EXPLANATION THAN MINE.