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metodi multi-step di Adams

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metodi multi-step di Adams
Metodi di Adams-Bashforth
u n +1 = u n + hf n (Eulero Esplicito)
h
u n +1 = u n + [3 f n − f n −1 ]
2
h
u n +1 = u n + [23 f n − 16 f n −1 + 5 f n − 2 ]
12
h
u n +1 = u n + [55 f n − 59 f n −1 + 37 f n − 2 − 9 f n −3 ]
24
Metodi di Adams-Moulton
u n +1 = u n + hf n +1 (Eulero Implicito)
h
u n +1 = u n + [ f n +1 + f n ] (Trapezi)
2
h
u n +1 = u n + [5 f n +1 + 8 f n − f n −1 ]
12
h
u n +1 = u n + [9 f n +1 + 19 f n − 5 f n −1 + f n − 2 ]
24
h
[251 f n+1 + 646 f n − 264 f n−1 + 106 f n− 2 − 19 f n−3 ]
u n +1 = u n +
720
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