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three-step Adams–Moulton method
implicit linear numerical method for solving differential equations
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Statements
instance of
Adams–Moulton methods
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follows
two-step Adams–Moulton method
criterion used
number of steps
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followed by
four-step Adams–Moulton method
criterion used
number of steps
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defining formula
y
n
+
3
=
y
n
+
2
+
h
(
9
24
f
(
t
n
+
3
,
y
n
+
3
)
+
19
24
f
(
t
n
+
2
,
y
n
+
2
)
−
5
24
f
(
t
n
+
1
,
y
n
+
1
)
+
1
24
f
(
t
n
,
y
n
)
)
{\displaystyle y_{n+3}=y_{n+2}+h\left({\frac {9}{24}}f(t_{n+3},y_{n+3})+{\frac {19}{24}}f(t_{n+2},y_{n+2})-{\frac {5}{24}}f(t_{n+1},y_{n+1})+{\frac {1}{24}}f(t_{n},y_{n})\right)}
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has characteristic
number of steps
quantity
3
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order of convergence
of
global error
numeric value
4
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maintained by WikiProject
WikiProject Mathematics
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opposite of
fourth-order Adams–Bashforth method
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