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fifth-order Adams–Bashforth method
an explicit, five-step method for numerically solving ordinary differential equations
five-step Adams-Bashforth method
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Statements
instance of
Adams–Bashforth methods
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follows
fourth-order Adams–Bashforth method
criterion used
number of steps
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defining formula
y
n
+
5
=
y
n
+
4
+
h
(
1901
720
f
(
t
n
+
4
,
y
n
+
4
)
−
2774
720
f
(
t
n
+
3
,
y
n
+
3
)
+
2616
720
f
(
t
n
+
2
,
y
n
+
2
)
−
1274
720
f
(
t
n
+
1
,
y
n
+
1
)
+
251
720
f
(
t
n
,
y
n
)
)
{\displaystyle y_{n+5}=y_{n+4}+h\left({\frac {1901}{720}}f(t_{n+4},y_{n+4})-{\frac {2774}{720}}f(t_{n+3},y_{n+3})+{\frac {2616}{720}}f(t_{n+2},y_{n+2})-{\frac {1274}{720}}f(t_{n+1},y_{n+1})+{\frac {251}{720}}f(t_{n},y_{n})\right)}
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has characteristic
number of steps
quantity
5
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order of convergence
of
global error
numeric value
5
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maintained by WikiProject
WikiProject Mathematics
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opposite of
four-step Adams–Moulton method
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