Taylor Series Expansion
2016+Week4
2016+Week4
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Second Order <strong>Taylor</strong> <strong>Series</strong> Methods<br />
Given<br />
Second<br />
dy(<br />
x)<br />
dx<br />
<br />
f<br />
( y,<br />
x),<br />
order <strong>Taylor</strong> <strong>Series</strong><br />
y(<br />
x<br />
0<br />
)<br />
<br />
y<br />
method<br />
0<br />
y<br />
d<br />
i1<br />
2<br />
dx<br />
y<br />
2<br />
<br />
y<br />
i<br />
dy<br />
h <br />
dx<br />
h<br />
2<br />
2!<br />
d<br />
needs to be derived analytically.<br />
2<br />
dx<br />
y<br />
2<br />
O(<br />
h<br />
3<br />
)<br />
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