Taylor Series Expansion
2016+Week4
2016+Week4
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Third Order <strong>Taylor</strong> <strong>Series</strong> Methods<br />
Given<br />
dy(<br />
x)<br />
dx<br />
<br />
( y,<br />
x),<br />
Third order <strong>Taylor</strong> <strong>Series</strong><br />
f<br />
y(<br />
x<br />
0<br />
) <br />
method<br />
y<br />
0<br />
y<br />
d<br />
i1<br />
2<br />
dx<br />
y<br />
2<br />
<br />
y<br />
i<br />
and<br />
dy<br />
h <br />
dx<br />
d<br />
3<br />
dx<br />
y<br />
3<br />
h<br />
2<br />
2!<br />
d<br />
2<br />
dx<br />
y<br />
2<br />
<br />
h<br />
3<br />
3!<br />
need to be derived analytically.<br />
d<br />
3<br />
dx<br />
y<br />
3<br />
O(<br />
h<br />
4<br />
)<br />
33
Change language