06.12.2016 Views

Taylor Series Expansion

2016+Week4

2016+Week4

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

27<br />

Example 1<br />

0.01<br />

4,<br />

1,<br />

,<br />

1<br />

)<br />

,<br />

( 0<br />

0<br />

2<br />

<br />

<br />

<br />

<br />

<br />

h<br />

y<br />

x<br />

x<br />

y<br />

x<br />

f<br />

<br />

<br />

<br />

<br />

<br />

<br />

9394<br />

3.<br />

1.02<br />

0.011<br />

3.9598<br />

)<br />

,<br />

(<br />

3:<br />

3.9598<br />

1.01<br />

0.011<br />

3.98<br />

)<br />

,<br />

(<br />

2 :<br />

3.98<br />

)<br />

(1)<br />

0.01(1<br />

4<br />

)<br />

,<br />

(<br />

1:<br />

)<br />

,<br />

(<br />

Method<br />

Euler<br />

2<br />

2<br />

2<br />

2<br />

3<br />

2<br />

1<br />

1<br />

1<br />

2<br />

2<br />

0<br />

0<br />

0<br />

1<br />

1<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

y<br />

x<br />

f<br />

h<br />

y<br />

y<br />

Step<br />

y<br />

x<br />

f<br />

h<br />

y<br />

y<br />

Step<br />

y<br />

x<br />

f<br />

h<br />

y<br />

y<br />

Step<br />

y<br />

x<br />

f<br />

h<br />

y<br />

y<br />

i<br />

i<br />

i<br />

i

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!