Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
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N = 2:<br />
2<br />
1<br />
2<br />
1<br />
1<br />
2<br />
1<br />
2<br />
1<br />
1<br />
2<br />
0<br />
x<br />
x<br />
)<br />
f(x<br />
)<br />
f(x<br />
a<br />
x<br />
x<br />
)<br />
f(x<br />
x<br />
)<br />
f(x<br />
x<br />
a<br />
−<br />
−<br />
=<br />
−<br />
−<br />
−<br />
=<br />
)<br />
f(x<br />
x<br />
a<br />
a<br />
)<br />
p(x<br />
)<br />
f(x<br />
x<br />
a<br />
a<br />
)<br />
p(x<br />
2<br />
2<br />
1<br />
0<br />
2<br />
1<br />
1<br />
1<br />
0<br />
1<br />
=<br />
+<br />
=<br />
=<br />
+<br />
=<br />
)<br />
f(x<br />
x<br />
x<br />
x<br />
x<br />
)<br />
f(x<br />
x<br />
x<br />
x<br />
x<br />
p(x) 2<br />
1<br />
2<br />
1<br />
1<br />
2<br />
1<br />
2<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
+<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
=<br />
N = 3:<br />
)<br />
f(x<br />
x<br />
a<br />
x<br />
a<br />
a<br />
)<br />
p(x<br />
)<br />
f(x<br />
x<br />
a<br />
x<br />
a<br />
a<br />
)<br />
p(x<br />
)<br />
f(x<br />
x<br />
a<br />
x<br />
a<br />
a<br />
)<br />
p(x<br />
3<br />
2<br />
3<br />
2<br />
3<br />
1<br />
0<br />
3<br />
2<br />
2<br />
2<br />
2<br />
2<br />
1<br />
0<br />
2<br />
1<br />
2<br />
1<br />
2<br />
1<br />
1<br />
0<br />
1<br />
=<br />
+<br />
+<br />
=<br />
=<br />
+<br />
+<br />
=<br />
=<br />
+<br />
+<br />
=<br />
2<br />
3<br />
2<br />
1<br />
2<br />
2<br />
1<br />
3<br />
2<br />
1<br />
3<br />
2<br />
3<br />
2<br />
1<br />
2<br />
1<br />
3<br />
1<br />
3<br />
2<br />
2<br />
2<br />
3<br />
2<br />
1<br />
2<br />
2<br />
1<br />
3<br />
2<br />
1<br />
3<br />
2<br />
3<br />
2<br />
2<br />
2<br />
1<br />
2<br />
2<br />
1<br />
2<br />
3<br />
1<br />
2<br />
3<br />
2<br />
2<br />
1<br />
2<br />
3<br />
2<br />
1<br />
2<br />
2<br />
1<br />
3<br />
2<br />
1<br />
3<br />
2<br />
3<br />
2<br />
1<br />
2<br />
1<br />
2<br />
1<br />
3<br />
1<br />
3<br />
1<br />
3<br />
2<br />
3<br />
2<br />
0<br />
)x<br />
x<br />
(x<br />
)x<br />
x<br />
(x<br />
)x<br />
x<br />
(x<br />
)<br />
)f(x<br />
x<br />
(x<br />
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)f(x<br />
x<br />
(x<br />
)<br />
)f(x<br />
x<br />
(x<br />
a<br />
)x<br />
x<br />
(x<br />
)x<br />
x<br />
(x<br />
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x<br />
(x<br />
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)f(x<br />
x<br />
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)f(x<br />
x<br />
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)f(x<br />
x<br />
(x<br />
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x<br />
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x<br />
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f(x<br />
x<br />
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x<br />
(x<br />
)<br />
f(x<br />
x<br />
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x<br />
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f(x<br />
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x<br />
(x<br />
a<br />
−<br />
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+<br />
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−<br />
+<br />
−<br />
+<br />
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=<br />
−<br />
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+<br />
−<br />
−<br />
+<br />
−<br />
+<br />
−<br />
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)<br />
f(x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
)<br />
f(x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
)<br />
f(x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
x<br />
p(x) 3<br />
2<br />
3<br />
2<br />
1<br />
3<br />
1<br />
2<br />
3<br />
2<br />
3<br />
1<br />
2<br />
1<br />
1<br />
3<br />
1<br />
3<br />
2<br />
1<br />
2<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
+<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
+<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
⎟<br />
⎟<br />
⎠<br />
⎞<br />
⎜<br />
⎜<br />
⎝<br />
⎛<br />
−<br />
−<br />
=<br />
61