Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
Metode Numerik 2 - Universitas Indonesia
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Quadrature Gauss-Laguerre<br />
Quadrature Gauss-Laguerre menggunakan polinomial Laguerre L :<br />
1<br />
-x<br />
O n = Ln<br />
: e On<br />
(x)Om(x)<br />
dx = δnm<br />
n!<br />
-x<br />
dipakai untuk integral berbentuk: e f(x)dx = ∑wif(x<br />
i)<br />
∞<br />
∫<br />
0<br />
∞<br />
N<br />
∫<br />
0<br />
i=<br />
1<br />
Contoh dan quadrature Gauss-Laguerre untuk beberapa N:<br />
w<br />
N<br />
2<br />
4<br />
xi i<br />
x<br />
0.585786437626905<br />
3.414213562373095<br />
0.322547689619392<br />
1.745761101158347<br />
4.536620296921128<br />
9.395070912301133<br />
w<br />
0.853553390593274<br />
0.146446609406726<br />
0.603154104341634<br />
0.357418692437800<br />
0.038887908515005<br />
0.000539294705561<br />
n<br />
99