17.05.2015 Views

Numerical Integration Over Polygonal Domains using Convex ... - Ijecs

Numerical Integration Over Polygonal Domains using Convex ... - Ijecs

Numerical Integration Over Polygonal Domains using Convex ... - Ijecs

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.

3* 20^2*12^2 0.71828182821718<br />

3* 20^2*13^2 0.71828182825303<br />

3* 20^2*14^2 0.71828182828132<br />

3* 20^2*15^2 0.71828182830426<br />

3* 20^2*16^2 0.71828182832298<br />

3* 20^2*17^2 0.71828182833842<br />

3* 20^2*18^2 0.71828182835157<br />

3* 20^2*19^2 0.71828182836269<br />

3* 20^2*20^2 0.71828182837216<br />

3*21^2*20^2 0.71828182838000<br />

3*21^2*21^2 0.71828182838723<br />

3*21^2*22^2 0.71828182839376<br />

3*22^2*22^2 0.71828182839963<br />

3*23^2*22^2 0.71828182840479<br />

3*23^2*22^2 0.71828182840923<br />

________________________________<br />

Table-I I-f COMPUTED VALUES OF INTEGRAL I 6<br />

(GLQ=GAUSS LEGENDRE QUADRATURE,ng=ORDER OF RULE)<br />

Gauss<br />

Order NUMBER OF SPECIAL QUADRILATERALS (4*3*n^2 )<br />

_______________________________________________________________________________________<br />

______________________________________<br />

GLQ 4* 3*1^2 4* 3*2^2 4*3*3^2 4* 3*4^2 4*3*5^2<br />

4* 3*6^2 4*3*7^2<br />

ng (n=1) (n=2) (n=3) (n=4) (n=5)<br />

(n=6)<br />

(n=7)<br />

_______________________________________________________________________________________<br />

____________________________________<br />

5 0.30842513715380 0.30842513753309 0.30842513753402 0.30842513753404<br />

0.30842513753404 0.30842513753404 0.30842513753404<br />

10 0.30842513753404 0.30842513753404 0.30842513753404 0.30842513753404<br />

0.30842513753404 0.30842513753404 0.30842513753404<br />

15 0.30842513753404 0.30842513753404 0.30842513753404 0.30842513753404<br />

0.30842513753404 0.30842513753404 0.30842513753404<br />

20 0.30842513753404 0.30842513753404 0.30842513753404 0.30842513753404<br />

0.30842513753404 0.30842513753404 0.30842513753404<br />

25 0.30842513753404 0.30842513753404 0.30842513753404 0.30842513753404<br />

0.30842513753404 0.30842513753404 0.30842513753404<br />

30 0.30842513753404 0.30842513753404 0.30842513753404 0.30842513753404<br />

0.30842513753404 0.30842513753404 0.30842513753404<br />

35 0.30842513753404 0.30842513753404 0.30842513753404 0.30842513753404<br />

0.30842513753404 0.30842513753404 0.30842513753404<br />

40 0.30842513753404 0.30842513753404 0.30842513753404 0.30842513753404<br />

0.30842513753404 0.30842513753404 0.30842513753404<br />

_______________________________________________________________________________________<br />

____________________________________<br />

RULE)<br />

Table-I I-g COMPUTED VALUES OF INTEGRAL I<br />

7<br />

(GLQ=GAUSS LEGENDRE QUADRATURE,ng=ORDER OF<br />

H. T. Rathod a IJECS Volume 2 Issue 8 August, 2013 Page No.2576-2610 Page 2595

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

Saved successfully!

Ooh no, something went wrong!