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