interpolación diferencias finitas
DESCRIPTION
PostensadoTRANSCRIPT
Datos conocidos Valores de Y(X)a encontrarX Y1 X Y 0 0.20 0 0 0.200
7 -0.20 5 -0.10 1 0.26315789 0.18415 0.20 2 0.52631579 0.16820 -0.10 3 0.78947368 0.153
4 1.05263158 0.1375 1.31578947 0.1216 1.57894737 0.1057 1.84210526 0.0898 2.10526316 0.0749 2.36842105 0.058
10 2.63157895 0.04211 2.89473684 0.02612 3.15789474 0.01113 3.42105263 -0.00514 3.68421053 -0.02115 3.94736842 -0.03716 4.21052632 -0.05317 4.47368421 -0.06818 4.73684211 -0.08419 5 -0.100
0 1 2 3 4 5 6
-0.150-0.100-0.0500.0000.0500.1000.1500.2000.250
Pol
n 20T 1 t X eiΔx 0.263 1 0.000 0.200Longitud 5 -0.060000
2 0.263 0.184-0.060
3 0.526 0.168-0.060
4 0.789 0.153-0.060
5 1.053 0.137-0.060
6 1.316 0.121-0.060
7 1.579 0.105-0.060
8 1.842 0.089-0.060
9 2.105 0.074-0.060
10 2.368 0.058-0.060
11 2.632 0.042-0.060
12 2.895 0.026-0.060
13 3.158 0.011-0.060
14 3.421 -0.005-0.060
15 3.684 -0.021-0.060
16 3.947 -0.037-0.060
17 4.211 -0.053-0.060
18 4.474 -0.068-0.060
19 4.737 -0.084-0.0600000
20 5.000 -0.100
θi+1/2
Pi Qi+1/2 M i-0.060000 0.200
-0.0600.000 0.184
-0.0600.000 0.168
-0.0600.000 0.153
-0.0600.000 0.137
-0.0600.000 0.121
-0.0600.000 0.105
-0.0600.000 0.089
-0.0600.000 0.074
-0.0600.000 0.058
-0.0600.000 0.042
-0.0600.000 0.026
-0.0600.000 0.011
-0.0600.000 -0.005
-0.0600.000 -0.021
-0.0600.000 -0.037
-0.0600.000 -0.053
-0.0600.000 -0.068
-0.0600.000 -0.084
-0.0600.0600000 -0.100
0.000-0.001
0.000000000
0.000 00.000 -1.09909E-19
X Y10 0.205 -0.10 -0.060 0.00 -0.02 #DIV/0!0 0.00 #DIV/0! #DIV/0! #DIV/0!0 0.00 #DIV/0! #DIV/0! #DIV/0! ###0 0.00 #DIV/0! #DIV/0! #DIV/0! ### ###0 0.00 #DIV/0! #DIV/0! #DIV/0! ### ### ###0 0.00 #DIV/0! #DIV/0! #DIV/0! ### ### ######0 0.00 #DIV/0! #DIV/0! #DIV/0! ### ### ###### ###0 0.00 #DIV/0! #DIV/0! #DIV/0! ### ### ###### ### ###0 0.00 #DIV/0! #DIV/0! #DIV/0! ### ### ###### ### ### ###0 0.00 #DIV/0! #DIV/0! #DIV/0! ### ### ###### ### ### ###0 0.00 #DIV/0! #DIV/0! #DIV/0! ### ### ###### ### ### ###
a0 a1 a2 a3 a4 a5 a6 a7 a8 a9 a10
Pn(x)=a0+a1(X-X0)+a2(X-X0)(X-X1)+…+an(X-X0)(X-X1)…(X-Xn-1)
a0 0.20a1 -0.06a2 #DIV/0!a3 #DIV/0!a4 #DIV/0!a5 #DIV/0!a6 #DIV/0!a7 #DIV/0!a8 #DIV/0!a9 #DIV/0!a10 #DIV/0!a11 #DIV/0!a12 #DIV/0! 13
#DIV/0!
X Y X Y X Y X Y X Y1 1 1.00 0 0.20 0.26 0.20 1 0.20 0.79 0.20 1.05###2 2 1.00 0 0.20 0.26 0.18 1 0.17 0.79 0.15 1.05###0 3 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No0 4 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No0 5 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No0 6 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No0 7 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No0 8 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No0 9 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No0 10 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No0 11 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No
### 0 12 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No### ### 0 13 0.00 0 No 0.26 No 1 No 0.79 No 1.05 No
a11 a12
X Y X Y X Y X Y X Y X Y X Y X1 ### 1.58 0.20 2 0.20 2.1 0.20 2.368 0.20 2.6 0.20 2.9### 31 ### 1.58 0.11 2 0.09 2.1 0.07 2.368 0.06 2.6 0.04 2.9### 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 31 No 1.58 No 2 No 2.1 No 2.368 No 2.6 No 2.9 No 3
Y X Y X Y X Y X0.20 3.42 0.20 3.68 0.20 3.94736842 0.20 4.210526320.01 3.42 -0.01 3.68 -0.02 3.94736842 -0.04 4.21052632
No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632No 3.42 No 3.68 No 3.94736842 No 4.21052632
Y X Y X Y0.20 4.47368421 0.20 4.73684211 0.20
-0.05 4.47368421 -0.07 4.73684211 -0.08No 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 NoNo 4.47368421 No 4.73684211 No
X Y5 0.205 -0.105 No5 No5 No5 No5 No5 No5 No5 No5 No5 No5 No