Interpolación diferencias finitas
description
Transcript of Interpolación diferencias finitas
Datos conocidos ResultadosT 1 t V0 0.054062 tΔx 0.316 m N0 1 tLongitud 6 m M0 0.083 tm
qT -0.0091 t/m
Datos conocidos Vf -0.0004455 tX Y1 NF -1 t0 0.083 MF 0.000 tm2 0.115
2.8 0.0926 0.000
0 1 2 3 4 5 6 70.0000.0200.0400.0600.0800.1000.1200.140
Pol
n 20Valores de Y(X)a encontrart X ei PiX Y 1 0.000 0.083 0.054062
0 0 0.083 0.0540621 0.31578947 0.100 2 0.316 0.100 -0.0172 0.63157895 0.112 0.0373 0.94736842 0.119 3 0.632 0.112 -0.0154 1.26315789 0.122 0.0235 1.57894737 0.121 4 0.947 0.119 -0.0136 1.89473684 0.117 0.0097 2.21052632 0.110 5 1.263 0.122 -0.0128 2.52631579 0.101 -0.0039 2.84210526 0.090 6 1.579 0.121 -0.010
10 3.15789474 0.079 -0.01311 3.47368421 0.066 7 1.895 0.117 -0.00912 3.78947368 0.053 -0.02113 4.10526316 0.041 8 2.211 0.110 -0.00714 4.42105263 0.029 -0.02815 4.73684211 0.018 9 2.526 0.101 -0.00516 5.05263158 0.010 -0.03417 5.36842105 0.004 10 2.842 0.090 -0.00418 5.68421053 0.000 -0.03819 6 0.000 11 3.158 0.079 -0.002
-0.04012 3.474 0.066 -0.001
-0.04113 3.789 0.053 0.001
-0.04014 4.105 0.041 0.003
-0.03715 4.421 0.029 0.004
-0.03316 4.737 0.018 0.006
-0.02717 5.053 0.010 0.007
-0.02018 5.368 0.004 0.009
-0.01119 5.684 0.000 0.011
-0.000445520 6.000 0.000 0.0004455
0.000
-0.026080153
θi+1/2
0.017
Qi+1/2 M i0.083
0.0540.100
0.0370.112
0.0230.119
0.0090.122
-0.0030.121
-0.0130.117
-0.0210.110
-0.0280.101
-0.0340.090
-0.0380.079
-0.0400.066
-0.0410.053
-0.0400.041
-0.0370.029
-0.0330.018
-0.0270.010
-0.0200.004
-0.0110.000
0.0000.000
0
X Y10 0.082 0.12 0.02
2.8 0.09 -0.03 -0.026 0.00 -0.03 0.00 0.000 0.00 0.00 -0.01 0.01 ###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 0.08a1 0.02a2 -0.02a3 0.00a4 #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 0.08 0.32 0.08 1 0.08 0.95 0.08 1.26###2 2 1.00 0 0.08 0.32 0.09 1 0.09 0.95 0.10 1.26###3 3 1.00 0 0.08 0.32 0.10 1 0.11 0.95 0.11 1.26###4 4 1.00 0 0.08 0.32 0.10 1 0.11 0.95 0.12 1.26###0 5 0.00 0 No 0.32 No 1 No 0.95 No 1.26 No0 6 0.00 0 No 0.32 No 1 No 0.95 No 1.26 No0 7 0.00 0 No 0.32 No 1 No 0.95 No 1.26 No0 8 0.00 0 No 0.32 No 1 No 0.95 No 1.26 No0 9 0.00 0 No 0.32 No 1 No 0.95 No 1.26 No0 10 0.00 0 No 0.32 No 1 No 0.95 No 1.26 No0 11 0.00 0 No 0.32 No 1 No 0.95 No 1.26 No
### 0 12 0.00 0 No 0.32 No 1 No 0.95 No 1.26 No### ### 0 13 0.00 0 No 0.32 No 1 No 0.95 No 1.26 No
a11 a12
X Y X Y X Y X Y X Y X Y X Y X2 ### 1.89 0.08 2 0.08 2.5 0.08 2.842 0.08 3.2 0.08 3.5### 42 ### 1.89 0.11 2 0.12 2.5 0.12 2.842 0.13 3.2 0.13 3.5### 42 ### 1.89 0.12 2 0.11 2.5 0.10 2.842 0.09 3.2 0.08 3.5### 42 ### 1.89 0.12 2 0.11 2.5 0.10 2.842 0.09 3.2 0.08 3.5### 42 No 1.89 No 2 No 2.5 No 2.842 No 3.2 No 3.5 No 42 No 1.89 No 2 No 2.5 No 2.842 No 3.2 No 3.5 No 42 No 1.89 No 2 No 2.5 No 2.842 No 3.2 No 3.5 No 42 No 1.89 No 2 No 2.5 No 2.842 No 3.2 No 3.5 No 42 No 1.89 No 2 No 2.5 No 2.842 No 3.2 No 3.5 No 42 No 1.89 No 2 No 2.5 No 2.842 No 3.2 No 3.5 No 42 No 1.89 No 2 No 2.5 No 2.842 No 3.2 No 3.5 No 42 No 1.89 No 2 No 2.5 No 2.842 No 3.2 No 3.5 No 42 No 1.89 No 2 No 2.5 No 2.842 No 3.2 No 3.5 No 4
Y X Y X Y X Y X0.08 4.11 0.08 4.42 0.08 4.73684211 0.08 5.052631580.14 4.11 0.15 4.42 0.15 4.73684211 0.16 5.052631580.04 4.11 0.01 4.42 -0.02 4.73684211 -0.05 5.052631580.05 4.11 0.04 4.42 0.03 4.73684211 0.02 5.05263158
No 4.11 No 4.42 No 4.73684211 No 5.05263158No 4.11 No 4.42 No 4.73684211 No 5.05263158No 4.11 No 4.42 No 4.73684211 No 5.05263158No 4.11 No 4.42 No 4.73684211 No 5.05263158No 4.11 No 4.42 No 4.73684211 No 5.05263158No 4.11 No 4.42 No 4.73684211 No 5.05263158No 4.11 No 4.42 No 4.73684211 No 5.05263158No 4.11 No 4.42 No 4.73684211 No 5.05263158No 4.11 No 4.42 No 4.73684211 No 5.05263158
Y X Y X Y0.08 5.36842105 0.08 5.68421053 0.080.16 5.36842105 0.17 5.68421053 0.17
-0.08 5.36842105 -0.12 5.68421053 -0.160.01 5.36842105 0.00 5.68421053 0.00
No 5.36842105 No 5.68421053 NoNo 5.36842105 No 5.68421053 NoNo 5.36842105 No 5.68421053 NoNo 5.36842105 No 5.68421053 NoNo 5.36842105 No 5.68421053 NoNo 5.36842105 No 5.68421053 NoNo 5.36842105 No 5.68421053 NoNo 5.36842105 No 5.68421053 NoNo 5.36842105 No 5.68421053 No
X Y6 0.086 0.186 -0.206 0.006 No6 No6 No6 No6 No6 No6 No6 No6 No