Interpolación diferencias finitas

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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!

A3
USER: Ingrese los valores de X y Y conocidos
E20
USER: Ingrese el valor de x que quiere obtener

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