Problem

Develop a plot of a cubic spline fit of the following data with (a) natural end conditions...

Develop a plot of a cubic spline fit of the following data with (a) natural end conditions and (b) not-a-knot end conditions. In addition, develop a plot using (c) piecewise cubic Hermite interpolation.

x

0

100

200

400

f(x)

0

0.82436

1.00000

0.73576

x

600

800

1000

 

f(x)

0.40601

0.19915

0.09158

 

In each case, compare your plot with the following equation which was used to generate the data:

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Solutions For Problems in Chapter 16