EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 19, Problem 20P

Runge's function is written as

f ( x ) = 1 1 + 25 x 2

Generate 9 equidistantly spaced values of this function over the interval: [ 1 , 1 ] . Fit these data with

(a) An eighth-order polynomial,

(b) A Linear spline, and

(c) A Cubic spline

Present your results graphically.

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