Project4 - ( , ), 0,1,. ..,6 i i v D i = and the Newton...

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EGN 3420 Project 4 – Newton Divided Difference Interpolation Sp 07 The following table contains vehicle stopping distances as a function of speed. i i v (mph) i D (ft) 0 0 0 1 25 58 2 35 92 3 45 145 4 55 213 5 65 290 6 75 400 a) Use MATLAB to fit a 6 th order Newton Divided Difference Interpolating Polynomial through the data points, i.e. 6 0 1 0 2 0 1 6 0 1 5 ( ) ( - ) ( - )( - ) . ... ( - )( - )( - ) D v b b v v b v v v v b v v v v v v = + + + + The program must calculate and output all of the finite differences, i.e. 0 1 0 2 1 6 5 4 3 2 1 0 ( ), [ , ], [ , ],. ..... , [ , , , , , , ] f v f v v f v v f v v v v v v v and label those which are equal to the coefficients 0 1 6 , ,. .., . b b b b) Plot the data points
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Unformatted text preview: ( , ), 0,1,. ..,6 i i v D i = and the Newton Divided Difference Interpolating Polynomial on the same graph. c) Use the results to interpolate the stopping distances for the speeds in the table below. v (mph) Estimate of D (ft) 10 20 30 40 50 60 70 d) Estimate the error in the interpolated stopping distance from a speed of 60 mph by including the additional data point (80,464) to obtain the 7 th order polynomial 7 ( ). D v Use 7 6 (60) (60) D D-as the estimated error....
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This note was uploaded on 06/09/2011 for the course EGM 4320 taught by Professor Klee during the Spring '11 term at University of Central Florida.

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Project4 - ( , ), 0,1,. ..,6 i i v D i = and the Newton...

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