Runge's function is written as f (x) = 1 1+ 25x² Generate five equidistantly spaced values of this function over the interval: [-1, 1]. Fit these data with (a) a fourth-order polynomial, (b) a linear spline, and (c) a quadratic spline. Present your results graphically.
Runge's function is written as f (x) = 1 1+ 25x² Generate five equidistantly spaced values of this function over the interval: [-1, 1]. Fit these data with (a) a fourth-order polynomial, (b) a linear spline, and (c) a quadratic spline. Present your results graphically.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Runge's function is written as
f (x) =
1
1+ 25x²
Generate five equidistantly spaced values of this function over the interval: [-1, 1]. Fit these
data with (a) a fourth-order polynomial, (b) a linear spline, and (c) a quadratic spline. Present
your results graphically.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdad64e64-bab8-4c8e-9af1-b3316be12760%2F55c7204c-cb61-4a2a-b86a-66385deed9de%2Fc0w5ml9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Runge's function is written as
f (x) =
1
1+ 25x²
Generate five equidistantly spaced values of this function over the interval: [-1, 1]. Fit these
data with (a) a fourth-order polynomial, (b) a linear spline, and (c) a quadratic spline. Present
your results graphically.
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