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
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Chapter2: Second-order Linear Odes
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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.
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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