Construct a natural cubic spline to approximate f (x) = cos x by using the values given

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Construct a natural cubic spline to approximate f (x) = cos Ï€x by using the values given by f (x) at x = 0, 0.25, 0.5, 0.75, and 1.0. Integrate the spline over [0, 1], and compare the result to

0. Use the derivatives of the spline to approximate f'(0.5) and f'' (0.5). Compare these approximations to the actual values.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:38 AM

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Construct a natural cubic spline to approximate f (x) = cos x by using the values given

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la cos Tx dx =

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The equation of the spline is Sx S i x a i b i x x i c i x x i 2 d i x x i ...View the full answer

Numerical Analysis

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