What is the additional condition for a cubic-spline S(x) that passes through n datapoints (x1, Y1), (x2, Y2), .. , (xn, Yn) to be natural?Os" (x1) = 0 and S" (xn) = 0S (x2) = 0 amd S" (xn-1) = 0OS' (x1) = 0 and S'(xn) = 0O (x1) = 0 and S(xn) = 0

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Answered: What is the additional condition for a…

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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What is the additional condition for a cubic-spline S(x) that passes through n data points (x1, Y1), (x2, Y2), .. , (xn, Yn) to be natural? Os" (x1) = 0 and S" (æn) = 0 S (x2) = 0 amd S" (xn-1) = 0 OS'(x1) = 0 and S'(xm) = 0 O (x1) = 0 and S(xn) = 0