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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text: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" (xn) = 0
S (x2) = 0 amd S" (xn-1) = 0
OS' (x1) = 0 and S'(xn) = 0
O (x1) = 0 and S(xn) = 0
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