The given natural cubic spline S interpolates (1,1),(2,1),(3,0), determine bo.do.b₁.c1 and d₁. S(x)= ={ So(z)=1+bo(2-1)-do(x-1)³, 1

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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S(x) = {
i
0
1
So(x) = 1+bo(x-1)-do(x-1)³, 1<x<2,
S₁(x) = 1 + b₁(x-2)+c₁(x-2)2 +d₁(x-2)³, 2≤ x ≤3
b₂
The given natural cubic spline S interpolates
(1,1),(2,1),(3,0), determine bo.do.b1.c₁ and d₁.
C₁₂
di
**********
Transcribed Image Text:S(x) = { i 0 1 So(x) = 1+bo(x-1)-do(x-1)³, 1<x<2, S₁(x) = 1 + b₁(x-2)+c₁(x-2)2 +d₁(x-2)³, 2≤ x ≤3 b₂ The given natural cubic spline S interpolates (1,1),(2,1),(3,0), determine bo.do.b1.c₁ and d₁. C₁₂ di **********
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