If f′(0)=f′(2), find the difference c-2d for the following cubic spline S(x) with clamped boundary conditions: S(x)={S0(x)=3x+2x3, 0≤x≤1,S1(x)=a1+b1(x−1)+c(x−1)2+d(x−1)3, 1≤x≤2.
If f′(0)=f′(2), find the difference c-2d for the following cubic spline S(x) with clamped boundary conditions: S(x)={S0(x)=3x+2x3, 0≤x≤1,S1(x)=a1+b1(x−1)+c(x−1)2+d(x−1)3, 1≤x≤2.
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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If f′(0)=f′(2), find the difference c-2d for the following cubic spline S(x) with clamped boundary conditions:
S(x)={S0(x)=3x+2x3, 0≤x≤1,S1(x)=a1+b1(x−1)+c(x−1)2+d(x−1)3, 1≤x≤2.
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