Find approximate the second de
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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![**Problem Statement:**
Find approximate the second derivative of the polynomial
\[ y(x) = (x - 2)^3 \]
using the central difference method with \( O(h^2) \) over the interval \(-1 \leq x \leq 4\) with \( h = 1 \). Then compare your numerical approximation with the analytical solution by computing the relative error at each value of \( x \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79826512-1148-4736-b4a7-6e7f4ec13f28%2F8144ba98-14d0-4f0d-877d-726afc48c71e%2Fkixi0r_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find approximate the second derivative of the polynomial
\[ y(x) = (x - 2)^3 \]
using the central difference method with \( O(h^2) \) over the interval \(-1 \leq x \leq 4\) with \( h = 1 \). Then compare your numerical approximation with the analytical solution by computing the relative error at each value of \( x \).
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