f(x) = x¹/2
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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![3. Write a numerical code for adaptive approximation (use linear and quadratic Lagrange
interpolating polynomials). Compute the approximation to f(x) = r/2 in [0, 1] accurate to
within e = 0.00005 and a = 5.0 x 10-8. Compare the computational time of this algorithm with
the computational time of piecewise linear approximation for e =
0.00005.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca1184ef-5704-4315-bdec-869019220674%2Fe1a45202-b9ab-4493-b2b5-af1ce8f75b50%2Fnicc89_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Write a numerical code for adaptive approximation (use linear and quadratic Lagrange
interpolating polynomials). Compute the approximation to f(x) = r/2 in [0, 1] accurate to
within e = 0.00005 and a = 5.0 x 10-8. Compare the computational time of this algorithm with
the computational time of piecewise linear approximation for e =
0.00005.
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