Runge's function is written as 1 f (x) = 1+ 25x² 2i Obtain equidistant points between x = [-1,1] as xị =- 1; i e {0,1,2, ... ,n}. Plot Lagrange interpolation function for n = 4,10, 16. Plot the function and interpolation functions in same graph. Consider about results.
Runge's function is written as 1 f (x) = 1+ 25x² 2i Obtain equidistant points between x = [-1,1] as xị =- 1; i e {0,1,2, ... ,n}. Plot Lagrange interpolation function for n = 4,10, 16. Plot the function and interpolation functions in same graph. Consider about results.
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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MATLAB question about Runge's function is attached.
![Runge's function is written as
1
f (x) =
1 + 25x?
2i
Obtain equidistant points between x =
[-1,1] as xi =
1; i e {0,1,2,
..., n}. Plot Lagrange
interpolation function for n = 4, 10, 16. Plot the function and interpolation functions in same graph.
Consider about results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6579d027-3565-400d-b9cd-19ae8253b626%2Fc5a6a479-38c1-4b9f-9e45-252f58c12c99%2Fxgh0vnf_processed.png&w=3840&q=75)
Transcribed Image Text:Runge's function is written as
1
f (x) =
1 + 25x?
2i
Obtain equidistant points between x =
[-1,1] as xi =
1; i e {0,1,2,
..., n}. Plot Lagrange
interpolation function for n = 4, 10, 16. Plot the function and interpolation functions in same graph.
Consider about results.
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