MATLAB question about Runge's function is attached. Runge's function is written as1f (x) =1 + 25x?2iObtain equidistant points between x =[-1,1] as xi =1; i e {0,1,2,..., n}. Plot Lagrangeinterpolation 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.

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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Question

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.

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