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For a function /, the Newton divided-difference formula gives the interpolating

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 14 Chapter 3.3

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 14

For a function /, the Newton divided-difference formula gives the interpolating polynomial P3(x) = 1 + 4x + 4x(x - 0.25) + yxU - 0.25)(x - 0.5), on the nodes xq = 0, x, = 0.25, X2 = 0.5 and xj = 0.75. Find /(0.75)

Step-by-Step Solution:

Step 1 of 2

For a function f, the Newton divided difference formula gives the interpolating polynomial

To find .

The constant term is 1. Therefore,

Now, let us take . It gives,

The coefficient of is 4. Then,

Proceeding in this manner,

Step 2 of 2

Chapter 3.3, Problem 14 is Solved
Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

Since the solution to 14 from 3.3 chapter was answered, more than 245 students have viewed the full step-by-step answer. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. The answer to “For a function /, the Newton divided-difference formula gives the interpolating polynomial P3(x) = 1 + 4x + 4x(x - 0.25) + yxU - 0.25)(x - 0.5), on the nodes xq = 0, x, = 0.25, X2 = 0.5 and xj = 0.75. Find /(0.75)” is broken down into a number of easy to follow steps, and 45 words. The full step-by-step solution to problem: 14 from chapter: 3.3 was answered by , our top Math solution expert on 03/16/18, 03:24PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10.

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For a function /, the Newton divided-difference formula gives the interpolating