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a) Find the degree-2 interpolating polynomial via Newton's divided difference for using nodes x = 0, x₁ = 1, and x₂ = 2. f(x) X 1+x b) What are the degree-2 interpolating polynomials associated with Lagrange's con- struction and Neville's construction? Compare them to the solution of Part (a).

a) Find the degree-2 interpolating polynomial via Newton's divided difference for using nodes x = 0, x₁ = 1, and x₂ = 2. f(x) X 1+x b) What are the degree-2 interpolating polynomials associated with Lagrange's con- struction and Neville's construction? Compare them to the solution of Part (a).

Advanced Engineering Mathematics
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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a) Find the degree-2 interpolating polynomial via Newton's divided difference for f(x) = using nodes x = 0, x₁ = 1, and x₂ = 2. X 1+x b) What are the degree-2 interpolating polynomials associated with Lagrange's con- struction and Neville's construction? Compare them to the solution of Part (a).
Transcribed Image Text:a) Find the degree-2 interpolating polynomial via Newton's divided difference for f(x) = using nodes x = 0, x₁ = 1, and x₂ = 2. X 1+x b) What are the degree-2 interpolating polynomials associated with Lagrange's con- struction and Neville's construction? Compare them to the solution of Part (a).
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