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Complete the divided difference table for the data Xo = 1.0, x₁ = 1.2, x₂ = 1.4, x3 = 1.6, x4 = 1.8, x5 = 2.0 with f(x) = ln(3x). Then, construct the interpolating polynomial using Newton forward difference formula and approximate f(1.15). Does it agree with the exact value?

Complete the divided difference table for the data Xo = 1.0, x₁ = 1.2, x₂ = 1.4, x3 = 1.6, x4 = 1.8, x5 = 2.0 with f(x) = ln(3x). Then, construct the interpolating polynomial using Newton forward difference formula and approximate f(1.15). Does it agree with the exact value?

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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Complete the divided difference table for the data Xo = 1.0, x₁ = 1.2, x₂ 1.4, x3 = 1.6, x4 = 1.8, x5 = 2.0 with = f(x) = ln(3x). Then, construct the interpolating polynomial using Newton forward difference formula and approximate f(1.15). Does it agree with the exact value?
Transcribed Image Text:Complete the divided difference table for the data Xo = 1.0, x₁ = 1.2, x₂ 1.4, x3 = 1.6, x4 = 1.8, x5 = 2.0 with = f(x) = ln(3x). Then, construct the interpolating polynomial using Newton forward difference formula and approximate f(1.15). Does it agree with the exact value?
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