Derive the third-order Newton’s interpolating polynomial for the following data: xi 0 0.8 1.6 3 f(xi) 1 0.2019 0.04076 0.00248 Use this polynomial to estimate f at x = 1.2. Use at least 5 decimal places in your calculations.
Derive the third-order Newton’s interpolating polynomial for the following data: xi 0 0.8 1.6 3 f(xi) 1 0.2019 0.04076 0.00248 Use this polynomial to estimate f at x = 1.2. Use at least 5 decimal places in your calculations.
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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Derive the third-order Newton’s interpolating polynomial for the following data:
| xi | 0 | 0.8 | 1.6 | 3 |
| f(xi) | 1 | 0.2019 | 0.04076 | 0.00248 |
Use this polynomial to estimate f at x = 1.2. Use at least 5 decimal places in your calculations.
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