This document provides an overview of numerical methods for interpolation with unequally spaced data. It discusses divided difference tables, Newton's divided difference formula, and Lagrange interpolation as techniques for finding unknown function values from data points that are not evenly spaced. An example divided difference table is given using the data points (1, -9), (2, -41), (4, -189), (7, 9), (8, 523).

1. NUMERICAL METHODS
Week 6

2. OBJECTIVE
• To learn how to find unknown function value from
unequally spaced data via interpolation technique

3. Divided Differences
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4. Divided Difference Table

5. Example
Form the divided difference table for the data
x : 1 2 4 7 8
f(x) : -9 -41 -189 9 523

6. Interpolation with Unequally Spaced Data
1. Newton’s Divided Difference Formula
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7. Interpolation with Unequally Spaced Data
1. Lagrange Interpolation
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8. •

9. END OF LECTURE