Examples
1. Find Missing terms in interpolation table
| x | f(x) |
| 2 | 45 |
| 3 | 49.2 |
| 4 | 54.1 |
| 5 | ? |
| 6 | 67.4 |
Solution:
The value of table for `x` and `y`
Here we are given 4 values of y. We assume that y is polynomial of degree 3.
Hence `Delta^4 y_0=0`
`(E-1)^4 y_0=0`
`(E^4-4E^3+6E^2-4E+1) y_0=0`
`y_4-4y_3+6y_2-4y_1+y_0=0`
`:.67.4-4(a)+6(54.1)-4(49.2)+45=0`
`:.-4a+240.2=0`
`:.-4a=-240.2`
`:.a=(-240.2)/(-4)`
`:.a=60.05`
This material is intended as a summary. Use your textbook for detail explanation.
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