example of divided difference interpolaton
To illustrate how one interpolates a function using divided differences, we will interpolate from the sines of , , , , and . To keep from having too many zeros in our numbers, we will actually interpolate instead.
We begin by making a divided difference table:
Reading off the top numbers from each column, we may form the following divided difference series:
Substituting for , we obtain as an approximate value for . When compared with the actual value of , this is a reasonable approximation —it is correct to .
|Title||example of divided difference interpolaton|
|Date of creation||2013-03-22 16:49:19|
|Last modified on||2013-03-22 16:49:19|
|Last modified by||rspuzio (6075)|