23.05.2018 · Newton’s divided difference interpolation formula is a interpolation technique used when the interval difference is not same for all sequence of …
05.02.1 Chapter 05.03 Newton’s Divided Difference Interpolation After reading this chapter, you should be able to: 1. derive Newton’s divided difference method of interpolation, 2. apply Newton’s divided difference method of interpolation, and 3. apply Newton’s divided difference method interpolants to find derivatives and integrals. What is interpolation?
The general form of the Newton's divided difference polynomial for data points is given as where n is the order of the polynomial that approximates the function and, where the definition of divided difference is The examples that follow illustrate the method in a descriptive manner.
The Newton's Divided Difference Polynomial method of interpolation (for detailed explanation, you can read the textbook notes and examples, and see a Power Point Presentation) is based on the following. The general form of the Newton's divided difference polynomial for …
Newton’s Divided Difference Interpolation 05.03.3 Figure 2 Linear interpolation. Example 1 The upward velocity of a rocket is given as a function of time in Table 1 (Figure 3).