Gregory-Newton formulas backward

In this section, we will develop two interpolation methods for equally spaced data (I) the Gregory-Newton formulas, which are based on forward and backward differences, and (2) Stirling s interpolation formula, based on central differences. [Pg.168]

In a similar derivation, using backward differences, the Gregory-Newton backward interpolation formula is derived as... [Pg.171]

Derive the Gregory-Newton backward interpolation formula. [Pg.193]

Write a MATLAB function that uses the Gregory-Newton backward interpolation formula to evaluate the function f x) from a set of (n + I) equally spaced input values. Write the function in a general fashion so that n can be any positive integer. Also write a MATLAB script that reads the data and shows how this MATLAB function fits the data. Use the experimental data of Table 3.3 to verify the program, and evaluate the function atx= 10, 50,90,130, 170, and 190. [Pg.193]

These values give the best interpolation at t = 575°F rather than the Newton-Gregory s forward or backward interpolation formulae. [Pg.54]

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