Topic 12.1: Centred Divided-Difference Formulae

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Given three equally-spaced points, we can find an interpolating polynomial passing through those points, find the derivative, and evaluate the derivative at the midpoint to get a good approximation of the derivative at the midpoint.

Background

Useful background for this topic includes:

References

Interactive Maplet

A Differentiation Formula Generator

To generate a centred divided-difference formula, keep the points centred around x, for example, f(x - 3*h) to f(x + 3*h).

Interactive Maplet

A Differentiation Formula Generator

To generate centred divided-difference formula, keep the points centred around x, for example, f(x - 3*h) to f(x + 3*h).

Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.