Derivation of Newton's Forward Difference Formula for Function Interpolation & Excel Implementation
Newton's Forward Difference formula for function interpolation can be derived from the Newton polynomial expansion and divided differences. In the case where there are n+1 equally spaced nodes x0, x1, x2, ..., xn ordered from least to greatest with step size n, we can ultimately write Newton's Forward Difference formula using generalized binomial coefficients and powers of the forward difference operator Δ (delta). Newton's Forward Difference formula can then be implemented in a spreadsheet like Excel. 🔴 Burden, Faires, Burden "Numerical Analysis": https://amzn.to/3DBvCWn
Numerical Analysis, Class 15B
#NumericalAnalysis #NumericalMethods #interpolation #FunctionInterpolation #newton
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