Mathematics, Numerical Analysis, Numerical Methods, Numerical Computation, Numerical Reasoning.
Newton’s Backward Difference Interpolation: The divided differences are calculated reversely in the backward difference interpolation. The first divided differences are given by: Δyᵢ = yᵢ — yᵢ₋₁, for i = 1 to n-1 The second divided differences are calculated as: Δ²yᵢ = Δyᵢ — Δyᵢ₋₁, for i = 2 to n-1