Numerical Method208010 marksNewton's Interpolation using divided differences, forward di
Define the terms interpolation and extrapolation. Write down the algorithm and program for Newton's divided difference interpolation.
Define the terms interpolation and extrapolation. Write down the algorithm and program for Newton's divided difference interpolation.[10]
Interpolation is the process of estimating the value of a function at a point that lies within the range of the given data points. That is, if we have data points $x0, x1, \ldots, xn$, interpolation finds $f(x)$ for some $x$ such that $x0 \leq x \leq xn$. Example: Given velocity at