Curve fitting using Newton divide-difference interpolation method on MATLAB

Newton's divided difference interpolation method is a numerical technique for finding a polynomial function that passes through a given set of data points. The polynomial function can be used to approximate the behavior of a given function or to interpolate data values between the given points.
The method involves constructing a set of divided differences based on the given data points. Divided differences are defined recursively in terms of lower-order differences until a table of all divided differences is generated. The coefficients of the polynomial function are then determined from the first row of the table. The source detail and the source code is described on: