Newton’s divided difference interpolation formula is used when the values of the independent variable are unequally spaced.

Newton’s divided difference interpolation formula is used when the values of the independent variable are unequally spaced.

This method is effective for cases where the data points (the independent variable values) do not have a uniform interval between them. It constructs an interpolating polynomial based on divided differences, making it more versatile compared to other methods like Newton’s forward or backward interpolation formulas, which are suited for equally spaced data points.
unequally spaced