Question

Difference between w newton forward and backward interpolation and langrange's interpolution

Answer 1

interpellation is the technique of estimating the value of a function for any intermediate value of the independent variable while the process of computing the value of the function outside the given range called extrapolation.

Forward Difference: the differences Y1-yo,y2-y1,y3-y2,........,yn-yn-1 when denoted by dyo,dy1,dy2,......,dyn-1 are respectively called the first forward differences does the forward differences are yr=yr+1-yr