Newton Backward interpolation

Newton Backward interpolation

Code for Newton Backward interpolation

::::: Newton Backward interpolation ::::::

Enter x : [0.01 0.02 0.03 0.04 0.05]

Enter y : [98.434 48.439 31.778 23.449 18.454]

Enter point to consider : 0.045

F =

98.434 0 0 0 0

48.439 -49.995 0 0 0

31.778 -16.661 33.334 0 0

23.449 -8.329 8.332 -25.002 0

18.454 -4.995 3.334 -4.998 20.004

Newton backward interpolation polynomial is:

(3042619256995839*x^2)/4294967296 - (93754*x)/5 - (1677990035455999*x^3)/134217728 + (5593523814399995*x^4)/67108864 + 997340609276543/4398046511104

Approx value at given point is : 20.0657