Thread: Help me in numerical analysis (interpolation)

Please, I need your help to solve these difficult problems in the interpolation from numerical analysis course

Originally Posted by Abdulla

Please, I need your help to solve these difficult problems in the interpolation from numerical analysis course

For the first you are told that P(x) is a fourth degree polynomial, so you know that the fourth differences are constant.

CB

Originally Posted by Abdulla

Please, I need your help to solve these difficult problems in the interpolation from numerical analysis course

For the second, you are being told that P(x) is a cubic and are provided with enough information to construct its value at any integer argument.

CB

Thanks,But I can't understand the idea in the first problem, can you wite it symbolically??? please help me

Originally Posted by Abdulla

Thanks,But I can't understand the idea in the first problem, can you wite it symbolically??? please help me

There are at least two approaches, the first is to reconstruct the polynomial from the differences, and the second is to just reconstruct the differences table using:



CB