Construct Hermite interpolation polynomial if: $ f(1)=0, f'(1)=3, f''(1)=4, f(3)=1, f''(3)=4 $. Can you give me some tips how to do this task?
Asked
Active
Viewed 54 times
0
-
4The principle is explained here https://en.wikipedia.org/wiki/Hermite_interpolation ... It will be a bit of a grind ! ... Good luck. – Donald Splutterwit Dec 23 '20 at 17:01
1 Answers
0
$a+bx+cx^2+dx^3+ex^4$
a+b+c+d+e=0,
b+2c+3d+4e=3,
2c+6d+12e=4,
a+3b+9c+27d+81e=1,
2c+18d+108e=4
$49/16-14x+(133/8)x^2-(13/2)x^3+(13/16)x^4$
yugikaiba
- 156