Numerical Differentiation a. Calculate f'(0.1) using the forward, backward, and central finite difference methods that h
Posted: Fri Jul 08, 2022 6:35 am
Numerical Differentiation
a. Calculate f'(0.1) using the forward, backward, andcentral finite difference methods that has the orderO(h2)! (5).
b. Calculate f'(0.1) using the forward, backward, andcentral finite difference methods that has the orderO(h4)! (*) (10).
c. Calculate f'(0.2) using the forward, backward, and centralfinite difference methods that has the order O(h2)!(5).
*) Count to four digits after the comma, and if it can't bedone then give the reason!
*) Clue for (b): The result of calculation with orderO(h4) can be achieved by using Richardson interpolationa method with O(h2).
a. Calculate f'(0.1) using the forward, backward, andcentral finite difference methods that has the orderO(h2)! (5).
b. Calculate f'(0.1) using the forward, backward, andcentral finite difference methods that has the orderO(h4)! (*) (10).
c. Calculate f'(0.2) using the forward, backward, and centralfinite difference methods that has the order O(h2)!(5).
*) Count to four digits after the comma, and if it can't bedone then give the reason!
*) Clue for (b): The result of calculation with orderO(h4) can be achieved by using Richardson interpolationa method with O(h2).