Introduction Notes Theory HOWTO Examples
Engineering Error Questions Matlab Maple
Question 1
Use h = 0.5 and εstep = 0.00001 to approximate the derivative of f(x) = tan(x) at x = 1 using the centred divided- difference formula and Richardson extrapolation.
Answer: R5,5 = 3.425518831
Question 2
Repeat Question 1 but for the function f(x) = sin(x)/x.
Answer: R3,3 = -.3011686798
Question 3
Does it significantly hurt our approximation to use Richardson extrapolation in a situation where it does not apply?
Answer: recall that each value Ri,j approximates the integral, so any weighted average of these will still approximate the same integral.
Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.
