1. Numerical Computation

Hello everyone

I have tried to solve this question but I couldn't

I know the steps but I don't know how can I apply them so could u plz help me?

the question is:

Use Richardson Extrapolation to find higher order approximations to f′(x)
based off the centred approximation D2.

(a) Find the improved approximation T33 in terms of D2(h), D2(h/2) and D2(h/4).

(b) Write aMATLABscript or function using T33 to compute f′(x) for f(x) = √xcos(x) on [π/2,4π]. Plot your result using h = 1 along with D2(h), D2(h/2), D2(h/4) and the exact solution. Turn in your script and plot.

my steps are:

T(3,3)=f′(x)

T=zeros(3,3)
T(1,1)=?????
T(2,1)=?????
T(3,1)=?????

However, I can't apply them and don't know how can I solve it by using Matlab ,could u plz help me?

thanks

Sara

2. Originally Posted by essence
Hello everyone

I have tried to solve this question but I couldn't

I know the steps but I don't know how can I apply them so could u plz help me?

the question is:

Use Richardson Extrapolation to find higher order approximations to f′(x)
based off the centred approximation D2.

(a) Find the improved approximation T33 in terms of D2(h), D2(h/2) and D2(h/4).

(b) Write aMATLABscript or function using T33 to compute f′(x) for f(x) = √xcos(x) on [π/2,4π]. Plot your result using h = 1 along with D2(h), D2(h/2), D2(h/4) and the exact solution. Turn in your script and plot.

my steps are:

T(3,3)=f′(x)

T=zeros(3,3)
T(1,1)=?????
T(2,1)=?????
T(3,1)=?????

However, I can't apply them and don't know how can I solve it by using Matlab ,could u plz help me?

thanks

Sara
I think you will have to provide more explanation of your notation.

CB