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Math Help - Numerical Computation

  1. #1
    Newbie
    Joined
    Oct 2010
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    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
    Last edited by CaptainBlack; October 12th 2010 at 02:55 AM.
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  2. #2
    Grand Panjandrum
    Joined
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    someplace
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    Quote Originally Posted by essence View Post
    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
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