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Math Help - finding coefficients

  1. #1
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    finding coefficients

    determine a,b and c such that formula _
    / h
    | f(x) dx = h(af(0) + bf(h / 3) + cf(h))
    _/ 0

    is exact for polynomial of as high order as possible.Also determine the order of truncation error

    for the first part i am confused on which order to take whether n=2 or n=3.
    After that i tried determing a,b,c by legendres polynomial as i have got x(0)=0 x(1)=h/3 x(2)=h

    is my method correct? please help
    Last edited by prasum; April 5th 2014 at 10:01 PM.
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  2. #2
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    Re: finding coefficients

    got it i have to find exactness by putting f(x)=1,x,x^2 respectively
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