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Math Help - Find a Butcher Tableau

  1. #1
    Senior Member
    Joined
    Nov 2008
    Posts
    461

    Find a Butcher Tableau

    Hi there

    Find the Butcher Tableau of the forth order method :

     k_1 = f(t_i , y_i)

    k_2 = f(t_i + 0.5 h , y_i + \frac{h}{4}(k_1+k_2))

    k_3 = f(t_i + h , y_i + hk_2)

    y_{i+1} = y_i + \frac{h}{6} (k_1 + 4k_2 + k_3)

    Any help would be much appreciated

    Best regards,
    Rapha
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  2. #2
    Newbie
    Joined
    May 2010
    Posts
    1

    butcher table

    0 | 0 0 0
    1/2 | 1/4 1/4 0
    1 | 0 1 0
    ----------------
    1/6 2/3 1/6
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