Program Listing for File BogackiShampine23.m

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%
%> Class container for Bogacki-Shampine 2(3) method.
%
classdef BogackiShampine23 < Indigo.RungeKutta
  %
  methods
    %
    % - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    %
    %> Bogacki-Shampine 2(3) method.
    %>
    %> \f[
    %> \begin{array}{c|ccc}
    %>     0 &   0 &   0 &   0 \\
    %>   1/2 & 1/2 &   0 &   0 \\
    %>   3/4 &   0 & 3/4 &   0 \\
    %>     1 & 2/9 & 1/3 & 4/9 \\
    %>   \hline
    %>       &  2/9 & 1/3 & 4/9 \\
    %>       & 7/24 & 1/4 & 1/3 \\
    %> \end{array}
    %> \f]
    %
    function this = BogackiShampine23()
      tbl.A   = [0,   0,   0,   0; ...
                1/2, 0,   0,   0; ...
                0,   3/4, 0,   0; ...
                2/9, 1/3, 4/9, 0];
      tbl.b   = [2/9, 1/3, 4/9, 0];
      tbl.b_e = [7/24, 1/4, 1/3, 1/8];
      tbl.c   = [0, 1/2, 3/4, 1]';
      this@Indigo.RungeKutta('BogackiShampine23', 3, tbl);
    end
    %
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    %
  end
  %
end