Program Listing for File RK38.m

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%
%> Class container for Runge-Kutta 3/8-rule method.
%
classdef RK38 < Indigo.RungeKutta
  %
  methods
    %
    % - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    %
    %> Runge-Kutta 3/8-rule method.
    %>
    %> \f[
    %> \begin{array}{c|ccccc}
    %>     0 &    0 &   0 &   0 &   0 \\
    %>   1/3 &  1/3 &   0 &   0 &   0 \\
    %>   2/3 & -1/3 &   1 &   0 &   0 \\
    %>     1 &    1 &  -1 &   1 &   0 \\
    %>   \hline
    %>       &  1/8 & 3/8 & 3/8 & 1/8
    %> \end{array}
    %> \f]
    %
    function this = RK38()
      tbl.A   = [0,    0,  0, 0; ...
                 1/3,  0,  0, 0; ...
                 -1/3, 1,  0, 0; ...
                 1,    -1, 1, 0];
      tbl.b   = [1/8, 3/8, 3/8, 1/8];
      tbl.b_e = [];
      tbl.c   = [0, 1/3, 2/3, 1]';
      this@Indigo.RungeKutta('RK38', 4, tbl);
    end
    % - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  end
end