lorzrk.m

matlab的数学物理方程数值算法源程序。这是"Numerical Methods for Physics"第二版的matlab源程序。

function deriv = lorzrk(s,t,param)
%  Returns right-hand side of Lorenz model ODEs
%  Inputs
%    s      State vector [x y z]
%    t      Time (not used)
%    param  Parameters [r sigma b]
%  Output
%    deriv  Derivatives [dx/dt dy/dt dz/dt]

%* For clarity, unravel input vectors
x = s(1); y = s(2); z = s(3);
r = param(1); sigma = param(2); b = param(3);

%* Return the derivatives [dx/dt dy/dt dz/dt]
deriv(1) = sigma*(y-x);
deriv(2) = r*x - y - x*z;
deriv(3) = x*y - b*z;
return;