Example 3.  Solve the Lorenz I. V. P.
          
          
          

Solution 3.

Enter the vector function  .  

Compute the Runge-Kutta solution. Since this curve is known to twist a lot in 3D space, it will require about 1000 subintervals to get good resolution.

Let us investigate what happens along the `green` curve and the `blue curve.`
By trial and error, it can be discovered that the last 322 points on the will illustrate what is happening.

(c) John H. Mathews 2004