Example 3.  Plot the error for Adams-Bashforth-Moulton's method.

Solution 3.

and the step size h = 0.2

Since we have the analytic or "true solution" at hand, we can run experiments to verify that Adams-Bashforth-Moulton's method has order  .   Reduce the step size by   and see what happens to the error.

(c) John H. Mathews 2004