Module 4: Systems of Equations and Equations of Order Greater Than One
  Lecture 13: Direct Methods For Higher Order Equations
 

 

Problems

  1. Consider methods of the form

    for the second order equation

    is taken to mean .

    What is the highest order that can be achieved globally? Is this order changed if

  2. Verify that the method

    is of fourth order for a system of equations of the first order.

    3.