Example 1. Solve the I.V.P. .
Solution 1.
Compute the Milne-Simpson solution based on 25 subintervals and plot the results.
(c) John H. Mathews 2004
![[Graphics:Images/MilneSimpsonMod_gr_42.gif]](../Images/MilneSimpsonMod_gr_42.gif){kind=small}
. . ![[Graphics:../Images/MilneSimpsonMod_gr_47.gif]](../Images/MilneSimpsonMod_gr_47.gif)
![[Graphics:../Images/MilneSimpsonMod_gr_43.gif]](../Images/MilneSimpsonMod_gr_43.gif)
![[Graphics:../Images/MilneSimpsonMod_gr_44.gif]](../Images/MilneSimpsonMod_gr_44.gif){kind=small}
![[Graphics:../Images/MilneSimpsonMod_gr_45.gif]](../Images/MilneSimpsonMod_gr_45.gif){kind=small}
![[Graphics:../Images/MilneSimpsonMod_gr_46.gif]](../Images/MilneSimpsonMod_gr_46.gif)
![[Graphics:../Images/MilneSimpsonMod_gr_48.gif]](../Images/MilneSimpsonMod_gr_48.gif){kind=small}
![[Graphics:../Images/MilneSimpsonMod_gr_49.gif]](../Images/MilneSimpsonMod_gr_49.gif){kind=small}
![[Graphics:../Images/MilneSimpsonMod_gr_50.gif]](../Images/MilneSimpsonMod_gr_50.gif)
![[Graphics:../Images/MilneSimpsonMod_gr_51.gif]](../Images/MilneSimpsonMod_gr_51.gif){kind=small}
![[Graphics:../Images/MilneSimpsonMod_gr_52.gif]](../Images/MilneSimpsonMod_gr_52.gif){kind=small}