Example 1.  Solve the I.V.P.  [Graphics:Images/AdamsBashforthMod_gr_39.gif].  

Solution 1.

Compute the Adams-Bashforth-Moulton solution based on 25 subintervals and plot the results.

[Graphics:../Images/AdamsBashforthMod_gr_40.gif]


[Graphics:../Images/AdamsBashforthMod_gr_41.gif]
[Graphics:../Images/AdamsBashforthMod_gr_42.gif]


[Graphics:../Images/AdamsBashforthMod_gr_43.gif]

[Graphics:../Images/AdamsBashforthMod_gr_44.gif]

[Graphics:../Images/AdamsBashforthMod_gr_45.gif]
[Graphics:../Images/AdamsBashforthMod_gr_46.gif]
[Graphics:../Images/AdamsBashforthMod_gr_47.gif]
[Graphics:../Images/AdamsBashforthMod_gr_48.gif]
[Graphics:../Images/AdamsBashforthMod_gr_49.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004