Example 9.  Solve the I.V.P.  [Graphics:Images/AdamsBashforthMod_gr_120.gif].  

Solution 9.

Compute the Adams-Bashforth-Moulton solution based on 50 subintervals and plot the results.

[Graphics:../Images/AdamsBashforthMod_gr_121.gif]


[Graphics:../Images/AdamsBashforthMod_gr_122.gif]
[Graphics:../Images/AdamsBashforthMod_gr_123.gif]


[Graphics:../Images/AdamsBashforthMod_gr_124.gif]

[Graphics:../Images/AdamsBashforthMod_gr_125.gif]

[Graphics:../Images/AdamsBashforthMod_gr_126.gif]
[Graphics:../Images/AdamsBashforthMod_gr_127.gif]
[Graphics:../Images/AdamsBashforthMod_gr_128.gif]
[Graphics:../Images/AdamsBashforthMod_gr_129.gif]
[Graphics:../Images/AdamsBashforthMod_gr_130.gif]

Compute the Adams-Bashforth-Moulton solution based on 100 subintervals and plot the results.
Observe that one fewer subinterval is computed for this case.

[Graphics:../Images/AdamsBashforthMod_gr_131.gif]

[Graphics:../Images/AdamsBashforthMod_gr_132.gif]

[Graphics:../Images/AdamsBashforthMod_gr_133.gif]
[Graphics:../Images/AdamsBashforthMod_gr_134.gif]
[Graphics:../Images/AdamsBashforthMod_gr_135.gif]
[Graphics:../Images/AdamsBashforthMod_gr_136.gif]
[Graphics:../Images/AdamsBashforthMod_gr_137.gif]

Compute the Adams-Bashforth-Moulton solution based on 200 subintervals and plot the results.
Observe that four fewer subintervals are computed for this case.

[Graphics:../Images/AdamsBashforthMod_gr_138.gif]

[Graphics:../Images/AdamsBashforthMod_gr_139.gif]

[Graphics:../Images/AdamsBashforthMod_gr_140.gif]
[Graphics:../Images/AdamsBashforthMod_gr_141.gif]
[Graphics:../Images/AdamsBashforthMod_gr_142.gif]
[Graphics:../Images/AdamsBashforthMod_gr_143.gif]
[Graphics:../Images/AdamsBashforthMod_gr_144.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004