Example 11.  Solve the I.V.P.  [Graphics:Images/AdamsBashforthMod_gr_165.gif].    Compute the Adams-Bashforth-Moulton solution to the I.V.P.

Solution 11.

[Graphics:../Images/AdamsBashforthMod_gr_166.gif]

[Graphics:../Images/AdamsBashforthMod_gr_167.gif]

[Graphics:../Images/AdamsBashforthMod_gr_168.gif]
[Graphics:../Images/AdamsBashforthMod_gr_169.gif]
[Graphics:../Images/AdamsBashforthMod_gr_170.gif]
[Graphics:../Images/AdamsBashforthMod_gr_171.gif]
[Graphics:../Images/AdamsBashforthMod_gr_172.gif]


[Graphics:../Images/AdamsBashforthMod_gr_173.gif]

[Graphics:../Images/AdamsBashforthMod_gr_174.gif]

[Graphics:../Images/AdamsBashforthMod_gr_175.gif]
[Graphics:../Images/AdamsBashforthMod_gr_176.gif]
[Graphics:../Images/AdamsBashforthMod_gr_177.gif]
[Graphics:../Images/AdamsBashforthMod_gr_178.gif]
[Graphics:../Images/AdamsBashforthMod_gr_179.gif]


[Graphics:../Images/AdamsBashforthMod_gr_180.gif]

[Graphics:../Images/AdamsBashforthMod_gr_181.gif]

[Graphics:../Images/AdamsBashforthMod_gr_182.gif]
[Graphics:../Images/AdamsBashforthMod_gr_183.gif]
[Graphics:../Images/AdamsBashforthMod_gr_184.gif]
[Graphics:../Images/AdamsBashforthMod_gr_185.gif]
[Graphics:../Images/AdamsBashforthMod_gr_186.gif]

Animation 1.  ( Adams-Bashforth-Moulton Method  Adams-Bashforth-Moulton Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004