Example 11.  Solve the I.V.P.  [Graphics:Images/Heun'sMethodMod_gr_140.gif].    Compute Heun's solution to the I.V.P.

Solution 11.

[Graphics:../Images/Heun'sMethodMod_gr_141.gif]

[Graphics:../Images/Heun'sMethodMod_gr_142.gif]

[Graphics:../Images/Heun'sMethodMod_gr_143.gif]
[Graphics:../Images/Heun'sMethodMod_gr_144.gif]
[Graphics:../Images/Heun'sMethodMod_gr_145.gif]
[Graphics:../Images/Heun'sMethodMod_gr_146.gif]
[Graphics:../Images/Heun'sMethodMod_gr_147.gif]



[Graphics:../Images/Heun'sMethodMod_gr_148.gif]

[Graphics:../Images/Heun'sMethodMod_gr_149.gif]

[Graphics:../Images/Heun'sMethodMod_gr_150.gif]
[Graphics:../Images/Heun'sMethodMod_gr_151.gif]
[Graphics:../Images/Heun'sMethodMod_gr_152.gif]
[Graphics:../Images/Heun'sMethodMod_gr_153.gif]
[Graphics:../Images/Heun'sMethodMod_gr_154.gif]


[Graphics:../Images/Heun'sMethodMod_gr_155.gif]

[Graphics:../Images/Heun'sMethodMod_gr_156.gif]

[Graphics:../Images/Heun'sMethodMod_gr_157.gif]
[Graphics:../Images/Heun'sMethodMod_gr_158.gif]
[Graphics:../Images/Heun'sMethodMod_gr_159.gif]
[Graphics:../Images/Heun'sMethodMod_gr_160.gif]
[Graphics:../Images/Heun'sMethodMod_gr_161.gif]

Animation 1.  ( Heun's Method  Heun's Method ).  Internet hyperlink.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004