Example 9.  Solve the I.V.P.  [Graphics:Images/Heun'sMethodMod_gr_109.gif].  

Solution 9.

Compute the Heun solution based on 50 subintervals and plot the results.
Note, for this example we will extend one subinterval more to the right of  t=1.

[Graphics:../Images/Heun'sMethodMod_gr_110.gif]


[Graphics:../Images/Heun'sMethodMod_gr_111.gif]
[Graphics:../Images/Heun'sMethodMod_gr_112.gif]


[Graphics:../Images/Heun'sMethodMod_gr_113.gif]

[Graphics:../Images/Heun'sMethodMod_gr_114.gif]

[Graphics:../Images/Heun'sMethodMod_gr_115.gif]
[Graphics:../Images/Heun'sMethodMod_gr_116.gif]
[Graphics:../Images/Heun'sMethodMod_gr_117.gif]
[Graphics:../Images/Heun'sMethodMod_gr_118.gif]
[Graphics:../Images/Heun'sMethodMod_gr_119.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004