Example 1. Solve the I.V.P. .
Solution 1.
Compute the Heun solution based on 25 subintervals and plot the results.
(c) John H. Mathews 2004
![[Graphics:Images/Heun'sMethodMod_gr_28.gif]](../Images/Heun'sMethodMod_gr_28.gif){kind=small}
. . ![[Graphics:../Images/Heun'sMethodMod_gr_33.gif]](../Images/Heun'sMethodMod_gr_33.gif)
![[Graphics:../Images/Heun'sMethodMod_gr_29.gif]](../Images/Heun'sMethodMod_gr_29.gif)
![[Graphics:../Images/Heun'sMethodMod_gr_30.gif]](../Images/Heun'sMethodMod_gr_30.gif){kind=small}
![[Graphics:../Images/Heun'sMethodMod_gr_31.gif]](../Images/Heun'sMethodMod_gr_31.gif){kind=small}
![[Graphics:../Images/Heun'sMethodMod_gr_32.gif]](../Images/Heun'sMethodMod_gr_32.gif)
![[Graphics:../Images/Heun'sMethodMod_gr_34.gif]](../Images/Heun'sMethodMod_gr_34.gif){kind=small}
![[Graphics:../Images/Heun'sMethodMod_gr_35.gif]](../Images/Heun'sMethodMod_gr_35.gif){kind=small}
![[Graphics:../Images/Heun'sMethodMod_gr_36.gif]](../Images/Heun'sMethodMod_gr_36.gif)
![[Graphics:../Images/Heun'sMethodMod_gr_37.gif]](../Images/Heun'sMethodMod_gr_37.gif){kind=small}
![[Graphics:../Images/Heun'sMethodMod_gr_38.gif]](../Images/Heun'sMethodMod_gr_38.gif){kind=small}