Table 1 


Original BVP: (1.1) with bc's 
Trans. BVP: (2.2) with bc's 
No. of evals of Trans. BVP 
1 
(3.1) with and (3.76) 
(3.14) and (3.77) 

does not obey (3.1) or (3.76) 
That is, one extra eval 

2 
(3.1) with and (3.76) 
(3.15) and (3.77) 

does not obey (3.1) or (3.76) 
That is, one extra eval 

3 
(3.50) and (3.76) 
(3.51) and (3.77) 

does not obey (3.50) or (3.76) 
That is, one extra eval 

4 
(3.1) with and (3.76) 
(3.16) and (3.77) 

obeys (3.1) but not (3.76) 
That is, same number of evals 

5 
(3.1) with and (3.76) 
(3.17) and (3.77) 

obeys (3.1) but not (3.76) 
That is, same number of evals 

6 
(3.50) and (3.76) 
(3.52) and (3.77) 

obeys (3.50) but not (3.76) 
That is, same number of evals 

7 
(3.1) with and (3.76) 
(3.14) and (3.78) 

obeys (3.76) but not (3.1) 
That is, same number of evals 

8 
(3.1) with and (3.76) 
(3.15) and (3.78) 

obeys (3.76) but not (3.1) 
That is, same number of evals 

9 
(3.50) and (3.76) 
(3.51) and (3.78) 

obeys (3.76) but not (3.1) 
That is, same number of evals 

10 
(3.1) with and (3.76) 
(3.16) and (3.78) 

obeys both (3.1) and (3.76) 
That is, one less eval 

11 
(3.1) with and (3.76) 
(3.17) and (3.78) 

obeys both (3.1) and (3.76) 
That is, one less eval 

12 
(3.50) and (3.76) 
(3.52) and (3.78) 

obeys both (3.50) and (3.76) 
That is, one less eval 



Currie and Love Boundary Value Problems 2011 2011:743135 doi:10.1155/2011/743135 