Integral methods for computing solutions of a class of singular two-point boundary value problems

摘要

In this paper, we establish three iteration methods to compute solutions for a class of (weakly) singular two-point boundary value problems (xαy′)′=f(x,y), where x∈(0,1) and α<2. We obtain the sufficient conditions for existence of a unique solution on R. Finally, we given some numerical examples.