International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 5, Pages 257-269
doi:10.1155/S0161171202013133
A higher-order method for nonlinear singular two-point boundary value problems
K.M. Furati
and M.A. El-Gebeily
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Abstract
We present a finite difference method for a general class of nonlinear singular two-point boundary value problems. The order of convergence of the method for such a general class of problems is higher than the previous reported methods. The method yields a fourth-order convergence for the special case p(x)=w(x)=xα, α≥1.