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
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
Received 18 May 2001; Revised 3 October 2001
Copyright © 2002 K. M. Furati and M. A. El-Gebeily. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.