International Journal of Mathematics and Mathematical Sciences 
Volume 29 (2002), Issue 6, Pages 361-369
doi:10.1155/S0161171202005550

A Galerkin method of O(h2) for singular boundary value problems

G. K. Beg and M. A. El-Gebeily

Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Received 8 May 2000; Revised 2 August 2000

Abstract

We describe a Galerkin method with special basis functions for a class of singular two-point boundary value problems. The convergence is shown which is of O(h2) for a certain subclass of the problems.