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Advances in Numerical Analysis
Volume 2012 (2012), Article ID 349618, 21 pages
Research Article

A Note on Fourth Order Method for Doubly Singular Boundary Value Problems

Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India

Received 31 May 2012; Accepted 5 September 2012

Academic Editor: Hassan Safouhi

Copyright © 2012 R. K. Pandey and G. K. Gupta. 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.


We present a fourth order finite difference method for doubly singular boundary value problem with boundary conditions and , where , , and are finite constants. Here and is allowed to be discontinuous at the singular point . The method is based on uniform mesh. The accuracy of the method is established under quite general conditions and also corroborated through one numerical example.