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Original Articles

A fourth-order spline finite difference method for singular two-point boundary value problems

Pages 1499-1504 | Received 30 Aug 2002, Published online: 12 May 2010
 

Abstract

In this paper we discuss the construction of a spline function for a class of singular two-point boundary value problems

Five point finite difference method using the above splines, obtained is shown to be order h 4 convergent for all α ∈ (0, 1). The method is illustrated computationally.

Acknowledgement

I wish to express my sincere thanks to Professor Tariq Aziz for his comments and suggestions.

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