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A non-uniform mesh finite difference method and its convergence for a class of singular two-point boundary value problems

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Pages 1507-1512 | Accepted 15 Dec 2003, Published online: 25 Jan 2007
 

Abstract

In the present paper, we discuss the construction of second-order three-point finite difference method based on non-uniform mesh for a class of singular two-point boundary value (BV) problem (---1507---1)

This is the method and its second-order convergence for various α ∈ (0, 1) are illustrated by a numerical example.

Acknowledgement

I wish to express my sincere thanks to Professor R. C. Mittal (Department of Mathematics, Indian Institute of Technology, Roorkee, India) for his comments and suggestions.

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