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

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.

Keywords:

• Singular two-point boundary value problems
• Spline solution
• Continuity conditions

Acknowledgement

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