, Volume 28, Issue 1, pp 88-97

A fourth order method for a singular two-point boundary value problem

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Abstract

Recently, Chawla et al. described a second order finite difference method for the class of singular two-point boundary value problems: $$y'' + (\alpha /x)y' + f(x,y) = 0, 0< x< 1, y'(0) = 0, y(1) = A, \alpha \geqslant 1.$$ No higher order finite difference method has been given so far. In the present paper we give a fourth order finite difference method for all α ≥ 1.