A numerical method for singular two point boundary value problems via Chebyshev economizition

In this paper we present a numerical method for solving a two point boundary value problem in the interval [0, 1] with regular singularity at x = 0. By employing the Chebyshev economizition on [0, delta], where delta is near the singularity, we first replace it by a regular problem on some interval [delta, 1]. The stable central difference method is then employed to solve the problem over the reduced interval. Some numerical results are presented to demonstrate the applicability of the method. (C) 2002 Published by Elsevier Inc.