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

2003; Elsevier BV; Volume: 146; Issue: 2-3 Linguagem: Inglês

10.1016/s0096-3003(02)00613-6

1873-5649

A.S.V. Ravi Kanth, Y. N. Reddy,

Numerical methods for differential equations

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,@d], where @d is near the singularity, we first replace it by a regular problem on some interval [@d,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.