Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems

Author: Mohanty R.K.  

Publisher: Taylor & Francis Ltd

ISSN: 0020-7160

Source: International Journal of Computer Mathematics, Vol.81, Iss.5, 2004-05, pp. : 615-627

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Abstract

In this article, using spline in compression, we discuss three difference schemes for the numerical solution of singularly perturbed two-point singular boundary-value problems. The proposed schemes are second-order accurate and applicable to problems both in singular and non-singular cases. Convergence analysis of a difference scheme is discussed and numerical results are given to illustrate the utility of the proposed methods.