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

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.

Keywords:

• Spline in compression
• Singular problems
• Singularity
• Singular perturbation
• RMS errors