M. K. Kadalbajoo and K. C. Patidar, “Numerical Solution of Singularly Perturbed Two Point Boundary Value Problems by Spline in Compression,” International Jour- nal of Computer Mathematics, Vol. 77, No. 2, 2001, pp. 263-284. doi:10.1080/00207160108805064

has been cited by the following article:

• TITLE: Spline in Compression Methods for Singularly Perturbed 1D Parabolic Equations with Singular Coefficients

  AUTHORS: Ranjan K. Mohanty, Vijay Dahiya, Noopur Khosla

  KEYWORDS: Spline in Compressions; Parabolic Equations; Two-Level Implicit Schemes; Singular Perturbation; Singular Coefficients; RMS Errors

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.2 No.2, April 27, 2012

  ABSTRACT: In this article, we discuss three difference schemes; for the numerical solution of singularity perturbed 1-D parabolic equations with singular coefficients using spline in compression. The proposed methods are of accurate and applicable to problems in both cases singular and non-singular. Stability theory of a proposed method has been discussed and numerical examples have been given in support of the theoretical results.