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A. Segal, “Aspects of Numerical Methods for Elliptic Singular Perturbation Problems,” SIAM Journal on Scientific and Statistical Computing, Vol. 3, No. 3, 1982, pp. 327-349. doi:10.1137/0903020

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.