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A. Berger, J. M. Solomon and M. Ciment, “An Analysis of a Uniformly Accurate Difference Method for a Singular Perturbation Problem,” Mathematics of Computation, Vol. 37, No. 155, 1981, pp. 79-94. doi:10.1090/S0025-5718-1981-0616361-0

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.