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R. K. Mohanty, R. Kumar and V. Dahiya, “Spline in Tension Methods for Singularly Perturbed One Space Dimensional Parabolic Equations with Singular Coefficients,” Neural Parallel & Scientific Computations, Vol. 20, No. 1, 2012, pp. 81-92.

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.