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

Ranjan K. Mohanty, Vijay Dahiya, Noopur Khosla

Department of Mathematics, Bharati Vidyapeeth’s College of Engineering,Guru Gobind Singh Indraprastha University, New Delhi, India.
Department of Mathematics, Deenbandhu Chhotu Ram University of Science & Technology, Murthal, India.
Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, New Delhi, India.

DOI: 10.4236/ojdm.2012.22013                

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.

Keywords

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

Conflicts of Interest

The authors declare no conflicts of interest.

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