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.