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Numerical analysis of two-parameter singularly perturbed boundary value problems via fitted splines.

Authors :
Ravi Kanth, A. S. V.
Murali Mohan Kumar, P.
Source :
Analysis (0174-4747). Aug2017, Vol. 37 Issue 3, p133-143. 11p.
Publication Year :
2017

Abstract

In this paper, we consider two-parameter singularly perturbed boundary value problems via fitted splines. We propose an exponentially fitting factor to the highest order derivative of the problem and discretize by parametric cubic spline functions on a uniform mesh. An error analysis of the method is presented. The efficiency of the method is demonstrated by test examples which support the theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01744747
Volume :
37
Issue :
3
Database :
Academic Search Index
Journal :
Analysis (0174-4747)
Publication Type :
Academic Journal
Accession number :
124483344
Full Text :
https://doi.org/10.1515/anly-2016-0028