A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives

In this paper, tension spline numerical methods are developed on a non-uniform mesh for the efficient numerical integration of singularly perturbed two-point singular boundary value problems. The proposed methods are applicable to problems both in rectangular and polar coordinates. Error analysis of...

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Bibliographic Details
Published in:Applied mathematics and computation 2006, Vol.172 (1), p.531-544
Main Authors: Mohanty, R.K., Arora, Urvashi
Format: Article
Language:English
Subjects:
Error analysis
Exact sciences and technology
Mathematics
Non-uniform mesh
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
RMS errors
Sciences and techniques of general use
Singularity
Singularly perturbation
Tension spline
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Summary:In this paper, tension spline numerical methods are developed on a non-uniform mesh for the efficient numerical integration of singularly perturbed two-point singular boundary value problems. The proposed methods are applicable to problems both in rectangular and polar coordinates. Error analysis of a method is analyzed. Numerical experiments are presented to demonstrate the utility and the efficiency of the proposed computational procedure.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.02.023