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

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摘要

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.

论文关键词:Tension spline,Non-uniform mesh,Singularly perturbation,Singularity,RMS errors

论文评审过程:Available online 14 April 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.02.023