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Calcolo

, Volume 54, Issue 2, pp 515–526 | Cite as

A new numerical method for singularly perturbed turning point problems with two boundary layers based on reproducing kernel method

  • F. Z. GengEmail author
  • S. P. Qian
Article

Abstract

In this paper, a simple numerical method is proposed for solving singularly perturbed boundary layers problems exhibiting twin boundary layers. The method avoids the choice of fitted meshes. Firstly the original problem is transformed into a new boundary value problem whose solution does not change rapidly by a proper variable transformation; then the transformed problem is solved by using the reproducing kernel method. Two numerical examples are given to show the effectiveness of the present method.

Keywords

Reproducing kernel method Two boundary layers Singularly perturbed problems 

Mathematics Subject Classification

65L11 65D15 

Notes

Acknowledgments

The work was supported by the National Natural Science Foundation of China (Nos. 11201041, 11026200), the Special Funds of the National Natural Science Foundation of China (No. 11141003) and Qing Lan Project of Jiangsu Province.

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Copyright information

© Springer-Verlag Italia 2016

Authors and Affiliations

  1. 1.Department of MathematicsChangshu Institute of TechnologyChangshuPeople’s Republic of China

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