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The Solution of a Class of Singularly Perturbed Two-Point Boundary Value Problems by the Iterative Reproducing Kernel Method

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Listed:
  • Zhiyuan Li
  • YuLan Wang
  • Fugui Tan
  • Xiaohui Wan
  • Tingfang Nie

Abstract

In (Wang et al., 2011), we give an iterative reproducing kernel method (IRKM). The main contribution of this paper is to use an IRKM (Wang et al., 2011), in singular perturbation problems with boundary layers. Two numerical examples are studied to demonstrate the accuracy of the present method. Results obtained by the method indicate that the method is simple and effective.

Suggested Citation

  • Zhiyuan Li & YuLan Wang & Fugui Tan & Xiaohui Wan & Tingfang Nie, 2012. "The Solution of a Class of Singularly Perturbed Two-Point Boundary Value Problems by the Iterative Reproducing Kernel Method," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, June.
    • Handle: RePEc:hin:jnlaaa:984057
    DOI: 10.1155/2012/984057
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