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文章基本信息

  • 标题:A Fifth Order Compact Difference Method for Singularly Perturbed Singular Boundary Value Problems
  • 本地全文:下载
  • 作者:H.S. Prasad ; Y.N. Reddy
  • 期刊名称:American Journal of Applied Mathematics and Statistics
  • 印刷版ISSN:2328-7306
  • 电子版ISSN:2328-7292
  • 出版年度:2015
  • 卷号:3
  • 期号:2
  • 页码:49-53
  • DOI:10.12691/ajams-3-2-1
  • 语种:English
  • 出版社:Science and Education Publishing
  • 摘要:In this paper, we have developed a fifth order compact difference method for a class of singularly perturbed singular two-point boundary value problems. To avoid the singularity at zero a terminal boundary condition in the implicit form is derived. Using this condition as one of the boundary condition we solve the singularly perturbed singular two-point boundary value problem by the fifth order compact difference scheme. Numerical results are presented to illustrate the proposed method and compared with exact solution.
  • 关键词:singular boundary value problem; singularly perturbations; singular point; boundary layer; finite differences
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