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  • 标题:Non-polynomial cubic spline discretization for system of non-linear singular boundary value problems using variable mesh
  • 本地全文:下载
  • 作者:Ranjan Kumar Mohanty ; Sucheta Nayak ; Arshad Khan
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:327
  • DOI:10.1186/s13662-017-1380-2
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we propose two generalized non-polynomial cubic spline schemes using a variable mesh to solve the system of non-linear singular two point boundary value problems. Theoretical analysis proves that the proposed methods have second- and third-order convergence. Both methods are applicable to singular boundary value problems. Numerical results are also provided to show the accuracy and efficiency of the proposed methods.
  • 关键词:non-polynomial ; cubic spline ; variable mesh ; singular ; non-linear
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