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文章基本信息

  • 标题:Comparison of B‐spline Method and Finite Difference Method to Solve BVP of Linear ODEs
  • 本地全文:下载
  • 作者:Chang, Jincai ; Yang, Qianli ; Zhao, Long
  • 期刊名称:Journal of Computers
  • 印刷版ISSN:1796-203X
  • 出版年度:2011
  • 卷号:6
  • 期号:10
  • 页码:2149-2155
  • DOI:10.4304/jcp.6.10.2149-2155
  • 语种:English
  • 出版社:Academy Publisher
  • 摘要:B-spline functions play important roles in both mathematics and engineering. To describe a numerical method for solving the boundary value problem of linear ODE with second-order by using B-spline. First, the cubic B-spline basis functions are introduced, then we use the linear combination of cubic B-spline basis to approximate the solution. Finally, we obtain the numerical solution by solving tri-diagonal equations. The results are compared with finite difference method through two examples which shows that the B-spline method is feasible and efficient.
  • 关键词:B-spline function;boundary-value problem;finite difference method
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