文章基本信息

标题：Comparison of B‐spline Method and Finite Difference Method to Solve BVP of Linear ODEs
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作者：Chang, Jincai ; Yang, Qianli ; Zhao, Long 等
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