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Two-point boundary value problems associated to functional differential equations of even order solved by iterated splines

机译:偶数样条函数求解偶数阶泛函微分方程的两点边值问题

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摘要

A new iterative numerical method to solve two-point boundary value problems associated to functional differential equations of even order is proposed. The method uses a cubic spline interpolation procedure activated at each iterative step. The convergence of the method is proved and it is tested on some numerical experiments. The notion of numerical stability with respect to the choice of the first iteration is introduced proving that the proposed method is numerically stable in this sense.
机译:提出了一种求解偶数阶泛函微分方程两点边值问题的新的迭代数值方法。该方法使用在每个迭代步骤中激活的三次样条插值过程。证明了该方法的收敛性,并在一些数值实验中进行了测试。引入了关于第一迭代的选择的数值稳定性的概念,证明了所提出的方法在这个意义上是数值稳定的。

著录项

  • 来源
    《Applied numerical mathematics》 |2016年第12期|128-147|共20页
  • 作者单位

    Department of Mathematics and Informatics, Faculty of Environment Protection, Faculty of Electrical Engineering and Information Technology,University of Oradea, Universitatii Street no. 1,410087 Oradea, Romania;

    Department of Mathematics and Informatics, Faculty of Environment Protection, Faculty of Electrical Engineering and Information Technology,University of Oradea, Universitatii Street no. 1,410087 Oradea, Romania;

    Department of Mathematics and Informatics, Faculty of Environment Protection, Faculty of Electrical Engineering and Information Technology,University of Oradea, Universitatii Street no. 1,410087 Oradea, Romania;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Two-point boundary value problems; Functional differential equations of even; order; Iterative numerical method; Natural cubic splines;

    机译:两点边值问题;偶数泛函微分方程订购;迭代数值方法;天然三次样条;

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