A method of proving the existence of simple turning points of two-point boundary value problems based on the numerical computation with guaranteed accuracy

Takao Soma, Shi N.ichi Oishi, Yuchi Kanzawa, Kazuo Horiuchi

研究成果: Article査読

1 被引用数 (Scopus)

抄録

This paper is concerned with the validation of simple turning points of two-point boundary value problems of nonlinear ordinary differential equations. Usually it is hard to validate approximate solutions of turning points numerically because of it's singularity. In this paper, it is pointed out that applying the infinite dimensional Krawcyzk-based interval validation method to enlarged system, the existence of simple turning points can be verified. Taking an example, the result of validation is also presented.

本文言語English
ページ(範囲)1892-1897
ページ数6
ジャーナルIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
E81-A
9
出版ステータスPublished - 1998
外部発表はい

ASJC Scopus subject areas

  • 信号処理
  • コンピュータ グラフィックスおよびコンピュータ支援設計
  • 電子工学および電気工学
  • 応用数学

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