A Method of Proving the Existence of Simple Turning Points of Two-Point Boundary Value Problems Based on the Numerical computation with Guaranteed Accuracy (Special Section on Nonlinear Theory and Its Applications)
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概要
- 論文の詳細を見る
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.
- 社団法人電子情報通信学会の論文
- 1998-09-25
著者
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Horiuchi Kazuo
School of Science and Engineering, Waseda University
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Soma T
School Of Science And Engineering Waseda University
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SOMA Takao
School of Science and Engineering, Waseda University
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KANZAWA Yuchi
School of Science and Engineering, Waseda University
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Kanzawa Y
Shibaura Inst. Technol.
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Kanzawa Yuchi
School Of Science And Engineering Waseda University
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Horiuchi Kazuo
School Of Science And Engineering Waseda University
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