Numerical verification of solutions of parametrized nonlinear boundary value problems with turning points

Takuya Tsuchiya*, Mitsuhiro T. Nakao

*この研究の対応する著者

研究成果: Article査読

4 被引用数 (Scopus)

抄録

Nonlinear boundary value problems (NBVPs in abbreviation) with parameters are called parametrized nonlinear boundary value problems. This paper studies numerical verification of solutions of parametrized NBVPs defined on one-dimensional bounded intervals. Around turning points the original problem is extended so that the extended problem has an invertible Fréchet derivative. Then, the usual procedure of numerical verification of solutions can be applied to the extended problem. A numerical example is given.

本文言語English
ページ(範囲)357-372
ページ数16
ジャーナルJapan Journal of Industrial and Applied Mathematics
14
3
DOI
出版ステータスPublished - 1997
外部発表はい

ASJC Scopus subject areas

  • 工学(全般)
  • 応用数学

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