Numerical validation of blow-up solutions of ordinary differential equations

Akitoshi Takayasu, Kaname Matsue, Takiko Sasaki, Kazuaki Tanaka, Makoto Mizuguchi, Shin'ichi Oishi

研究成果: Article査読

12 被引用数 (Scopus)

抄録

This paper focuses on blow-up solutions of ordinary differential equations (ODEs). We present a method for validating blow-up solutions and their blow-up times, which is based on compactifications and the Lyapunov function validation method. The necessary criteria for this construction can be verified using interval arithmetic techniques. Some numerical examples are presented to demonstrate the applicability of our method.

本文言語English
ページ(範囲)10-29
ページ数20
ジャーナルJournal of Computational and Applied Mathematics
314
DOI
出版ステータスPublished - 2017 4 1

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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