A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm

Koichi Anada, Tetsuya Ishiwata, Takeo Ushijima

研究成果: Article

抄録

In this paper, we proposed a numerical method for estimating blow-up rate of blow-up solutions for a class of nonlinear evolution equations which have a scaling invariance. To use this scaling invariance we adopt the rescaling algorithm to the problems and numerically estimate the blow-up rates. Applying the method to several examples, we examine the effectiveness of the method.

元の言語English
ページ(範囲)33-47
ページ数15
ジャーナルJapan Journal of Industrial and Applied Mathematics
35
発行部数1
DOI
出版物ステータスPublished - 2018 3 1

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Invariance
Numerical methods

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

これを引用

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