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

Koichi Anada, Tetsuya Ishiwata, Takeo Ushijima

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)1-15
Number of pages15
JournalJapan Journal of Industrial and Applied Mathematics
DOIs
Publication statusAccepted/In press - 2017 Oct 14

Fingerprint

Blow-up Rate
Rescaling
Nonlinear Evolution Equations
Invariance
Numerical methods
Numerical Methods
Scaling
Blow-up of Solutions
Estimate
Class

Keywords

  • Blow-up rate
  • Numerical method
  • Rescaling algorithm

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

Cite this

A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm. / Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo.

In: Japan Journal of Industrial and Applied Mathematics, 14.10.2017, p. 1-15.

Research output: Contribution to journalArticle

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