# 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 language English 1-15 15 Japan Journal of Industrial and Applied Mathematics https://doi.org/10.1007/s13160-017-0273-9 Accepted/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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