# 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 33-47 15 Japan Journal of Industrial and Applied Mathematics 35 1 https://doi.org/10.1007/s13160-017-0273-9 Published - 2018 Mar 1

### Fingerprint

Invariance
Numerical methods

### 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, Vol. 35, No. 1, 01.03.2018, p. 33-47.

Research output: Contribution to journalArticle

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