@article{698c0abd299640dca22f8ef3d2e445bd,
title = "A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm",
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.",
keywords = "Blow-up rate, Numerical method, Rescaling algorithm",
author = "Koichi Anada and Tetsuya Ishiwata and Takeo Ushijima",
note = "Funding Information: Acknowledgements The second author is partially supported by JSPS KAKENHI Grant Numbers 15K13461 and 15H03632. The authors thank the referees for careful reading and invaluable comments on our manuscript. Publisher Copyright: {\textcopyright} 2017, The JJIAM Publishing Committee and Springer Japan KK.",
year = "2018",
month = mar,
day = "1",
doi = "10.1007/s13160-017-0273-9",
language = "English",
volume = "35",
pages = "33--47",
journal = "Japan Journal of Industrial and Applied Mathematics",
issn = "0916-7005",
publisher = "Springer Japan",
number = "1",
}