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

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. App...

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Bibliographic Details
Published in:	Japan journal of industrial and applied mathematics Vol. 35; no. 1; pp. 33 - 47
Main Authors:	Anada, Koichi, Ishiwata, Tetsuya, Ushijima, Takeo
Format:	Journal Article
Language:	English
Published:	Tokyo Springer Japan 01-03-2018 Springer Nature B.V
Subjects:	Applications of Mathematics Chaos theory Computational Mathematics and Numerical Analysis Estimation Evolutionary algorithms Invariance Mathematics Mathematics and Statistics Nonlinear equations Nonlinear evolution equations Nonlinear programming Numerical analysis Numerical methods Original Paper Rescaling Scaling Rescaling algorithm Numerical method 65M99 Blow-up rate 65L99
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