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.
|ジャーナル||Japan Journal of Industrial and Applied Mathematics|
|出版ステータス||Accepted/In press - 2017 10 14|
ASJC Scopus subject areas
- Applied Mathematics