On the numerical solutions for a parabolic system with blow-up

We study the finite difference approximation for axisymmetric solutions of a parabolic system with blow-up. A scheme with adaptive temporal increments is commonly used to compute an approximate blow-up time. There are, however, some limitations to reproduce the blow-up behaviors for such schemes. We...

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Bibliographic Details
Main Authors: Chien-Hong Cho, Ying-Jung Lu
Format: Article
Language:English
Published: AIMS Press 2021-08-01
Series:AIMS Mathematics
Subjects:
Online Access:https://aimspress.com/article/doi/10.3934/math.2021683?viewType=HTML