On the computation of the numerical blow-up time

被引：19

作者：

Cho, Chien-Hong ^{[1
]}

机构：

[1] Natl Chung Cheng Univ, Dept Math, Min Hsiung 621, Chia Yi, Taiwan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2013年 / 30卷 / 02期

关键词：

Blow-up; Finite difference method; Numerical blow-up time;

D O I：

10.1007/s13160-013-0101-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For certain evolution equations, we mean by the word "blow-up" that the solutions become unbounded in finite time T. The finite time T is called the blow-up time. In this paper, we propose an algorithm to compute the blow-up time by using a finite difference scheme with uniform temporal grid size.

引用

页码：331 / 349

页数：19

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