Moving mesh method with local time step refinement for blow-up problems

被引：2
作者：
Soheill, All R. [1 ]
Salahshour, Sohell [1 ]
机构：
[1] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 195卷 / 01期
关键词：
moving mesh method; local time step refinement; blow-up problem;
D O I：
10.1016/j.amc.2007.04.073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the dynamical moving mesh method is merged with the local time stepping technique and the new method is applied for blow-up problems. It has some benefit in approximating an accurate blow-up time by starting at any positive initial time (t(0) > 0). Our numerical experiment shows that without applying the local time stepping method, wrong blow-up time will be obtained, if the equation integrates from t(0) > 0. (c) 2007 Elsevier Inc. All rights reserved.
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页码：76 / 85
页数：10
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