文献类型：期刊文献

英文题名：A numerical investigation of blow-up in the moving heat source problems in two-dimensions

作者：Zhu, Hancan[1]; Liang, Kewei[2]

机构：[1] Shaoxing University, Department of Mathematics, West Ring Road 508, Shaoxing, China; [2] Zhejiang University, Department of Mathematics, Zheda Road 38, Hangzhou, China

年份：2013

卷号：12

期号：3

起止页码：286

外文期刊名：WSEAS Transactions on Mathematics

收录：EI(收录号：20132116354426)、Scopus(收录号：2-s2.0-84877791525)

语种：英文

外文关键词：Linear equations - Partial differential equations

外文摘要：The temperature of a combustible material will rise or even blow up when a heat source moves across it. In this paper, we study the blow-up phenomenon in this kind of moving heat source problems in two-dimensions. First, a two-dimensional heat equation with a nonlinear source term is introduced to model the problem. The nonlinear source is localized around a circle which is allowed to move. By using the coordinate transformation, the equation is simplified to a one-dimensional one. Then it is solved by the moving collocation method. The numerical results show that the blow-up occurs if the speed of the heat source is slow, and the blow-up is avoided when the heat source moves fast enough.