文献类型：期刊文献

英文题名：Moving Collocation Method for a Reaction-Diffusion Equation with a Traveling Heat Source

作者：Liang, Kewei[1];Zhu, Hancan[2]

机构：[1]Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China;[2]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China

年份：2013

卷号：29

期号：6

起止页码：2047

外文期刊名：NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

收录：SCI-EXPANDED(收录号：WOS:000325088100012)、、EI(收录号：20134116837604)、Scopus(收录号：2-s2.0-84885022389)、WOS

基金：Contract grant sponsor: National Natural Science Funds of China; contract grant numbers: 11171305 and 11271258; Contract grant sponsor: Tian Yuan Special Funds of the National Foundation of China; contract grant number: 11226311; Contract grant sponsor: Scientific Research Funds of Shooxing University; contract grant number: 20115013; Contract grant sponsor: Zheijiang Provincial Natural Science Foundation of China; contract grant number: Y6110252

语种：英文

外文关键词：moving collocation method; blow-up; reaction-diffusion equation; traveling heat source; local absorbing boundary conditions; the method of line

外文摘要：We consider a reaction-diffusion equation with a traveling heat source on an unbounded domain. The numerical simulation of the problem is difficult because of the moving singularity, the blow-up phenomenon, and the delta function in the equation. Because we are only interested in the solution behavior near the heat source, we choose a bounded moving domain which contains the heat source and has the same speed as the source. Local absorbing boundary conditions are constructed on the boundaries of the moving domain. Then, we transform the moving domain to a fixed one. At last, a special moving collocation method is adopted. The new method is much simpler than the existing moving finite difference methods. Moreover, numerical experiments illustrate the accuracy and efficiency of our moving collocation method. (c) 2013 Wiley Periodicals, Inc.