Two Methods to a Fractional Single Phase Moving Boundary Problem

摘要：

A moving boundary problem of a ice melting problem is considered in this study. The theory of heat conduction equation used is the time Caputo fractional equation. Since the moving boundary problems are diffcult to get the exact solution, two methods are presented to approximate the deduce of the temperature. To simplify the computation, a similarity variable are adopted in order to reduce the partial differential equations to ordinary ones.

关键词： fractional derivative anomaous heat conduction similarity variable approximate solution.

作者: Xicheng Li

作者单位: School of Mathematical Sciences, University of Jinan, Shandong, P.R. China

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-4

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）