NUMERIC SOLUTIONS OF THERMAL PROBLEMS GOVERNED BY FRACTIONAL DIFFUSION

摘要：

The concept of a fractional diffusion equation is introduced. Two novel numerical solutions are introduced. The first is based on a weighting of non-local finite difference approximation of the flux. The other is based on a Monte-Carlo simulation with step sizes selected from an appropriate a stable Levy distribution. The performance of these two schems are comapred on a steady-state problem. Close agreement between the schemes and with available analytical solutions is observed.

作者: V.R.Voller D.P Zielinski

作者单位: Department of Civil Engineering,University of Minnesota,Minneapolis, MN 55455 Department of Civil Engineering,University of Minnesota, Minneapolis, MN 55455

会议类型: 国际会议

会议名称: 2nd International Conference on Computational Methods for Thermal Problems(第二届热问题计算方法国际会议)

会议地点: 大连

会议语种:英文

页码: 121-124

在线出版日期: 2011-09-05（万方平台首次上网日期，不代表论文的发表时间）