时间分数阶Edwards-Wilkinson方程的标度行为研究

doi:10.3969/j.issn.1001-246X.2009.03.017

计算物理 ›› 2009, Vol. 26 ›› Issue (3): 449-453.DOI: 10.3969/j.issn.1001-246X.2009.03.017

时间分数阶Edwards-Wilkinson方程的标度行为研究

夏辉, 唐刚, 韩奎, 郝大鹏, 寻之朋

中国矿业大学物理系, 江苏徐州 221116

收稿日期:2008-01-14 修回日期:2008-06-05 出版日期:2009-05-25 发布日期:2009-05-25
作者简介:夏辉(1976-),male,Yongcheng,Henen,Maser,major in surface growth dynamics.
基金资助:
Supported by the National Natural Science Foundation of China(10674177);the Scientific Research Foundation for Returned Overseas Chinese Scholars,State Education Ministry(200318)

Scaling of Time-fractional Edwards-Wilkinson Equation

XIA Hui, TANG Gang, HAN Kui, HAO Dapeng, XUN Zhipeng

Department of Physics, China University of Mining and Technology, Xuzhou 221116, China

Received:2008-01-14 Revised:2008-06-05 Online:2009-05-25 Published:2009-05-25
Supported by:
Supported by the National Natural Science Foundation of China(10674177);the Scientific Research Foundation for Returned Overseas Chinese Scholars,State Education Ministry(200318)

摘要/Abstract

摘要： 分别采用数值模拟和标度分析方法对1+1维时间分数阶Edwards-Wilkinson方程的标度行为进行研究.利用Caputo分数阶导数数值解求得的生长指数与采用直接标度分析方法得到的结果一致.

关键词: 标度行为, 分数阶扩散, 时间分数阶Edwards-Wilkinson方程

Abstract: Scaling of time-fractional Edwards-Wilkinson (TFEW) equation in 1+1 dimensions is investigated with numerical simulation and scaling analysis. It is found that the growth exponents obtained by numerical solution based on Caputo-type fractional derivative are consistent with scaling analysis.

Key words: scaling, fractional diffusion, time-fractional Edwards-Wilkinson equation

中图分类号:

O414.22

夏辉, 唐刚, 韩奎, 郝大鹏, 寻之朋. 时间分数阶Edwards-Wilkinson方程的标度行为研究[J]. 计算物理, 2009, 26(3): 449-453.

XIA Hui, TANG Gang, HAN Kui, HAO Dapeng, XUN Zhipeng. Scaling of Time-fractional Edwards-Wilkinson Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(3): 449-453.

时间分数阶Edwards-Wilkinson方程的标度行为研究

Scaling of Time-fractional Edwards-Wilkinson Equation

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