CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2009, Vol. 26 ›› Issue (3): 449-453.DOI: 10.3969/j.issn.1001-246X.2009.03.017

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Scaling of Time-fractional Edwards-Wilkinson Equation

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

  1. 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)

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

CLC Number: