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时间分数阶Edwards-Wilkinson方程的标度行为研究(英文) 被引量:3

Scaling of Time-fractional Edwards-Wilkinson Equation
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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. Sealing 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.
出处 《计算物理》 EI CSCD 北大核心 2009年第3期449-453,共5页 Chinese Journal of Computational Physics
基金 Supported by the National Natural Science Foundation of China(10674177) the Scientific Research Foundation for Returned Overseas Chinese Scholars,State Education Ministry(200318)
关键词 标度行为 分数阶扩散 时间分数阶Edwards-Wilkinson方程 scaling fractional diffusion time-fractional Edwards-Wilkinson equation
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参考文献15

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