A novel numerical approximation for the space fractional advection-dispersion equation

A novel numerical approximation for the space fractional advection-dispersion equation
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空间分数平流色散方程的一种新颖数值近似

DOI:
10.1093/imamat/hxs073
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发表时间:
2014-06
影响因子:
1.2
通讯作者:
S. Shen, F. Liu, V. Anh, I. Turner, J. Chen
S. Shen, F. Liu, V. Anh, I. Turner, J. Chen
中科院分区:
数学4区
文献类型:
--
作者:
S. Shen, F. Liu, V. Anh, I. Turner, J. Chen

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本文考虑一个空间分数阶平流色散方程。用β1阶的Riesz分数阶导数代替一阶和二阶空间导数,得到了标准平流扩散方程
In this paper, we consider a space fractional advection–dispersion equation. The equation is obtained from the standard advection–diffusion equation by replacing the first- and second-order space derivatives by the Riesz fractional derivatives of order β1