The conservative characteristic difference method and analysis for solving two-sided space-fractional advection-diffusion equations-Reference-Cited by-同舟云学术

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The conservative characteristic difference method and analysis for solving two-sided space-fractional advection-diffusion equations

Published:2022-07-08 Issue:3 Volume:92 Page:1723-1755
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Hang Tongtong,Zhou Zhongguo,Pan Hao,Wang Yan

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Government

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s11075-022-01363-2.pdf

Reference47 articles.

1. Berkowitz, B.: Characterizing flow and transport in fractured geological media: a review. Adv. Water Resour. 25, 861–884 (2002)

2. Berkowitz, B., Scher, H., Silliman, S.: Anomalous transport in laboratory-scale, heterogeneous porous media. Water Resour. Res. 36, 149–158 (2000)

3. Bromly, M., Hinz, C.: Non-fickian transport in homogeneous unsaturated repacked sand. Water Resour. Res. 40, W07402 (2004)

4. Chen, M., Deng, W.: Fourth order accurate scheme for the space fractional diffusion equations. SIAM J. Numer. Anal. 52, 1418–1438 (2014)

5. Cushman, J., Ginn, T.: Fractional advection-dispersion equation: a classical mass balance with convolution-Fickian flux. Water Resour. Res. 36, 3763–3766 (2000)

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