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Waveform relaxation for fractional sub-diffusion equations

Published:2020-10-10 Issue:4 Volume:87 Page:1445-1478
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Liu Jun,Jiang Yao-Lin,Wang Xiao-Long,Wang Yan

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

International Science and Technology Cooperation Program of Shaanxi Research and Development Plan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s11075-020-01014-4.pdf

Reference31 articles.

1. Podlubny, I.: Fractional Differential Equations. New York: Academic Press (1999)

2. Sun, H., Zhang, Y., Baleanu, D., Chen, W., Chen, Y.: A new collection of real world applications of fractional calculus in science and engineering. Commun Nonlinear Sci Numer Simulat 64, 213–231 (2018)

3. Metler, R, Jeon, JH, Cherstvy, AG, Barkai, E.: Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking. Phys Chem Chem Phys 16, 24128–24164 (2014)

4. Svetukhin, V.V., Sibatov, R.T.: Kinetics of subdiffusive growth of new phase particles in supersaturated solid solutions. J Exp Theor Phys 120, 678–686 (2015)

5. Bennett, K.M., Schmaidna, K.M., Bennett, R., Rowe, D.B., Lu, H., Hyde, J.S.: Characterization of continuously distributed cortical water diffusion rates with a stretched-exponential model. Magn Reson Med 50, 727–734 (2003)

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