The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations-Reference-Cited by-同舟云学术

The Temporal Second Order Difference Schemes Based on the Interpolation Approximation for Solving the Time Multi-term and Distributed-Order Fractional Sub-diffusion Equations

Published:2017-03-11 Issue:1 Volume:73 Page:93-121
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Gao Guang-hua,Alikhanov Anatoly A.,Sun Zhi-zhong

Funder

National Natural Science Foundation of China

the Russian Presidential grant for young scientists

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/article/10.1007/s10915-017-0407-x/fulltext.html

Reference42 articles.

1. Oldham, K.B., Spanier, J.: The Fractional Calculus. Academic Press, New York (1974)

2. Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego (1999)

3. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006)

4. Li, C., Zeng, F.: Numerical Methods for Fractional Calculus. CRC Press, Boca Raton (2015)

5. Lubich, Ch.: Discretized fractional calculus. SIAM J. Math. Anal. 17, 704–719 (1986)

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