Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution-Reference-Cited by-同舟云学术

Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution

Published:2023-05-11 Issue:3 Volume:26 Page:1421-1464
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:Fract Calc Appl Anal

Author:

Nie Daxin,Sun Jing,Deng Weihua^ORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13540-023-00162-3.pdf

Reference32 articles.

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3. Metzler, R., Barkai, E., Klafter, J.: Anomalous diffusion and relaxation close to thermal equilibrium: A fractional Fokker-Planck equation approach. Phys. Rev. Lett. 82(18), 3563–3567 (1999). https://doi.org/10.1103/PhysRevLett.82.3563

4. Glöckle, W., Nonnenmacher, T.: A fractional calculus approach to self-similar protein dynamics. Biophys. J. 68(1), 46–53 (1995). https://doi.org/10.1016/S0006-3495(95)80157-8

5. Zaslavsky, G.M., Edelman, M., Niyazov, B.A.: Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics. Chaos 7(1), 159–181 (1997). https://doi.org/10.1063/1.166252

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