Sharp Error Analysis for Averaging Crank-Nicolson Schemes with Corrections for Subdiffusion with Nonsmooth Solutions-Reference-Cited by-同舟云学术

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Sharp Error Analysis for Averaging Crank-Nicolson Schemes with Corrections for Subdiffusion with Nonsmooth Solutions

Published:2024-06-16 Issue: Volume: Page:
ISSN:2096-6385
Container-title:Communications on Applied Mathematics and Computation
language:en
Short-container-title:Commun. Appl. Math. Comput.

Author:

Yin Baoli,Liu Yang,Li Hong

Funder

National Natural Science Foundation of China

Natural Science Foundation of Inner Mongolia Autonomous Region

Autonomous Region Level High-Level Talent Introduction Research Support Program in 2022

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s42967-024-00401-1.pdf

Reference33 articles.

1. Alikhanov, A.A.: A new difference scheme for the time fractional diffusion equation. J. Comput. Phys. 280, 424–438 (2015)

2. Barkai, E., Metzler, R., Klafter, J.: From continuous time random walks to the fractional Fokker-Planck equation. Phys. Rev. E 61(1), 132 (2000)

3. Chen, H., Stynes, M.: Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem. J. Sci. Comput. 79, 624–647 (2019)

4. Chen, S., Shen, J., Zhang, Z., Zhou, Z.: A spectrally accurate approximation to subdiffusion equations using the log orthogonal functions. SIAM J. Sci. Comput. 42(2), A849–A877 (2020)

5. Dimitrov, Y.: Numerical approximations for fractional differential equations. arXiv:1311.3935 (2013)

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