A weighted ADI scheme with variable time steps for diffusion-wave equations-Reference-Cited by-同舟云学术

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A weighted ADI scheme with variable time steps for diffusion-wave equations

Published:2023-10-09 Issue:4 Volume:60 Page:
ISSN:0008-0624
Container-title:Calcolo
language:en
Short-container-title:Calcolo

Author:

Lyu Pin,Vong Seakweng^ORCID

Funder

NSF of China

NSF of Sichuan Province

University of Macau

Science and Technology Development Fund, Macau SAR

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s10092-023-00543-3.pdf

Reference38 articles.

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

2. 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)

3. Chen, X., Di, Y., Duan, J., Li, D.: Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations. Appl. Math. Lett. 84, 160–167 (2018)

4. Chen, X., Qin, H., Zhang, J.: A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition. Appl. Numer. Math. 156, 50–62 (2020)

5. Cui, M.: Compact alternating direction implicit method for two-dimensional time fractional diffusion equation. J. Comput. Phys. 231, 2621–2633 (2012)

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1. A Fast Second-Order ADI Finite Difference Scheme for the Two-Dimensional Time-Fractional Cattaneo Equation with Spatially Variable Coefficients;Fractal and Fractional;2024-07-31

2. A second-order weighted ADI scheme with nonuniform time grids for the two-dimensional time-fractional telegraph equation;Journal of Applied Mathematics and Computing;2024-07-27

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