On numerical methods for solving Riesz space fractional advection–dispersion equations based on spline interpolants-Reference-Cited by-同舟云学术

On numerical methods for solving Riesz space fractional advection–dispersion equations based on spline interpolants

Published:2022-09-17 Issue:7 Volume:41 Page:
ISSN:2238-3603
Container-title:Computational and Applied Mathematics
language:en
Short-container-title:Comp. Appl. Math.

Author:

Saeed Ihsan Lateef,Javidi Mohammad,Heris Mahdi Saedshoar

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s40314-022-02023-w.pdf

Reference35 articles.

1. Allwright A, Atangana A (2020) Augmented upwind numerical schemes for a fractional advection–dispersion equation in fractured groundwater systems. Discr Contin Dyn Syst-S 13(3):443

2. Bagley RL, Calico R (1991) Fractional order state equations for the control of viscoelastically damped structures. J Guid Control Dyn 14(2):304–311

3. Çelik C, Duman M (2012) Crank-nicolson method for the fractional diffusion equation with the Riesz fractional derivative. J Comput Phys 231(4):1743–1750

4. Ding H, Li C (2016) High-order algorithms for Riesz derivative and their applications (iii). Fract Calc Appl Anal 19(1):19–55

5. Ding H, Li C (2017) High-order algorithms for Riesz derivative and their applications (v). Numer Method Partial Differ Equ 33(5):1754–1794

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