Lattice Boltzmann model for time sub-diffusion equation in Caputo sense
Author
Abstract
Suggested Citation
DOI: 10.1016/j.amc.2019.04.014
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Sun, HongGuang & Li, Zhipeng & Zhang, Yong & Chen, Wen, 2017. "Fractional and fractal derivative models for transient anomalous diffusion: Model comparison," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 346-353.
- Yan, Guangwu & Zhang, Jianying, 2009. "A higher-order moment method of the lattice Boltzmann model for the Korteweg–de Vries equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1554-1565.
- Velivelli, A.C. & Bryden, K.M., 2006. "Parallel performance and accuracy of lattice Boltzmann and traditional finite difference methods for solving the unsteady two-dimensional Burger's equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 362(1), pages 139-145.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Dai, Houping & Feng, Yingxin & Wei, Xuedan & Chen, Dongdong & Zheng, Zhoushun & Wang, Jianzhong, 2023. "Space fractional-order modeling for the sintering process of metal fibers via Lattice Boltzmann method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 373-387.
- Rui Du & Jincheng Wang & Dongke Sun, 2019. "Lattice-Boltzmann Simulations of the Convection-Diffusion Equation with Different Reactive Boundary Conditions," Mathematics, MDPI, vol. 8(1), pages 1-12, December.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Otomo, Hiroshi & Boghosian, Bruce M. & Dubois, François, 2017. "Two complementary lattice-Boltzmann-based analyses for nonlinear systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 1000-1011.
- Darvishi, M.T. & Najafi, Mohammad & Wazwaz, Abdul-Majid, 2021. "Conformable space-time fractional nonlinear (1+1)-dimensional Schrödinger-type models and their traveling wave solutions," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
- Zhang, Jianying & Yan, Guangwu, 2008. "Lattice Boltzmann method for one and two-dimensional Burgers equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4771-4786.
- Che Sidik, Nor Azwadi & Aisyah Razali, Siti, 2014. "Lattice Boltzmann method for convective heat transfer of nanofluids – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 38(C), pages 864-875.
- Chaudhary, Manish & Kumar, Rohit & Singh, Mritunjay Kumar, 2020. "Fractional convection-dispersion equation with conformable derivative approach," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
- L.J. Basson & Sune Ferreira-Schenk & Zandri Dickason-Koekemoer, 2022. "Fractal Dimension Option Hedging Strategy Implementation During Turbulent Market Conditions in Developing and Developed Countries," International Journal of Economics and Financial Issues, Econjournals, vol. 12(2), pages 84-95, March.
- Zhang, Xiaohua & Zhang, Ping, 2018. "A reduced high-order compact finite difference scheme based on proper orthogonal decomposition technique for KdV equation," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 535-545.
- Prakash, Amit & Kumar, Manoj & Baleanu, Dumitru, 2018. "A new iterative technique for a fractional model of nonlinear Zakharov–Kuznetsov equations via Sumudu transform," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 30-40.
- Krivovichev, Gerasim V., 2018. "Linear Bhatnagar–Gross–Krook equations for simulation of linear diffusion equation by lattice Boltzmann method," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 102-119.
- Huang, Lan-Lan & Baleanu, Dumitru & Mo, Zhi-Wen & Wu, Guo-Cheng, 2018. "Fractional discrete-time diffusion equation with uncertainty: Applications of fuzzy discrete fractional calculus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 166-175.
- Wu, Longyuan & Zhai, Shuying, 2020. "A new high order ADI numerical difference formula for time-fractional convection-diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 387(C).
- Duan, Jun-Sheng & Qiu, Xiang, 2018. "Stokes’ second problem of viscoelastic fluids with constitutive equation of distributed-order derivative," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 130-139.
- Zhang, Yuxin & Li, Qian & Ding, Hengfei, 2018. "High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: construction and application (I)," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 432-443.
- Hashan, Mahamudul & Jahan, Labiba Nusrat & Tareq-Uz-Zaman, & Imtiaz, Syed & Hossain, M. Enamul, 2020. "Modelling of fluid flow through porous media using memory approach: A review," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 643-673.
More about this item
Keywords
Lattice Boltzmann method; Fractional diffusion equation; Caputo sense;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:358:y:2019:i:c:p:80-90. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.