Finite Difference Approximations for Fractional Reaction-Diffusion Equations and the Application in PM2.5
Changping Xie, Lang Li, Zhongzhan Huang, Jinyan Li, PengLiang Li, Shaomei Fang
Available Online December 2015.
- https://doi.org/10.2991/isesce-15.2015.79How to use a DOI?
- PM2.5; fractional reaction-diffusion equations; Crank-Nicolson method; numerical simulation
- In this paper, fractional reaction-diffusion equations are used to model the diffusion of PM2.5 in the air. First, based on the shifted Grünwald formula, we propose the fractional Crank-Nicolson method to solve the fractional reaction-diffusion equations. Then we prove the existence and uniqueness of numerical solutions, and establish the stability and convergence of the method. Furthermore, numerical examples are also provided to show the efficiency of the method. Finally, the diffusion of PM2.5 in Guangzhou is simulated by using this method under appropriate parameters .
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Changping Xie AU - Lang Li AU - Zhongzhan Huang AU - Jinyan Li AU - PengLiang Li AU - Shaomei Fang PY - 2015/12 DA - 2015/12 TI - Finite Difference Approximations for Fractional Reaction-Diffusion Equations and the Application in PM2.5 BT - 2015 International Symposium on Energy Science and Chemical Engineering PB - Atlantis Press SN - 2352-5401 UR - https://doi.org/10.2991/isesce-15.2015.79 DO - https://doi.org/10.2991/isesce-15.2015.79 ID - Xie2015/12 ER -