Proceedings of the 2015 International Symposium on Energy Science and Chemical Engineering

Finite Difference Approximations for Fractional Reaction-Diffusion Equations and the Application in PM2.5

Authors
Changping Xie, Lang Li, Zhongzhan Huang, Jinyan Li, PengLiang Li, Shaomei Fang
Corresponding Author
Changping Xie
Available Online December 2015.
DOI
https://doi.org/10.2991/isesce-15.2015.79How to use a DOI?
Keywords
PM2.5; fractional reaction-diffusion equations; Crank-Nicolson method; numerical simulation
Abstract
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 .
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This is an open access article distributed under the CC BY-NC license.

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Proceedings
2015 International Symposium on Energy Science and Chemical Engineering
Part of series
Advances in Engineering Research
Publication Date
December 2015
ISBN
978-94-6252-140-7
ISSN
2352-5401
DOI
https://doi.org/10.2991/isesce-15.2015.79How to use a DOI?
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  -