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	Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model
	Liu, Fawang ; Anh, Vo ; Zhuang, Pinghui ; Turner, Ian ; Burrage, Kevin ; Liu FW(刘发旺) ; Zhuang PH(庄平辉)
	2014
关键词	Numerical methods
英文摘要	Conference Name:2014 International Conference on Fractional Differentiation and Its Applications, ICFDA 2014. Conference Address: Catania, Italy. Time:June 23, 2014 - June 25, 2014.; A two-dimensional variable-order fractional nonlinear reaction-diffusion model is considered. A second-order spatial accurate semi-implicit alternating direction method for a two-dimensional variable-order fractional nonlinear reaction-diffusion model is proposed. Stability and convergence of the semi-implicit alternating direct method are established. Finally, some numerical examples are given to support our theoretical analysis. These numerical techniques can be used to simulate a two-dimensional variable order fractional FitzHugh-Nagumo model in a rectangular domain. This type of model can be used to describe how electrical currents flow through the heart, controlling its contractions, and are used to ascertain the effects of certain drugs designed to treat arrhythmia.
语种	英语
出处	http://dx.doi.org/10.1109/ICFDA.2014.6967430
出版者	Institute of Electrical and Electronics Engineers Inc.
内容类型	其他
源URL	[http://dspace.xmu.edu.cn/handle/2288/85904]
专题	数学科学－会议论文
推荐引用方式 GB/T 7714	Liu, Fawang,Anh, Vo,Zhuang, Pinghui,et al. Numerical treatment of a two-dimensional variable-order fractional nonlinear reaction-diffusion model. 2014-01-01.

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