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	A high order finite difference/spectral approximations to the time fractional diffusion equations
	Cao, Jun Yin ; Xu, Chuan Ju ; Wang, Zi Qiang ; Xu CJ(许传炬)
	2014
关键词	Polynomials
英文摘要	Conference Name:2012 International Conference on Advanced Material and Manufacturing Science, ICAMMS 2012. Conference Address: Beijing, China. Time:December 20, 2012 - December 21, 2012.; and Computer Science; Beijing Xinyongshun Academic-Exchange LTD; International Research Association of Information; Science Technology Press, China; In this paper, we consider the numerical solution of a time-fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the first order time derivative with a fractional derivative of order α, with 0 ≤ α ≤ 1. The main purpose of this work is to construct high order scheme to efficiently solve the time-fractional diffusion equation. The proposed method is based on a finite difference scheme in time and Legendre spectral methods in space. The numerical examples show the convergence rate is O(Δt3-α+N-M), where Δt, N and m are the time step size, the polynomial degree and the regularity of the exact solution, respectively. ? (2014) Trans Tech Publications, Switzerland.
语种	英语
出处	http://dx.doi.org/10.4028/www.scientific.net/AMR.875-877.781
出版者	Trans Tech Publications
内容类型	其他
源URL	[http://dspace.xmu.edu.cn/handle/2288/85908]
专题	数学科学－会议论文
推荐引用方式 GB/T 7714	Cao, Jun Yin,Xu, Chuan Ju,Wang, Zi Qiang,et al. A high order finite difference/spectral approximations to the time fractional diffusion equations. 2014-01-01.

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