asecondorderfinitedifferencespectralmethodforspacefractionaldiffusionequations

	asecondorderfinitedifferencespectralmethodforspacefractionaldiffusionequations
	Huang Jianfei 1; Nie Ningming 2; Tang Yifa1
	2014
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	57 期号:6 页码:1303
摘要	A high order finite difference-spectral method is derived for solving space fractional diffusion equations, by combining the second order finite difference method in time and the spectral Galerkin method in space. The stability and error estimates of the temporal semidiscrete scheme are rigorously discussed, and the convergence order of the proposed method is proved to be O(tau (2) + N (alpha-m) ) in L (2)-norm, where tau, N, alpha and m are the time step size, polynomial degree, fractional derivative index and regularity of the exact solution, respectively. Numerical experiments are carried out to demonstrate the theoretical analysis.
语种	英语
资助项目	[National Center for Mathematics and Interdisciplinary Sciences, CAS] ; [National Natural Science Foundation of China]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/39283
专题	计算数学与科学工程计算研究所
作者单位	1.中国科学院数学与系统科学研究院 2.中国科学院计算机网络信息中心
推荐引用方式 GB/T 7714	Huang Jianfei,Nie Ningming,Tang Yifa. asecondorderfinitedifferencespectralmethodforspacefractionaldiffusionequations[J]. sciencechinamathematics,2014,57(6):1303.
APA	Huang Jianfei,Nie Ningming,&Tang Yifa.(2014).asecondorderfinitedifferencespectralmethodforspacefractionaldiffusionequations.sciencechinamathematics,57(6),1303.
MLA	Huang Jianfei,et al."asecondorderfinitedifferencespectralmethodforspacefractionaldiffusionequations".sciencechinamathematics 57.6(2014):1303.