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asecondorderfinitedifferencespectralmethodforspacefractionaldiffusionequations
Huang Jianfei1; Nie Ningming2; Tang Yifa1
2014
Source Publicationsciencechinamathematics
ISSN1674-7283
Volume57Issue:6Pages:1303
AbstractA 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.
Language英语
Funding Project[National Center for Mathematics and Interdisciplinary Sciences, CAS] ; [National Natural Science Foundation of China]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/39283
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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