spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations

	spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations
	Wei Yabing 1; Zhao Yanmin 1; Shi Zhengguang 2; Wang Fenling 1; Tang Yifa3
	2018
Source Publication	actamathematicaeapplicataesinica
ISSN	0168-9673
Volume	34 Issue:4 Pages:828
Abstract	In this paper, high-order numerical analysis of finite element method (FEM) is presented for twodimensional multi-term time-fractional diffusion-wave equation (TFDWE). First of all, a fully-discrete approximate scheme for multi-term TFDWE is established, which is based on bilinear FEM in spatial direction and Crank-Nicolson approximation in temporal direction, respectively. Then the proposed scheme is proved to be unconditionally stable and convergent. And then, rigorous proofs are given here for superclose properties in H~1–norm and temporal convergence in L~2-norm with order O(h~2+ τ~(3–α)), where h and τ are the spatial size and time step, respectively. At the same time, theoretical analysis of global superconvergence in H1-norm is derived by interpolation postprocessing technique. At last, numerical example is provided to demonstrate the theoretical analysis.
Language	英语
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/36019
Collection	计算数学与科学工程计算研究所
Affiliation	1.许昌学院 2.School of Economic Mathematics, Southwestern University of Finance and Economic 3.中国科学院数学与系统科学研究院
Recommended Citation GB/T 7714	Wei Yabing,Zhao Yanmin,Shi Zhengguang,et al. spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations[J]. actamathematicaeapplicataesinica,2018,34(4):828.
APA	Wei Yabing,Zhao Yanmin,Shi Zhengguang,Wang Fenling,&Tang Yifa.(2018).spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations.actamathematicaeapplicataesinica,34(4),828.
MLA	Wei Yabing,et al."spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations".actamathematicaeapplicataesinica 34.4(2018):828.

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