spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations

	spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations
	Wei Yabing 1; Zhao Yanmin 1; Shi Zhengguang 2; Wang Fenling 1; Tang Yifa3
	2018
发表期刊	actamathematicaeapplicataesinica
ISSN	0168-9673
卷号	34 期号:4 页码:828
摘要	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.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/36019
专题	计算数学与科学工程计算研究所
作者单位	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
推荐引用方式 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.