spatialhighaccuracyanalysisoffemfortwodimensionalmultitermtimefractionaldiffusionwaveequations | |
Wei Yabing2; Zhao Yanmin2; Shi Zhengguang3; Wang Fenling2; Tang Yifa1![]() | |
刊名 | actamathematicaeapplicataesinica
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2018 | |
卷号 | 34期号:4页码:828 |
ISSN号 | 0168-9673 |
英文摘要 | 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 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/36018] ![]() |
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.许昌学院 3.School of Economic Mathematics, Southwestern University of Finance and Economic |
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. |
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