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Wei Yabing1; Zhao Yanmin1; Shi Zhengguang2; Wang Fenling1; Tang Yifa3
Source Publicationactamathematicaeapplicataesinica
AbstractIn 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.
Document Type期刊论文
2.School of Economic Mathematics, Southwestern University of Finance and Economic
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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