A Second-Order Two-Scale FEM Analysis for Time-Fractional Diffusion Equation with Small Periodic Coefficients

DOI

10.2991/csss-14.2014.5How to use a DOI?

Keywords

Second-order two-scale method; time-fractional diffusion equation; homogenization method; composite materials

Abstract

In this paper, a second-order two-scale method for time-fractional diffusion equation with rough periodic coefficients is presented by means of construction way. Based on the second-order two-scale asymptotic expansion, the homogenization solution and the cell functions are obtained. The second-order two-scale approximate solution is constructed by the cell functions and the homogenization solution. Numerical experiments are carried out to support the theoretical claims.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Wang Ziqiang
AU  - Cao Junying
PY  - 2014/06
DA  - 2014/06
TI  - A Second-Order Two-Scale FEM Analysis for Time-Fractional Diffusion Equation with Small Periodic Coefficients
BT  - Proceedings of the 3rd International Conference on Computer Science and Service System
PB  - Atlantis Press
SP  - 17
EP  - 20
SN  - 1951-6851
UR  - https://doi.org/10.2991/csss-14.2014.5
DO  - 10.2991/csss-14.2014.5
ID  - Ziqiang2014/06
ER  -