Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
Fractional Dynamics in Natural Phenomena
|
|
---|---|---|
Article Number | 12 | |
Number of page(s) | 18 | |
DOI | https://doi.org/10.1051/mmnp/2021007 | |
Published online | 22 March 2021 |
Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data
1
College of Science, Guilin University of Technology,
Guilin,
Guangxi
541004, P.R. China.
2
School of Sciences, Lanzhou University of Technology,
Lanzhou,
Gansu
730050, P.R. China.
* Corresponding author: chena@glut.edu.cn
Received:
21
June
2020
Accepted:
22
January
2021
In this paper, we consider a two-term time-fractional diffusion-wave equation which involves the fractional orders α ∈ (1, 2) and β ∈ (0, 1), respectively. By using piecewise linear Galerkin finite element method in space and convolution quadrature based on second-order backward difference method in time, we obtain a robust fully discrete scheme. Error estimates for semidiscrete and fully discrete schemes are established with respect to nonsmooth data. Numerical experiments for two-dimensional problems are provided to illustrate the efficiency of the method and conform the theoretical results.
Mathematics Subject Classification: 65M60 / 65N30 / 65N15
Key words: Two-term time-fractional diffusion-wave equation / finite element method / convolution quadrature / error estimate
© The authors. Published by EDP Sciences, 2021
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