Math. Model. Nat. Phenom.
Volume 16, 2021
Fractional Dynamics in Natural Phenomena
|Number of page(s)||18|
|Published online||22 March 2021|
Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data
College of Science, Guilin University of Technology,
541004, P.R. China.
2 School of Sciences, Lanzhou University of Technology, Lanzhou, Gansu 730050, P.R. China.
* Corresponding author: email@example.com
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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