Name
Abstract | ||
|---|---|---|
In this paper, we present a novel scheme for solving a time-fractional initial–boundary value problem, where the equation contains a sum of Caputo derivatives with orders between 0 and 1. In order to overcome the difficulty of initial layer, we introduce a change of variable in the temporal direction and investigate the regularity of the solutions of the resulting system. A modified L1 approximation is used to approximate the Caputo derivatives and a standard Galerkin-Spectral method is applied to approximate the spatial derivatives. Unconditional stability and convergence of the fully-discrete scheme are proved by applying a novel discrete fractional Grönwall inequality. Finally, numerical examples are given to confirm our theoretical results. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.matcom.2021.11.005 | Mathematics and Computers in Simulation |
Keywords | DocType | Volume |
Multi-term time-fractional equation,Modified L1 scheme,Chebyshev–Galerkin spectral method,Error estimates | Journal | 193 |
ISSN | Citations | PageRank |
0378-4754 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mianfu She | 1 | 0 | 0.34 |
| Dongfang Li | 2 | 106 | 15.34 |
| Hai-wei Sun | 3 | 0 | 0.68 |