Name
Title | ||
|---|---|---|
Circulant-Based Approximate Inverse Preconditioners For A Class Of Fractional Diffusion Equations |
Abstract | ||
|---|---|---|
We consider fast solving a class of spatial fractional diffusion equations where the fractional differential operators are comprised of Riemann-Liouville and Caputo fractional derivatives. A circulant-based approximate inverse preconditioner is established for the discrete linear systems resulted from the finite difference discretization of this kind of fractional diffusion equations. By sufficiently exploring the Toeplitz-like structure and the rapid decay properties of the internal sub-matrices in the coefficient matrix, we show that the spectrum of the preconditioned matrix is clustered around one. Numerical experiments are performed to demonstrate the effectiveness of the proposed preconditioner. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.camwa.2021.01.007 | COMPUTERS & MATHEMATICS WITH APPLICATIONS |
Keywords | DocType | Volume |
Fractional diffusion equation, Finite difference method, Toeplitz-like, Circulant-based preconditioner, Decay property | Journal | 85 |
ISSN | Citations | PageRank |
0898-1221 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hong-Kui Pang | 1 | 1 | 1.03 |
| Hai-Hua Qin | 2 | 0 | 0.34 |
| Hai-Wei Sun | 3 | 0 | 0.68 |
| Ting-Ting Ma | 4 | 0 | 0.34 |