| Status | 已發表Published |
| Approximate inversion method for time-fractional sub-diffusion equations | |
Lu, X; Pang, H. K.; Sun, H. W. ; Vong, S. W.
| |
| 2018-03-01 | |
| Source Publication | Numerical Linear Algebra with Applications
 |
| ISSN | 1099-1506 |
| Pages | e2132-e2132 |
| Abstract | The finite difference method applied to the time-fractional sub-diffusion equation usually leads to a large-scale linear system with a block lower triangular Toeplitz (BLTT) coefficient matrix. The approximate inversion method is employed to solve this system. A sufficient condition is proved to guarantee the high accuracy of the approximate inversion method for solving the BLTT systems, which is easy to verify in practice and has a wide range of applications. The applications of this sufficient condition to several existing finite difference schemes are investigated. Numerical experiments are presented to verify the validity of theoretical results. |
| Keyword | Time-fractional sub-diffusion equations Approximate inversion method Fast Fourier transforms Block lower triangular Toeplitz matrix Matrix polynomial |
| Language | 英語English |
| The Source to Article | PB_Publication |
| PUB ID | 34250 |
| Document Type | Journal article |
| Collection | University of Macau |
| Corresponding Author | Sun, H. W. |
| Recommended Citation GB/T 7714 | Lu, X,Pang, H. K.,Sun, H. W.,et al. Approximate inversion method for time-fractional sub-diffusion equations[J]. Numerical Linear Algebra with Applications, 2018, e2132-e2132. |
| APA | Lu, X., Pang, H. K.., Sun, H. W.., & Vong, S. W. (2018). Approximate inversion method for time-fractional sub-diffusion equations. Numerical Linear Algebra with Applications, e2132-e2132. |
| MLA | Lu, X,et al."Approximate inversion method for time-fractional sub-diffusion equations".Numerical Linear Algebra with Applications (2018):e2132-e2132. |
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