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- Jang, Bongsoo
- Computational Mathematical Science Lab.
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Fast L sigma method for variable order fractional derivative
- Author(s)
- Lee, Junse, Jang, Bongsoo
- Issued Date
- 2023-08-24
- Citation
- 10th International Council for Industrial and Applied Mathematics (ICIAM 2023 TOKYO)
- Abstract
- This work proposes a fast and high-order numerical scheme compromising a shifted binary block partition (SBBP) algorithm and the Lσ method for solving Caputo variable-order(VO) time-fractional diffusion equation. Improving the Lσ method for the VO fractional derivative, this novel approach has a convergence order of O(∆3−\bar{α}) with a computational complexity to O(n log n), where \bar{α}=||\alpha(t)||_{\infty}.
- Publisher
- International Council for Industrial and Applied Mathematics
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