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