Tinggang Zhao

May 4, 2024 | mdpi.com | Wenbin Li |Hongjun Ma |Tinggang Zhao

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Mar 22, 2023 | mdpi.com | Tinggang Zhao

Abstract:Transient anomalous diffusion may be modeled by a tempered fractional diffusion equation. In this paper, we present a spectral collocation method with tempered fractional Jacobi functions (TFJFs) as basis functions and obtain an efficient algorithm to solve tempered-type fractional differential equations. We set up the approximation error as O(Nμ−ν) for projection and interpolation by the TFJFs, which shows “spectral accuracy” for a certain class of functions.