Efficient numerical method for multi-term time-fractional diffusion equations with Caputo-Fabrizio derivatives

Efficient numerical method for multi-term time-fractional diffusion equations with Caputo-Fabrizio derivatives

In this paper, we consider a numerical method for the multi-term Caputo-Fabrizio time-fractional diffusion equations (with orders $ \alpha_i\in(0, 1) $, $ i = 1, 2, \cdots, n $). The proposed method employs a fast finite difference scheme to approximate multi-term fractional derivatives in time, req...

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Bibliografiske detaljer
Hovedforfatter: Bin Fan
Format: Article
Sprog:English
Udgivet: AIMS Press 2024-02-01
Serier:AIMS Mathematics
Fag:
multi-term time-fractional diffusion equation
caputo-fabrizio derivative
finite difference
spectral approximation
stability
error estimates
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