A fully discrete local discontinuous Galerkin method based on generalized numerical fluxes to variable-order time-fractional reaction-diffusion problem with the Caputo fractional derivative

A fully discrete local discontinuous Galerkin method based on generalized numerical fluxes to variable-order time-fractional reaction-diffusion problem with the Caputo fractional derivative

In this paper, an effective numerical method for solving the variable-order(VO) fractional reaction diffusion equation with the Caputo fractional derivative is constructed and analyzed. Based on the generalized alternating numerical flux, we get a fully discrete local discontinuous Galerkin scheme f...

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Bibliographic Details
Main Authors: Lijie Liu, Xiaojing Wei, Leilei Wei
Format: Article
Language:English
Published: AIMS Press 2023-08-01
Series:Electronic Research Archive
Subjects:
caputo fractional derivative
generalized alternating numerical flux
stability
error estimate
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2023289?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/era.2023289?viewType=HTML

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