Numerical approximation of a variable-order time fractional advection-reaction-diffusion model via shifted Gegenbauer polynomials

Numerical approximation of a variable-order time fractional advection-reaction-diffusion model via shifted Gegenbauer polynomials

The fractional advection-reaction-diffusion equation plays a key role in describing the processes of multiple species transported by a fluid. Different numerical methods have been proposed for the case of fixed-order derivatives, while there are no such methods for the generalization of variable-ord...

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Bibliographic Details
Main Authors: Yumei Chen, Jiajie Zhang, Chao Pan
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:AIMS Mathematics
Subjects:
advection-reaction-diffusion equation
variable-order time fractional derivative
atangana-baleanu-caputo derivative
shifted gegenbauer cardinal function
spectral collocation method
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022855?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022855?viewType=HTML

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