High-Order Numerical Approximation for 2D Time-Fractional Advection–Diffusion Equation under Caputo Derivative

In this paper, we propose a novel approach for solving two-dimensional time-fractional advection–diffusion equations, where the fractional derivative is described in the Caputo sense. The discrete scheme is constructed based on the barycentric rational interpolation collocation method and the Gauss–...

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Bibliographic Details

Published in:	Fractal and Fractional
Main Authors:	Xindong Zhang, Yan Chen, Leilei Wei
Format:	Article
Language:	English
Published:	MDPI AG 2024-08-01
Subjects:	barycentric rational interpolation collocation method Caputo derivative time-fractional advection–diffusion equation Gauss–Legendre quadrature rule
Online Access:	https://www.mdpi.com/2504-3110/8/8/474