A Matrix Transform Technique for Distributed-Order Time-Fractional Advection–Dispersion Problems

A Matrix Transform Technique for Distributed-Order Time-Fractional Advection–Dispersion Problems

Invoking the matrix transfer technique, we propose a novel numerical scheme to solve the time-fractional advection–dispersion equation (ADE) with distributed-order Riesz-space fractional derivatives (FDs). The method adopts the midpoint rule to reformulate the distributed-order Riesz-space FDs by me...

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Bibliographic Details
Main Authors: Mohammadhossein Derakhshan, Ahmed S. Hendy, António M. Lopes, Alexandra Galhano, Mahmoud A. Zaky
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Fractal and Fractional
Subjects:
advection–dispersion equation
matrix transform method
convergence analysis
distributed-order
Riesz fractional derivative
Online Access:https://www.mdpi.com/2504-3110/7/9/649

Internet

https://www.mdpi.com/2504-3110/7/9/649

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