Finite Difference Method for Time-Space Fractional Advection–Diffusion Equations with Riesz Derivative

Finite Difference Method for Time-Space Fractional Advection–Diffusion Equations with Riesz Derivative

In this article, a numerical scheme is formulated and analysed to solve the time-space fractional advection–diffusion equation, where the Riesz derivative and the Caputo derivative are considered in spatial and temporal directions, respectively. The Riesz space derivative is approximated b...

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Bibliographic Details
Main Authors: Sadia Arshad, Dumitru Baleanu, Jianfei Huang, Maysaa Mohamed Al Qurashi, Yifa Tang, Yue Zhao
Format: Article
Language:English
Published: MDPI AG 2018-04-01
Series:Entropy
Subjects:
fractional advection dispersion equation
riesz derivative
caputo derivative
trapezoidal formula
Online Access:http://www.mdpi.com/1099-4300/20/5/321

Internet

http://www.mdpi.com/1099-4300/20/5/321

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