A finite difference method for a class of nonlinear fractional advection–diffusion​ equations

In this note, a numerical method based on finite differences to solve a class of nonlinear advection–diffusion fractional differential equation is proposed. The fractional operator considered here is the fractional Riemann–Liouville derivative or the fractional Riesz derivative of order α. The consi...

Full description

Bibliographic Details
Main Authors: Jocemar Q. Chagas, Giuliano G. La Guardia, Ervin K. Lenzi
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818121000498