Linearized Crank–Nicolson Scheme for the Two-Dimensional Nonlinear Riesz Space-Fractional Convection–Diffusion Equation

Linearized Crank–Nicolson Scheme for the Two-Dimensional Nonlinear Riesz Space-Fractional Convection–Diffusion Equation

In this paper, we study the nonlinear Riesz space-fractional convection–diffusion equation over a finite domain in two dimensions with a reaction term. The Crank–Nicolson difference method for the temporal and the weighted–shifted Grünwald–Letnikov difference method for the spatial discretization ar...

Full description

Bibliographic Details
Main Authors: Merfat Basha, Eyaya Fekadie Anley, Binxiang Dai
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Fractal and Fractional
Subjects:
nonlinear system of equations
fractional convection–diffusion equation
ADI method
unconditional stability
convergence
Online Access:https://www.mdpi.com/2504-3110/7/3/240

Internet

https://www.mdpi.com/2504-3110/7/3/240

Similar Items