A numerical method for a class of nonlinear fractional advection-diffusion equations
Analysis of PDEs
2020-10-09 v3
Abstract
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 . The consistency and unconditionally stability of the method are shown. Finally, an example of application of this method is presented.
Cite
@article{arxiv.2003.08015,
title = {A numerical method for a class of nonlinear fractional advection-diffusion equations},
author = {Jocemar Q. Chagas and Giuliano G. La Guardia and Ervin K. Lenzi},
journal= {arXiv preprint arXiv:2003.08015},
year = {2020}
}
Comments
9 pages, 2 figures