General matrix transform method for the Riesz space fractional advection-dispersion equations
Numerical Analysis
2021-05-26 v2 Numerical Analysis
Abstract
In this paper, a mixed high order finite difference scheme-Pad\'{e} approximation method is applied to obtain numerical solution of the Riesz fractional advection-dispersion equation. This method is based on the high order finite difference scheme that derived from fractional centered difference and Pad\'{e} approximation method for space and time integration, respectively. The stability analysis of the proposed method is discussed via theoretical matrix analysis. Numerical experiments are carried out to confirm the theoretical results of the proposed method.
Cite
@article{arxiv.1711.10724,
title = {General matrix transform method for the Riesz space fractional advection-dispersion equations},
author = {Sohrab Valizadeh and Abdollah Borhanifar},
journal= {arXiv preprint arXiv:1711.10724},
year = {2021}
}
Comments
21 Pages, 8 figures, this work has not been presented or published as an article right now