A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation
Numerical Analysis
2014-05-20 v1
Abstract
Space fractional convection diffusion equation describes physical phenomena where particles or energy (or other physical quantities) are transferred inside a physical system due to two processes: convection and superdiffusion. In this paper, we discuss the practical alternating directions implicit method to solve the two-dimensional two-sided space fractional convection diffusion equation on a finite domain. We theoretically prove and numerically verify that the presented finite difference scheme is unconditionally von Neumann stable and second order convergent in both space and time directions.
Cite
@article{arxiv.1304.3788,
title = {A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation},
author = {Minghua Chen and Weihua Deng},
journal= {arXiv preprint arXiv:1304.3788},
year = {2014}
}
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25 pages