Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703458 | Applied Mathematical Modelling | 2014 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Minghua Chen, Weihua Deng,