Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1702789 | Applied Mathematical Modelling | 2016 | 16 Pages |
Abstract
In this paper, an implicit finite difference method is explored for the fractional subdiffusion system. The method is proved to be uniquely solvable, stable and convergent when 0<γ≤log23−10<γ≤log23−1 with the order of O(τ2+h2)O(τ2+h2) in L∞ norm by the energy method with some novel skilled processing. Numerical experiments show that the scheme is second-order accuracy in temporal direction and can reduce the storage requirement and CPU time. The capability upon physical simulation of the scheme is good and it can be used to imitate the subdiffusive process of the fractional dynamical system.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Xiuling Hu, Luming Zhang,