Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640825 | Journal of Computational and Applied Mathematics | 2009 | 17 Pages |
Abstract
In this paper, we consider a modified anomalous subdiffusion equation with a nonlinear source term for describing processes that become less anomalous as time progresses by the inclusion of a second fractional time derivative acting on the diffusion term. A new implicit difference method is constructed. The stability and convergence are discussed using a new energy method. Finally, some numerical examples are given. The numerical results demonstrate the effectiveness of theoretical analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
F. Liu, C. Yang, K. Burrage,