| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 521361 | Journal of Computational Physics | 2007 | 12 Pages |
Abstract
In this paper, a fractional partial differential equation (FPDE) describing sub-diffusion is considered. An implicit difference approximation scheme (IDAS) for solving a FPDE is presented. We propose a Fourier method for analyzing the stability and convergence of the IDAS, derive the global accuracy of the IDAS, and discuss the solvability. Finally, numerical examples are given to compare with the exact solution for the order of convergence, and simulate the fractional dynamical systems.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Chang-Ming Chen, F. Liu, I. Turner, V. Anh,