A Fourier method for the fractional diffusion equation describing sub-diffusion
نویسندگان
چکیده
In this paper, a fractional partial differential equation (FPDE) describing subdiffusion 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.
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عنوان ژورنال:
- J. Comput. Physics
دوره 227 شماره
صفحات -
تاریخ انتشار 2007